Works (269)

Updated: December 11th, 2024 08:12

2024 article

Mitigating Spatial Error in the Iterative Quasi-Monte Carlo (iQMC) Method for Neutron Transport Simulations with Linear Discontinuous Source Tilting and Effective Scattering and Fission Rate Tallies

Pasmann, S., Variansyah, I., Kelley, C. T., & McClarren, R. G. (2024, May 5). NUCLEAR SCIENCE AND ENGINEERING, Vol. 5.

author keywords: Neutron transport; Monte Carlo methods; Quasi-Monte Carlo; Krylov linear solvers; source tilting
Sources: Web Of Science, NC State University Libraries
Added: May 20, 2024

2024 journal article

MultiPrecisionArrays.jl: A Julia package for iterative refinement

Journal of Open Source Software.

By: C. Kelley*

Source: ORCID
Added: October 1, 2024

2023 article

A Quasi-Monte Carlo Method With Krylov Linear Solvers for Multigroup Neutron Transport Simulations

Pasmann, S., Variansyah, I., Kelley, C. T., & McClarren, R. (2023, January 13). NUCLEAR SCIENCE AND ENGINEERING, Vol. 1.

author keywords: Neutron transport; Monte Carlo methods; Quasi-Monte Carlo; Krylov linear Solvers
Sources: Web Of Science, NC State University Libraries
Added: February 6, 2023

2023 article

Adaptive basis sets for practical quantum computing

Kwon, H.-Y., Curtin, G. M. M., Morrow, Z., Kelley, C. T., & Jakubikova, E. (2023, April 5). INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, Vol. 4.

By: H. Kwon n, G. Curtin n, Z. Morrow n, C. Kelley n & E. Jakubikova n

author keywords: adaptive basis set; potential energy surface; quantum computing
TL;DR: This work shows that the use of adaptive basis sets, in which exponents and contraction coefficients depend on molecular structure, provide an easy way to dramatically improve the accuracy of quantum chemical calculations without the need to increase the basis set size and thus the number of qubits utilized in quantum circuits. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: ORCID, Web Of Science, NC State University Libraries
Added: April 6, 2023

2023 journal article

NEWTON'S METHOD IN THREE PRECISIONS

PACIFIC JOURNAL OF OPTIMIZATION, 20(3), 461–474.

By: C. Kelley

author keywords: Newton's method; iterative refinement; mixed-precision algorithms
Source: Web Of Science
Added: December 9, 2024

2022 journal article

Newton's Method in Mixed Precision

SIAM REVIEW, 64(1), 191–211.

By: C. Kelley*

author keywords: Newton's method; mixed precision arithmetic; backward error; probabilistic rounding analysis
TL;DR: The important ideas in the paper are O notation, (cid:13)oating 13 point precision, backward error in linear solvers, and Newton’s method. (via Semantic Scholar)
UN Sustainable Development Goal Categories
1. No Poverty (OpenAlex)
Sources: ORCID, Web Of Science, NC State University Libraries
Added: February 3, 2022

2021 journal article

ANDERSON ACCELERATION FOR A CLASS OF NONSMOOTH FIXED-POINT PROBLEMS

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 43(5), S1–S20.

By: W. Bian n, X. Chen n & C. Kelley n

author keywords: Key words; nonsmooth equatioins; Anderson acceleration; integral equations; nonlinear equations; fixed-point problems
TL;DR: It is proved that convergence of Anderson acceleration for a class of nonsmooth fixed-point problems for which the nonlinearities can be split into a smooth contractive part and a nonsm smooth part which has a smoothcontractive part. (via Semantic Scholar)
Sources: ORCID, Web Of Science, NC State University Libraries
Added: January 21, 2021

2021 journal article

Efficient Approximation of Potential Energy Surfaces with Mixed-Basis Interpolation

JOURNAL OF CHEMICAL THEORY AND COMPUTATION, 17(9), 5673–5683.

By: Z. Morrow n, H. Kwon n, C. Kelley n & E. Jakubikova n

TL;DR: This method is the only known interpolative method that appropriately conserves total energy in systems with both periodic and nonperiodic reaction coordinates and is applied to MD simulations of possible isomerization pathways of azomethane between cis and trans conformers. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (Web of Science; OpenAlex)
Sources: ORCID, Web Of Science, NC State University Libraries
Added: August 6, 2021

2021 journal article

Interpolation Methods for Molecular Potential Energy Surface Construction

JOURNAL OF PHYSICAL CHEMISTRY A, 125(45), 9725–9735.

By: H. Kwon n, Z. Morrow n, C. Kelley n & E. Jakubikova n

TL;DR: This article serves as a short overview of interpolative methods for the PES construction, including global polynomial interpolations, trigonometric interpolation, modified Shepard interpolation), interpolative moving least-squares, and the automated PESConstruction derived from these. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (Web of Science; OpenAlex)
Sources: ORCID, Web Of Science, NC State University Libraries
Added: November 4, 2021

2021 article

Reduced-dimensional surface hopping with offline-online computations

Morrow, Z., Kwon, H.-Y., Kelley, C. T., & Jakubikova, E. (2021, August 19). PHYSICAL CHEMISTRY CHEMICAL PHYSICS, Vol. 8.

By: Z. Morrow n, H. Kwon n, C. Kelley n & E. Jakubikova n

TL;DR: This work describes a method for surface hopping that uses only important reaction coordinates, performs all expensive evaluations of the true PESs and couplings only once before simulating dynamics (offline), and then queries the stored values during the surface hopping simulation (online). (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (Web of Science; OpenAlex)
Sources: ORCID, Web Of Science, NC State University Libraries
Added: August 27, 2021

2020 journal article

Mesh independence of the generalized Davidson algorithm

Journal of Computational Physics, 409, 109322.

author keywords: Generalized Davidson algorithm; Mesh independence; Neutron transport; Electronic structure computations
TL;DR: Conditions under which the generalized Davidson algorithm for eigenvalue computations is mesh-independent are given, which means that the iteration statistics of a sequence of discretizations of a problem in a Banach space converge the statistics for the infinite-dimensional problem. (via Semantic Scholar)
Source: ORCID
Added: February 21, 2020

2019 journal article

Approximating Periodic Potential Energy Surfaces with Sparse Trigonometric Interpolation

The Journal of Physical Chemistry B, 123(45), 9677–9684.

By: Z. Morrow n, C. Liu n, C. Kelley n & E. Jakubikova n

TL;DR: This work constructs a surrogate PES using trigonometric basis functions, for a system where the selected reaction coordinates all correspond to the torsion angles, resulting in a periodically repeating PES. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (Web of Science; OpenAlex)
Sources: ORCID, Crossref, NC State University Libraries
Added: November 2, 2019

2019 journal article

Convergence of the EDIIS Algorithm for Nonlinear Equations

SIAM Journal on Scientific Computing, 41(1), A365–A379.

By: X. Chen* & C. Kelley n

author keywords: nonlinear equations; Anderson acceleration; EDIIS
TL;DR: The Energy Direct Inversion on the Iterative Subspace (EDIIS) algorithm was designed to globalize Anderson acceleration, a method for improving the performance of fixed point iteration. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (Web of Science; OpenAlex)
Sources: Web Of Science, ORCID, Crossref, NC State University Libraries
Added: March 18, 2019

2019 journal article

Molecular Dynamics Simulations on Relaxed Reduced-Dimensional Potential Energy Surfaces

The Journal of Physical Chemistry A, 123(21), 4543–4554.

By: C. Liu n, C. Kelley n & E. Jakubikova n

TL;DR: A new MD implementation is presented that utilizes the relaxed reduced-dimensional PES for standard microcanonical (NVE) and canonical (NVT) MD simulations and is applied to the pyramidal inversion of a NH3 molecule. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (Web of Science; OpenAlex)
Sources: ORCID, Crossref, NC State University Libraries, Web Of Science
Added: June 24, 2019

2019 journal article

Optimization of processor allocation for domain decomposed Monte Carlo calculations

Parallel Computing, 87, 77–86.

author keywords: Monte Carlo transport; Load imbalance; Domain decomposition; Noisy optimization
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: Web Of Science, Crossref, NC State University Libraries
Added: September 16, 2019

2018 journal article

A Smoothing Direct Search Method for Monte Carlo-Based Bound Constrained Composite Nonsmooth Optimization

SIAM Journal on Scientific Computing, 40(4), A2174–A2199.

By: X. Chen*, C. Kelley n, F. Xu* & Z. Zhang*

author keywords: sampling methods; direct search algorithm; Monte Carlo simulation; nonsmooth optimization; smoothing functions; Clarke stationarity
TL;DR: This work proposes and analyzes a smoothing direct search algorithm for finding a minimizer of a nonsmooth nonconvex function over a box constraint set, where the objective function values cannot be compute. (via Semantic Scholar)
Sources: ORCID, Crossref, NC State University Libraries
Added: August 29, 2019

2018 journal article

Modeling Nondilute Species Transport Using the Thermodynamically Constrained Averaging Theory

Water Resources Research, 54(9), 6656–6682.

By: T. Weigand*, P. Schultz*, D. Giffen n, M. Farthing*, A. Crockett*, C. Kelley n, W. Gray*, C. Miller*

UN Sustainable Development Goal Categories
15. Life on Land (OpenAlex)
Sources: Web Of Science, ORCID, Crossref, NC State University Libraries
Added: November 12, 2018

2018 journal article

Numerical methods for nonlinear equations

Acta Numerica, 27, 207–287.

By: C. Kelley n

TL;DR: This article is about numerical methods for the solution of nonlinear equations and includes the classical methods to make the presentation complete and discusses less familiar topics such as Anderson acceleration, semi-smooth Newton’s method, and pseudo-arclength and Pseudo-transient continuation methods. (via Semantic Scholar)
Sources: Web Of Science, Crossref, NC State University Libraries
Added: August 6, 2018

2017 chapter

Implicit Filtering and Hidden Constraints

In Advances and Trends in Optimization with Engineering Applications (pp. 507–508).

Carl Kelley

Ed(s): T. Terlaky, M. Anjos & S. Ahmed

Sources: NC State University Libraries, NC State University Libraries
Added: September 11, 2019

2017 chapter

Implicit filtering and hidden constraints, in Advances and Trends in Optimization with Engineering Applications

In T. Terlaky, M. Anjos, & S. Ahmed (Eds.), MOS-SIAM Series on Optimization (Vol. 24, pp. 507–518). Philadelphia: SIAM.

By: C. Kelley

Ed(s): T. Terlaky, M. Anjos & S. Ahmed

Source: NC State University Libraries
Added: December 9, 2019

2017 journal article

Local Improvement Results for Anderson Acceleration with Inaccurate Function Evaluations

SIAM Journal on Scientific Computing, 39(5), S47–S65.

author keywords: nonlinear equations; Anderson acceleration; local improvement
TL;DR: This work analyzes the convergence of Anderson acceleration when the fixed point map is corrupted with errors and considers uniformly bounded errors and stochastic errors with infinite tails. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, Crossref, NC State University Libraries
Added: August 6, 2018

2016 journal article

An assessment of coupling algorithms for nuclear reactor core physics simulations

JOURNAL OF COMPUTATIONAL PHYSICS, 311, 241–257.

author keywords: Multiphysics; Jacobian-free Newton-Krylov; Anderson acceleration; Nuclear reactor analysis
TL;DR: This paper evaluates the performance of multiphysics coupling algorithms applied to a light water nuclear reactor core simulation and compares Picard iteration to Anderson acceleration and multiple variants of preconditioned Jacobian-free Newton-Krylov (JFNK). (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2015 journal article

A Generally Applicable Calibration Algorithm for Digitally Reconfigurable Self-Healing RFICs

IEEE Transactions on Very Large Scale Integration (VLSI) Systems, 24(3), 1151–1164.

By: E. Wyers n, M. Morton*, T. Sollner*, C. Kelley n & P. Franzon n

author keywords: Calibration; digitally reconfigurable radio frequency integrated circuits (RFICs); Hooke-Jeeves algorithm; Nelder-Mead algorithm; self-healing
TL;DR: It is shown that the proposed hybrid Nelder-Mead and Hooke-Jeeves calibration algorithm is capable of reducing the gain error and phase error of the phase rotator output to less than a maximum of 0.5 dB and 2° relative to the chosen gain and phase targets. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: Web Of Science, Crossref, NC State University Libraries
Added: August 6, 2018

2015 journal article

A Sparse Interpolation Algorithm for Dynamical Simulations in Computational Chemistry

SIAM Journal on Scientific Computing, 37(5), S137–S156.

By: J. Nance* & C. Kelley*

author keywords: sparse interpolation; sparse grids; Smolyak's algorithm; dynamics; reaction path following
TL;DR: A new implementation of Smolyak's sparse grid interpolation algorithm designed for dynamical simulations is presented, motivated by an application to quantum chemistry where the goal is to simulate photo-induced molecular transformations. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: Web Of Science, Crossref, NC State University Libraries
Added: August 6, 2018

2015 conference paper

Analysis of Anderson acceleration on a simplified neutronics/thermal hydraulics system

Joint International Conference on Mathematics and Computation (M&C), Supercomputing in Nuclear Applications (SNA) and the Monte Carlo (MC) Method.

By: A. Toth, C. Kelley, S. Slattery, S. Hamilton, K. Clarno & R. Pawlowski

Source: NC State University Libraries
Added: December 9, 2019

2015 journal article

Convergence Analysis for Anderson Acceleration

SIAM Journal on Numerical Analysis, 53(2), 805–819.

By: A. Toth* & C. Kelley*

author keywords: nonlinear equations; Anderson acceleration; local convergence
TL;DR: This paper shows that Anderson is locally r-linearly convergent if the fixed point map is a contraction and the coefficients in the linear combination remain bounded and proves q-linear convergence of Anderson(1) and, in the case of linear problems, Anderson($m$). (via Semantic Scholar)
Sources: Web Of Science, Crossref, ORCID
Added: August 6, 2018

2015 journal article

Insights into the Spin-State Transitions in [Fe(tpy)2]2+: Importance of the Terpyridine Rocking Motion

Inorganic Chemistry, 54(23), 11259–11268.

By: J. Nance n, D. Bowman n, S. Mukherjee n, C. Kelley n & E. Jakubikova n

TL;DR: It is suggested that tuning the energetics of the tpy ligand rocking motion could provide a way to control the ISC process in this complex. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (Web of Science; OpenAlex)
Sources: Web Of Science, Crossref, NC State University Libraries
Added: August 6, 2018

2015 journal article

Newton's Method for Monte Carlo--Based Residuals

SIAM Journal on Numerical Analysis, 53(4), 1738–1757.

By: J. Willert*, X. Chen* & C. Kelley n

author keywords: Newton's method; Monte Carlo simulation; JFNK methods; neutron transport
TL;DR: Algorithms are proposed which account for the randomness in the iteration of inexact Newton methods for problems where the nonlinear residual, Jacobian, and Jacobian-vector products are the outputs of Monte Carlo simulations. (via Semantic Scholar)
Sources: Web Of Science, ORCID, Crossref, NC State University Libraries
Added: August 6, 2018

2015 journal article

Optimization with Hidden Constraints and Embedded Monte Carlo Computations

Optimization and Engineering.

By: X. Chen & C. Kelley

Source: ORCID
Added: August 29, 2019

2015 journal article

Optimization with hidden constraints and embedded Monte Carlo computations

Optimization and Engineering, 17(1), 157–175.

By: X. Chen* & C. Kelley n

author keywords: Sampling methods; Monte Carlo simulation; Water resource policy; Hidden constraints
TL;DR: This paper explores the convergence properties of deterministic direct search methods when the objective function contains a stochastic or Monte Carlo simulation and presents new results for the case where the objective is only defined on a set with certain minimal regularity properties. (via Semantic Scholar)
Sources: Web Of Science, Crossref
Added: August 6, 2018

2014 journal article

A Hybrid Deterministic/Monte Carlo Method for Solving the k-Eigenvalue Problem with a Comparison to Analog Monte Carlo Solutions

Journal of Computational and Theoretical Transport, 43(1-7), 50–67.

By: J. Willert*, C. Kelley n, D. Knoll* & H. Park*

author keywords: neutron transport; k-eigenvalue problem; hybrid methods; moment-based acceleration
UN Sustainable Development Goal Categories
Sources: Web Of Science, Crossref, NC State University Libraries
Added: August 6, 2018

2014 journal article

Estimating Sampling Distributions of Apparent Thermal Diffusivity for Partially Saturated Soils

IEEE Trans. Geosci. Remote Sensing, 15.

By: O. Eslinger, C. Winton, J. Ballard, S. Howington, A. Fregosi, K. Ward, C. Kelley

Source: ORCID
Added: August 29, 2019

2014 journal article

HDMR applied to the 1-D, Single Speed Neutron Transport k-Eigenvalue Problem

Nuclear Science and Engineering, 177, 1–11.

By: Z. Hu, R. Smith, J. Willert & C. Kelley

Source: NC State University Libraries
Added: July 10, 2019

2014 journal article

High-Dimensional Model Representations for the Neutron Transport Equation

NUCLEAR SCIENCE AND ENGINEERING, 177(3), 350–360.

By: Z. Hu n, R. Smith n, J. Willert n & C. Kelley n

UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2014 journal article

Reaction Path Following with Sparse Interpolation

Journal of Chemical Theory and Computation, 10(8), 2942–2949.

By: J. Nance n, E. Jakubikova n & C. Kelley n

TL;DR: This paper presents a method that isolates d < 3N - 6 molecular coordinates and continuously follows reaction paths on d-dimensional potential energy surfaces approximated by a Smolyak's sparse grid interpolation algorithm and presents simulation results for the isomerization of 2-butene with two, three, and six degrees of freedom. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (Web of Science; OpenAlex)
Sources: ORCID, Web Of Science, Crossref, NC State University Libraries
Added: August 6, 2018

2013 journal article

A Bounded and Discretized Nelder-Mead Algorithm Suitable for RFIC Calibration

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 60(7), 1787–1799.

By: E. Wyers n, M. Steer n, C. Kelley n & P. Franzon n

author keywords: Calibration; derivative-free optimization; Nelder-Mead direct search algorithm; PLL spurious tone reduction; radio frequency integrated circuit calibration
TL;DR: It is shown that a gradient descent-based algorithm has difficulty in reducing the VCO control line ripple, while the proposed algorithm reduces the relative power of the first harmonic reference spurs by at least 10 dBc and effectively enables design complexity reduction in the supporting analog calibration circuitry. (via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2013 conference paper

A Hybrid Approach to the Neutron Transport k-Eigenvalue Problem using NDA-based Algorithms

Proceedings of International Conference on Mathematics and Computational Methods Applied to Nuclear Science & Engineering, 1934–1941.

By: J. Willert, C. Kelley, D. Knoll & H. Park

Source: NC State University Libraries
Added: July 10, 2019

2013 conference paper

An Efficient Parallel Solution to the Wigner-Poisson Equations

In F. Liu (Ed.), High Performance Computing Symposium (HPC 2013), Simulation Series Vol. 45, Society for Modeling & Simulation International (Vol. 45, pp. 773–780). Curran Associates Inc.

By: A. Costolanski, C. Kelley, G. Howell & A. Salinger

Ed(s): F. Liu

Source: NC State University Libraries
Added: October 7, 2019

2013 conference paper

Efficient Solutions to the NDA-NCA Low-Order Eigenvalue Problem

Proceedings of International Conference on Mathematics and Computational Methods Applied to Nuclear Science & Engineering, 2725–2735.

By: J. Willert & C. Kelley

Source: NC State University Libraries
Added: October 7, 2019

2013 article

Explicit Pseudo-Transient Continuation

Pacific J. Opt., Vol. 9, pp. 77–91.

By: C. Kelley & L. Liao

Source: ORCID
Added: August 29, 2019

2013 journal article

Explicit pseudo-transient continuation

Pacific Journal of Optimization, 9(1), 77–91.

By: C. Kelley & L. Liao

Source: NC State University Libraries
Added: August 6, 2018

2013 journal article

HYBRID DETERMINISTIC/MONTE CARLO NEUTRONICS

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 35(5), S62–S83.

By: J. Willert*, C. Kelley*, D. Knoll & H. Park

author keywords: JFNK methods; neutron transport; Monte Carlo simulation; hybrid methods
TL;DR: A hybrid deterministic/Monte Carlo algorithm for neutron transport simulation based on nonlinear accelerators for source iteration, using Monte Carlo methods for the purely absorbing high-order problem and a Jacobian-free Newton--Krylov iteration for the low- order problem. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2013 article

Hybrid Deterministic/Monte Carlo Neutronics

SIAM J. Sci. Comp., Vol. 35, pp. S62–S83.

By: J. Willert, C. Kelley*, D. Knoll & H. Park

UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Source: ORCID
Added: August 29, 2019

2013 conference paper

Mechanism of Drug Action on Alzheimer's Disease Protein

Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis. Presented at the Denver CO. Denver CO: IEEE Computer Society Press.

By: E. Briggs, M. Hodak, F. Rose, W. Lu, C. Kelley & J. Bernholc

Event: at Denver CO

Source: ORCID
Added: August 29, 2019

2013 article

Scalable Hybrid Deterministic/Monte Carlo Neutronics Simulations in Two Space Dimensions

2013 12TH INTERNATIONAL SYMPOSIUM ON DISTRIBUTED COMPUTING AND APPLICATIONS TO BUSINESS, ENGINEERING & SCIENCE (DCABES), pp. 7–10.

By: J. Willert n, C. Kelley n, D. Knoll* & H. Park*

author keywords: Neutron Transport; Jacobian-Free Newton-Krylov; NDA; Monte Carlo
TL;DR: This paper discusses a parallel hybrid deterministic/Monte Carlo (MC) method for the solution of the neutron transport equation in two space dimensions that uses an NDA formulation of the transport equation, with a MC solver for the high-order equation. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2013 journal article

Steady states for chemical process plants: A legacy code, time-stepping approach

AICHE JOURNAL, 59(9), 3308–3321.

By: A. Kavouras*, C. Georgakis*, C. Kelley n, C. Siettos* & I. Kevrekidis*

author keywords: equation-free computations; legacy dynamic simulator; unstable processes; inventories; time-steppers
TL;DR: This work constructs a computational procedure that can be “wrapped around” the simulator to compute its steady states and their dependence on input parameters, and enables legacy dynamic simulators to calculate several dynamic problem characteristics useful for controller design and/or process optimization. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2012 journal article

A Mathematical Biography of {Danny C. Sorensen}

LAA, 436, 2717–2724.

By: P. Benner, M. Embree, R. Lehoucq & C. Kelley

Source: ORCID
Added: August 29, 2019

2012 article

A mathematical biography of Danny C. Sorensen Preface

Benner, P., Embree, M., Lehoucq, R. B., & Kelley, C. T. (2012, April 15). LINEAR ALGEBRA AND ITS APPLICATIONS, Vol. 436, pp. 2717–2724.

By: P. Benner*, M. Embree*, R. Lehoucq* & C. Kelley n

Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2012 article

Hybrid Deterministic/Monte Carlo Neutronics using GPU Accelerators

2012 11TH INTERNATIONAL SYMPOSIUM ON DISTRIBUTED COMPUTING AND APPLICATIONS TO BUSINESS, ENGINEERING & SCIENCE (DCABES), pp. 43–47.

By: J. Willert n, C. Kelley n, D. Knoll*, H. Dong*, M. Ravishankar*, P. Sathre*, M. Sullivan*, W. Taitano*

author keywords: Neutron Transport; Jacobian-Free Newton-Krylov; GPU; Monte Carlo
TL;DR: A GPU implementation of a hybrid deterministic/Monte Carlo method for the solution of the neutron transport equation using GPUs to perform a Monte Carlo transport sweep as part of the evaluation of the nonlinear residual and Jacobian-vector product is discussed. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2012 conference paper

Hybrid Deterministic/Monte Carlo Neutronics using GPU Accelerators

In Q. Guo & C. Douglas (Eds.), 2012 International Symposium on Distributed Computing and Applications to Business, Engineering and Science (pp. 43–47). Los Alamitos, CA: IEEE.

By: J. Willert, C. Kelley, D. Knoll, H. Dong, M. Ravishankar, P. Sathre, M. Sullivan, W. Taitano

Ed(s): Q. Guo & C. Douglas

Event: at Los Alamitos, CA

Source: ORCID
Added: August 29, 2019

2012 article

Inexact Levenberg-Marquardt with Reduced Order Models

Water Resources Research.

By: C. Winton, C. Kelley, O. Eslinger, J. Hensley & A. Hines

Source: ORCID
Added: August 29, 2019

2012 journal article

Numerical simulation of water resources problems: Models, methods, and trends

ADVANCES IN WATER RESOURCES, 51, 405–437.

By: C. Miller*, C. Dawson*, M. Farthing*, T. Hou*, J. Huang*, C. Kees*, C. Kelley n, H. Langtangen*

author keywords: Adaptive methods; Problem solving environments; Multiscale methods; Integral methods; GPUs; Error estimation and control
TL;DR: The goal of this work is to provide guidance to enable modelers of water resources systems to make sensible choices when developing solution methods based upon the current state of knowledge and to focus future collaborative work among water resources scientists, applied mathematicians, and computational scientists on productive areas. (via Semantic Scholar)
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation (Web of Science; OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2012 journal article

Patient-specific modeling of cardiovascular and respiratory dynamics during hypercapnia

Mathematical Biosciences, 241(1), 56–74.

By: L. Ellwein*, S. Pope*, A. Xie*, J. Batzel*, C. Kelley n & M. Olufsen n

author keywords: Sensitivity analysis; Parameter estimation; Physiological models; Cerebral blood flow; Complex models
MeSH headings : Cerebrovascular Circulation; Heart Failure / physiopathology; Humans; Hypercapnia / physiopathology; Male; Mathematical Concepts; Middle Aged; Models, Biological; Models, Cardiovascular; Respiratory Physiological Phenomena; Vascular Resistance
TL;DR: A lumped cardiovascular-respiratory system-level model is developed that incorporates patient-specific data to predict cardiorespiratory response to hypercapnia (increased CO(2) partial pressure) for a patient with congestive heart failure (CHF). (via Semantic Scholar)
Sources: Web Of Science, Crossref
Added: August 6, 2018

2012 article

Research Spotlights: New Opportunities for SIAM Review Authors

SIAM News.

By: C. Kelley & R. Tuminaro

Source: ORCID
Added: August 29, 2019

2012 journal article

Simulations of Light-Induced Molecular Transformations in Multiple Dimensions with Incremental Sparse Surrogates

Journal of Algorithms & Computational Technology, 6(4), 577–592.

By: D. Mokrauer, C. Kelley* & A. Bykhovski n

TL;DR: A method of simulation that incrementally builds a surrogate for the potential energy function by computing gridpoints in parallel is proposed and Smolyak's algorithm for sparse interpolation is incorporated as the energy surrogates since it keeps the number of gridpoints at a manageable number. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Source: Crossref
Added: July 20, 2019

2012 article

Simulations of Light-Induced Molecular Transformations in Multiple Dimensions with Incremental Sparse Surrogates

J. Algorithms Comp Tech, Vol. 6, pp. 577–592.

By: D. Mokrauer, C. Kelley & A. Bykhovski

Source: ORCID
Added: August 29, 2019

2012 article

Sparse interpolatory reduced-order models for simulation of light-induced molecular transformations

Mokrauer, D., & Kelley, C. (2012, July). Optimization Methods and Software, Vol. 29, pp. 1–10.

By: D. Mokrauer* & C. Kelley n

TL;DR: A method for using interpolatory models to accurately and efficiently simulate molecular excitation and relaxation using sparse interpolation for efficiency and local error estimation and control for robustness and accuracy is described. (via Semantic Scholar)
Sources: NC State University Libraries, ORCID, NC State University Libraries
Added: August 6, 2018

2011 journal article

Application of Proper Orthogonal Decomposition (POD) to inverse problems in saturated groundwater flow

ADVANCES IN WATER RESOURCES, 34(12), 1519–1526.

By: C. Winton n, J. Pettway, C. Kelley n, S. Howington* & O. Eslinger

author keywords: Proper Orthogonal Decomposition; Optimization; Parameter estimation; Inverse problem; Saturated groundwater flow
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation (OpenAlex)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2011 conference paper

Application of a Modified Nelder-Mead Algorithm for calibrating RF Analog Integrated Circuits

Proceedings GOMACTech'11, 545–548.

By: E. Wyers, M. Steer, C. Kelley & P. Franzon

Sources: ORCID, NC State University Libraries
Added: August 29, 2019

2011 journal article

FINDING A STABLE SOLUTION OF A SYSTEM OF NONLINEAR EQUATIONS ARISING FROM DYNAMIC SYSTEMS

JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 7(2), 497–521.

By: C. Kelley n, L. Qi*, X. Tong* & H. Yin*

author keywords: System of nonlinear equations; stable solutions; saddle-node bifurcation; Hopf bifurcation; stability functions; smoothing Newton method
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2011 journal article

Finding A Stable Solution of A System of Nonlinear Equations

J. Indus. Manag. Opt., 7, 497–521.

By: C. Kelley, L. Qi, X. Tong & H. Yin

Source: ORCID
Added: August 29, 2019

2011 monograph

Implicit Filtering

By: C. Kelley*

TL;DR: This book describes the algorithm, its convergence theory, and a new MATLAB implementation, and includes three case studies, and is the only one in the area of derivative-free or sampling methods and is accompanied by publicly available software. (via Semantic Scholar)
Source: Crossref
Added: July 27, 2019

2011 book

Implicit Filtering

Philadelphia: SIAM.

By: C. Kelley

Event: at Philadelphia

Source: ORCID
Added: August 29, 2019

2011 journal article

Nonlinear Least Squares Problems and Subset Selection

SIAM J. Numer. Anal., 49, 1244–1266.

By: I. Ipsen, C. Kelley & S. Pope

Source: ORCID
Added: August 29, 2019

2011 article

Patient specific modeling of cardiovascular and respiratory dynamics during hypercapnia

Mathematical Biosciences, Vol. 241, pp. 56–74.

By: L. Ellwein, S. Pope, A. Xie, J. Batzel, C. Kelley & M. Olufsen

Source: ORCID
Added: August 29, 2019

2011 journal article

RANK-DEFICIENT NONLINEAR LEAST SQUARES PROBLEMS AND SUBSET SELECTION

SIAM JOURNAL ON NUMERICAL ANALYSIS, 49(3), 1244–1266.

By: I. Ipsen*, C. Kelley* & S. Pope

Contributors: I. Ipsen*, C. Kelley* & S. Pope

author keywords: nonlinear least squares; Levenberg-Marquardt algorithm; subset selection; singular value decomposition
TL;DR: The local convergence of the Levenberg-Marquardt method is examined for the solution of nonlinear least squares problems that are rank-deficient and have nonzero residual to show that replacing the Jacobian by a truncated singular value decomposition can be numerically unstable. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, ORCID
Added: August 6, 2018

2011 article

Users' Guide for imfil

By: C. Kelley

Source: ORCID
Added: August 29, 2019

2010 journal article

Efficient Parallel Computation of Molecular Potential Energy Surfaces for the Study of Light-Induced Transition Dynamics in Multiple Coordinates

IEEE TRANSACTIONS ON NANOTECHNOLOGY, 10(1), 70–74.

By: D. Mokrauer n, C. Kelley n & A. Bykhovski n

author keywords: Algorithm design and analysis; chemical sensors; 1H NMR; nanoelectonics; stibenes; UV-vis spectroscopy
TL;DR: The research reported here will address the development of parallel computational algorithms that allow for the highly efficient study of molecular conformational dynamics over multiple numbers of multidimensional energy surfaces and will allow researchers to efficiently explore the light-induced conformation dynamics associated with complex biomolecules. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2010 journal article

Efficient Solution of the Wigner-Poisson Equation for Modeling Resonant Tunneling Diodes

IEEE Transactions on Nanotechnology, 9(6), 708–715.

By: A. Costolanski n & C. Kelley n

UN Sustainable Development Goal Categories
Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2010 conference paper

Parallel Computation of Surrogate Models for Potential Energy Surfaces

In Q. Qingping & G. Yucheng (Eds.), 2010 International Symposium on Distributed Computing and Applications to Business, Engineering and Science (pp. 1–4). Los Alamitos, CA: IEEE.

By: D. Mokrauer, C. Kelley & A. Bykhovski

Ed(s): Q. Qingping & G. Yucheng

Event: at Los Alamitos, CA

Source: ORCID
Added: August 29, 2019

2010 article

Rank-Deficient and Ill-Conditioned Nonlinear Least Squares Problems

By: C. Kelley, I. Ipsen & S. Pope

Source: ORCID
Added: August 29, 2019

2010 article

Special issue in Memory of Alexander Rubinov

Pacific Journal of Optimization, Vol. 6.

By: M. Fukushima, C. Kelley, L. Qi, J. Sun & Y. Ye

Source: NC State University Libraries
Added: August 6, 2018

2009 conference paper

Calibration of Ground Water Models with {POD}

In M. Heinkenschloss, R. H. W. Hoppe, & V. Schultz (Eds.), Numerical Techniques for Optimization Problems with PDE constraints (pp. 47–49).

By: C. Kelley, C. Winton, O. Eslinger & J. Pettway

Ed(s): M. Heinkenschloss, R. Hoppe & V. Schultz

Source: ORCID
Added: August 29, 2019

2009 journal article

Combining Trust-Region Techniques and {R}osenbrock Methods for Gradient Systems

J. Optim. Theory Appl., 140, 265–286.

By: X. Luo, C. Kelley, L. Liao & H. Tam

Source: ORCID
Added: August 29, 2019

2009 journal article

Convergence Analysis of Sampling Methods for Perturbed {L}ipschitz Functions

Pacific J. Opt., 5(2), 339–350.

By: D. Finkel & C. Kelley

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2009 journal article

More efficient optimization of long-term water supply portfolios

WATER RESOURCES RESEARCH, 45.

By: B. Kirsch*, G. Characklis*, K. Dillard* & C. Kelley n

TL;DR: This work describes the integration of a variance reduction technique (control variate method) within the simulation/optimization as a means of more efficiently identifying minimum cost portfolios. (via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2009 journal article

Sparse interpolatory reduced-order models for simulation of light-induced molecular transformations

Optimization Methods and Software, 29(2), 264–273.

By: M. Aoi n, C. Kelley n, V. Novak* & M. Olufsen n

TL;DR: A sensitivity analysis, ranking model parameters from the most to the least sensitive, and an analysis (using a methodology called subset selection) that allows identification of correlations among model parameters are presented. (via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being (OpenAlex)
Sources: Crossref, NC State University Libraries, ORCID
Added: August 29, 2019

2008 journal article

A Comparison of Derivative-Free Optimization Methods for Groundwater Supply and Hydraulic Capture Problems

Advances in Water Resources, 31, 743–757.

By: K. Fowler, J. Reese, C. Kees, J. Dennis, C. Kelley, C. Miller, C. Audet, A. Booker ...

UN Sustainable Development Goal Categories
13. Climate Action (OpenAlex)
Source: ORCID
Added: August 29, 2019

2008 journal article

A continuous {N}ewton-type method for unconstrained optimization

Pacific Journal of Optimization, 4(2), 259–277.

By: L. Zhang, C. Kelley & L. Liao

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2008 journal article

Combining Trust-Region Techniques and Rosenbrock Methods to Compute Stationary Points

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 140(2), 265–286.

By: X. Luo*, C. Kelley n, L. Liao* & H. Tam*

author keywords: Trust-region methods; Unconstrained optimization; Rosenbrock method; Gradient system; Ordinary differential equations
TL;DR: A trust-region technique to select the time steps of a second-order Rosenbrock method for a special initial-value problem, namely, a gradient system obtained from an unconstrained optimization problem. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2008 journal article

Comparison of derivative-free optimization methods for groundwater supply and hydraulic capture community problems

ADVANCES IN WATER RESOURCES, 31(5), 743–757.

By: K. Fowler*, J. Reese*, C. Kees*, J. Dennis*, C. Kelley n, C. Miller*, C. Audet*, A. Booker* ...

author keywords: sampling methods; genetic algorithm; local minima; nondifferentiable objective function
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation (OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2008 journal article

ESTIMATION AND IDENTIFICATION OF PARAMETERS IN A LUMPED CEREBROVASCULAR MODEL

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 6(1), 93–115.

By: S. Pope n, L. Ellwein*, C. Zapata, V. Novak*, C. Kelley* & M. Olufsen*

author keywords: cardiovascular modeling; systemic resistance; cerebrovascular resistance; parameter estimation; sensitivity analysis; subset selection
MeSH headings : Adult; Aged; Blood Flow Velocity / physiology; Blood Pressure / physiology; Brain / blood supply; Brain / physiology; Cerebral Arteries / physiology; Cerebrovascular Circulation / physiology; Computer Simulation; Female; Humans; Male; Middle Aged; Models, Cardiovascular; Ventricular Function / physiology; Young Adult
TL;DR: The method discussed in this study provides a new methodology to extract clinical markers that cannot easily be assessed noninvasively by using nonlinear optimization combined with sensitivity analysis and subset selection. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2008 journal article

Estimation and identification of parameters in a lumped cerebrovascular model

Math. Biosci. Eng., 6, 93–115.

By: S. Pope, L. Ellwein, C. Zapata, V. Novak, C. Kelley & M. Olufsen

Source: ORCID
Added: August 29, 2019

2008 journal article

PROJECTED PSEUDOTRANSIENT CONTINUATION

SIAM JOURNAL ON NUMERICAL ANALYSIS, 46(6), 3071–3083.

By: C. Kelley n, L. Liao, L. Qi, M. Chu n, J. Reese* & C. Winton n

Contributors: C. Kelley n, L. Liao, L. Qi, M. Chu n, J. Reese* & C. Winton n

author keywords: pseudotransient continuation; constrained dynamics; gradient flow; bound-constrained optimization; quasi-Newton method
TL;DR: A pseudotransient continuation algorithm for dynamics on subsets of $R^N$. (via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2008 journal article

Projected Pseudo-Transient Continuation

SIAM J. Numer. Anal., 46(6), 3071–3083.

By: C. Kelley, L. Liao, L. Qi, M. Chu, J. Reese & C. Winton

Source: ORCID
Added: August 29, 2019

2008 journal article

Pseudo-transient continuation for nonlinear transient elasticity

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 78(10), 1209–1219.

By: M. Gee*, C. Kelley n & R. Lehoucq*

author keywords: transient elasticity; finite element approximation; pseudo-transient continuation; Newton's method
Sources: Web Of Science, ORCID
Added: August 6, 2018

2008 journal article

Solutions of the optimized closure integral equation theory: Heteronuclear polyatomic fluids

JOURNAL OF CHEMICAL THEORY AND COMPUTATION, 4(3), 385–396.

By: M. Marucho n, C. Kelley n & B. Pettitt n

TL;DR: A high-performance algorithm is introduced which is found to be faster and more efficient than the direct Picard iteration to solve the aforementioned optimized theory for molecules more complex than those considered previously. (via Semantic Scholar)
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation (OpenAlex)
13. Climate Action (Web of Science)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2007 article

A Case Study in Using Local {I/O} and {GPFS} to Improve Simulation Scalability

8th LCI International Conference on High-Performance Clustered Computing.

Carl Kelley

Source: ORCID
Added: August 29, 2019

2007 journal article

Analysis of A Scalable Preconditioner for the Wigner-Poisson Equation

International Journal of Pure and Applied Mathematics, 37, 247–270.

By: M. Lasater, C. Kelley, A. Salinger, D. Woolard, G. Recine & P. Zhao

Sources: ORCID, NC State University Libraries
Added: August 29, 2019

2007 journal article

Condition estimates for pseudo-arclength continuation

SIAM JOURNAL ON NUMERICAL ANALYSIS, 45(1), 263–276.

By: K. Dickson*, C. Kelley*, I. Ipsen & I. Kevrekidis

author keywords: pseudo-arclength continuation; singularity; GMRES; singular vectors; eigenvalues; rank-one update; turning point; simple fold; fold point; limit point
TL;DR: The condition number of the Jacobian is bound in pseudo-arclength continuation problems, and the effect of this condition number on the linear system solution in a Newton-GMRES solve is quantified. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, ORCID
Added: August 6, 2018

2007 article

Convergence Analysis of the {DIRECT} Algorithm

By: D. Finkel & C. Kelley

Source: ORCID
Added: August 29, 2019

2006 journal article

Additive scaling and the DIRECT algorithm

JOURNAL OF GLOBAL OPTIMIZATION, 36(4), 597–608.

By: D. Finkel* & C. Kelley n

author keywords: DIRECT; global optimization; additive scaling
TL;DR: It is shown that the convergence behavior of the DIviding RECTangles (DIRECT) algorithm is sensitive to additive scaling of the objective function and how the algorithm can be modified to eliminate this sensitivity is shown. (via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2006 journal article

Developing portfolios of water supply transfers

WATER RESOURCES RESEARCH, 42(5).

By: G. Characklis*, B. Kirsch*, J. Ramsey, K. Dillard n & C. Kelley n

Sources: Web Of Science, ORCID
Added: August 6, 2018

2006 article

Model Reduction for Nonlinear Least Squares

By: C. Kelley, D. Sorensen, J. Reese & C. Winton

Source: ORCID
Added: August 29, 2019

2006 conference paper

Nonlinear multilevel iterative methods for multiscale models of air/water flow in porous media

Proceedings of Computational Methods in Water Resources XVI, Paper number 256, 8 pages.

By: C. Kees, M. Farthing, S. Howington, E. Jenkins & C. Kelley

Source: ORCID
Added: August 29, 2019

2006 journal article

Parallel Parameter Study of the {Wigner-Poisson} Equations for {RTDs}

Computers and Mathematics with Applications, 51, 1677–1688.

By: M. Lasater, C. Kelley, A. Salinger, D. Woolard & P. Zhao

Source: ORCID
Added: August 29, 2019

2006 article

Parallel parameter study of the Wigner-Poisson equations for RTDs

Lasater, M. S., Kelley, C. T., Salinger, A. G., Woolard, D. L., & Zhao, P. (2006, June). COMPUTERS & MATHEMATICS WITH APPLICATIONS, Vol. 51, pp. 1677–1688.

By: M. Lasater n, C. Kelley n, A. Salinger*, D. Woolard* & P. Zhao n

author keywords: Wigner-Poisson equation; resonant tunneling diode; continuation; LOCA; scalability
TL;DR: A parametric study of the solution of the Wigner-Poisson equations for resonant tunneling diodes, using LOCA and other packages in the Trilinos framework to enable efficient parallelization of the solutions and to perform bifurcation analysis of this model. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2006 article

Reduced order models for nonlinear least squares problems

By: C. Kelley, D. Sorensen, J. Reese & C. Winton

Source: ORCID
Added: August 29, 2019

2006 conference paper

Simulating Nanoscale Devices

In H. Iwai, Y. Nishi, M. S. Shur, & H. Wong (Eds.), International Journal of High Speed Electronics and Systems (Vol. 16, pp. 677–690). World Scientific.

By: M. Lasater, C. Kelley, A. Salinger, P. Zhao & D. Woolard

Ed(s): H. Iwai, Y. Nishi, M. Shur & H. Wong

Source: ORCID
Added: August 29, 2019

2006 conference paper

Simulating Non-{D}arcy Flow through Porous Media using {S}undance

Proceedings of Computational Methods in Water Resources XVI, Paper number 148, 8 pages.

By: J. Reese, K. Long, C. Kelley, C. Miller & W. Gray

Source: ORCID
Added: August 29, 2019

2006 journal article

Spatially distributed stochastic systems: Equation-free and equation-assisted preconditioned computations

JOURNAL OF CHEMICAL PHYSICS, 125(20).

By: L. Qiao*, R. Erban*, C. Kelley n & I. Kevrekidis*

TL;DR: This paper shows how approximate macroscopic PDEs can be exploited in constructing preconditioners to accelerate stochastic computations for spatially distributed particle-based process models and illustrates how such preconditionsing can improve the convergence of equation-free coarse-grained methods based on coarse timesteppers. (via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2006 article

Using Water Transfers to Manage Supply Risk

Proceedings of Symposium on Safe Drinking Water: Where Science Meets Policy. Chapel Hill, NC.

By: G. Characklis, B. Kirsch, J. Ramsey, K. Dillard & C. Kelley

Event: at Chapel Hill, NC

Source: ORCID
Added: August 29, 2019

2006 article

{SETraNS} Manual: Simulation of Electronic Transport in Nanoscale Structures

By: M. Lasater, G. Recine, C. Kelley, D. Woolard & P. Zhao

Source: ORCID
Added: August 29, 2019

2005 report

Multilevel wavelet solver for the Ornstein-Zernike equation

(No. CRSC-TR05-07). North Carolina State University, Center for Research in Scientific Computation.

By: M. Federov, G. Chuev, C. Kelley & B. Pettitt

Source: ORCID
Added: August 29, 2019

2005 journal article

Pseudo-transient Continuation for Nonsmooth Nonlinear Equations

SIAM J. Numer. Anal., 43(4), 1385–1406.

By: K. Fowler & C. Kelley*

TL;DR: It is shown how steady-state solutions to certain ordinary and differential algebraic equations with nonsmooth dynamics can be computed with the method of pseudo-transient continuation. (via Semantic Scholar)
Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2005 conference paper

Terahertz-Frequency Quantum Oscillator Operating in the Positive Differential Resistance Region

Proceedings of SPIE Defense and Security Symposium 2005: Terahertz for Military & Security Application III, paper number 5790-34, 5790, 289–300.

By: P. Zhao, D. Woolard, M. Lasater & C. Kelley

Event: North Carolina State University, Center for Research in Scientific Computation

Source: ORCID
Added: August 29, 2019

2004 journal article

A Fast Algorithm for the {Ornstein-Zernike} Equations

J. Comp. Phys., 197, 491–591.

By: C. Kelley & B. Pettitt

Source: ORCID
Added: August 29, 2019

2004 conference paper

A Hydraulic Capture Application for Optimal Remeidation Design

In C. T. Miller, M. W. Farthing, W. G. Gray, & G. F. Pinter (Eds.), Proceedings of Computational Methods in Water Resources XV (pp. 1149–1158). Amsterdam: Elsevier.

By: K. Fowler, C. Kelley, C. Kees & C. Miller

Ed(s): C. Miller, M. Farthing, W. Gray & G. Pinter

Event: at Amsterdam

Source: ORCID
Added: August 29, 2019

2004 journal article

A fast solver for the Ornstein-Zernike equations

JOURNAL OF COMPUTATIONAL PHYSICS, 197(2), 491–501.

By: C. Kelley n & B. Pettitt*

TL;DR: The design and analysis of a multilevel method for the solution of the Ornstein-Zernike Equations and related systems of integro-algebraic equations based on an extension of the Atkinson-Brakhage method, with Newton-GMRES used as the coarse mesh solver. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2004 conference paper

Enhancement of Numerical Computations of the {W}igner-{P}oisson Equations for Application to the Simulation of {TH}z-Frequency {RTD} Oscillators

In J. O. Jensen & J.-M. Theriault (Eds.), Proceedings of SPIE: Chemical and Biological Standoff Detection II Volume 5584, paper number 07 (pp. 42–51).

By: M. Lasater, C. Kelley, A. Salinger, D. Woolard & P. Zhao

Ed(s): J. Jensen & J. Theriault

Event: North Carolina State University, Center for Research in Scientific Computation

Source: ORCID
Added: August 29, 2019

2004 article

Implicit Filtering Revisited

By: A. Conn, C. Kelley, K. Scheinberg & L. Vicente

Source: ORCID
Added: August 29, 2019

2004 conference paper

Parallel Solution of the {Wigner-Poisson} Equations for {RTDs}

In Q. Qingping (Ed.), 2004 International Symposium on Distributed Computing and Applications to Business, Engineering and Science (pp. 672–676). Wuhan, China: Hubei Science and Technology Press.

By: M. Lasater, C. Kelley, A. Salinger, D. Woolard & P. Zhao

Ed(s): Q. Qingping

Event: at Wuhan, China

Source: ORCID
Added: August 29, 2019

2004 conference paper

Simulation of Nondifferentiable Models for Groundwater Flow and Transport

In C. T. Miller, M. W. Farthing, W. G. Gray, & G. F. Pinter (Eds.), Proceedings of Computational Methods in Water Resources XV (pp. 939–952). Amsterdam: Elsevier.

By: C. Kelley, K. Fowler & C. Kees

Ed(s): C. Miller, M. Farthing, W. Gray & G. Pinter

Event: at Amsterdam

Source: ORCID
Added: August 29, 2019

2004 journal article

Solution of a well-field design problem with implicit filtering

OPTIMIZATION AND ENGINEERING, 5(2), 207–234.

By: K. Fowler, C. Kelley n, C. Miller*, C. Kees n, R. Darwin n, J. Reese n, M. Farthing*, M. Reed*

author keywords: implicit filtering; well field design; groundwater flow and transport
TL;DR: This work solves a subset of community test problems from this application field using MODFLOW, a standard groundwater flow model, and IFFCO, an implicit filtering algorithm that was designed to solve problems similar to those of focus in this work. (via Semantic Scholar)
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation (OpenAlex)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2003 journal article

Convergence of iterative split-operator approaches for approximating nonlinear reactive transport problems

ADVANCES IN WATER RESOURCES, 26(3), 247–261.

By: J. Kanney*, C. Miller* & C. Kelley n

author keywords: reactive transport; nonlinear mass transfer; numerical solution; operator splitting; iterative split-operator; convergence rate
TL;DR: This work uses theoretical analysis and numerical experiments to investigate the convergence rate of the iterative split-operator approach for solving nonlinear reactive transport problems. (via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2003 journal article

Efficient steady-state solution techniques for variably saturated groundwater flow

ADVANCES IN WATER RESOURCES, 26(8), 833–849.

By: M. Farthing*, C. Kees n, T. Coffey*, C. Kelley n & C. Miller*

author keywords: Richards' equation; steady-state; pseudo-transient continuation
TL;DR: This work examines the use of pseudo-transient continuation as well as Newton’s method combined with standard globalization techniques for steady-state problems in heterogeneous domains, and investigates the methods’ performance with direct and preconditioned Krylov iterative linear solvers. (via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2003 article

Electronic Supplement to ``{O}ptimal Design for Problems Involving Flow and Transport Phenomena in Saturated Subsurface Systems''

By: A. Mayer, C. Kelley & C. Miller

Source: ORCID
Added: August 29, 2019

2003 journal article

Globally Convergent Algorithms for Nonsmooth Nonlinear Equations in Computational Fluid Dynamics

J. Comp. Appl. Math., 152, 69–81.

By: T. Coffey, R. McMullan, C. Kelley & D. McRae

Source: ORCID
Added: August 29, 2019

2003 article

Globally convergent algorithms for nonsmooth nonlinear equations in computational fluid dynamics

Coffey, T., McMullan, R. J., Kelley, C. T., & McRae, D. S. (2003, March 1). JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, Vol. 152, pp. 69–81.

By: T. Coffey n, R. McMullan n, C. Kelley n & D. McRae n

author keywords: pseudo-transient continuation; nonlinear equations; steady-state solutions; global convergence; splitting methods; Euler equations; MUSCL approximation
TL;DR: A nonsmooth discretization of the Euler equations for flow in a nozzle is solved with splitting method which is in turn globalized with the method of pseudo-transient continuation. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2003 report

Implicit filtering and nonlinear least squares problems

In E. W. Sachs & R. Tichatschke (Eds.), System Modeling and Optimization XX (No. CRSC-TR01-17; pp. 71–90). Dordrecht: Kluwer Academic Publishers.

By: C. Kelley

Ed(s): E. Sachs & R. Tichatschke

Event: at Dordrecht

Source: ORCID
Added: August 29, 2019

2003 conference paper

Implicit filtering and nonlinear least squares problems

In E. W. Sachs & R. Tichatschke (Eds.), System Modeling and Optimization XX (pp. 71–90). Dordrecht: Kluwer Academic Publishers.

By: C. Kelley

Ed(s): E. Sachs & R. Tichatschke

Event: at Dordrecht

Source: ORCID
Added: August 29, 2019

2003 conference paper

Numerical Tools for the Study of Instabilities within the Positive-Differential-Resistance Regions of Tunnelling Devices

Proceedings of 2003 3nd IEEE Conference on Nanotechnology, San Francisco, CA, August 12--14, 2003, (CRSC-TR03-23), 390–393. IEEE.

By: M. Lasater, C. Kelley, P. Zhao & D. Woolard

Event: North Carolina State University, Center for Research in Scientific Computation

Source: ORCID
Added: August 29, 2019

2003 article

Pseudotransient continuation and differential-algebraic equations

SIAM JOURNAL ON SCIENTIFIC COMPUTING, Vol. 25, pp. 553–569.

By: T. Coffey n, C. Kelley n & D. Keyes*

author keywords: pseudotransient continuation; nonlinear equations; steady-state solutions; global convergence; differential-algebraic equations; multirate systems
TL;DR: A global convergence result for pseudotransient continuation applied to DAEs of index 1 is presented, and it is illustrated with numerical experiments on model incompressible flow and reacting flow problems, in which a constraint is employed to step over acoustic waves. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2003 book

Solving Nonlinear Equations with Newton's Method

Philadelphia: SIAM.

By: C. Kelley

Event: at Philadelphia

Source: ORCID
Added: August 29, 2019

2003 journal article

Truncated Newton methods for optimization with inaccurate functions and gradients

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 116(1), 83–98.

By: C. Kelley n & E. Sachs*

author keywords: trust region methods; inexact Newton methods; optimal control
TL;DR: Several modifications of the Steihaug truncated Newton method are discussed that can improve performance for unconstrained minimization problems that have functions and gradients given by black box codes with error control. (via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2003 journal article

Versatile two-level Schwarz preconditioners for multiphase flow

COMPUTATIONAL GEOSCIENCES, 7(2), 91–114.

By: C. Kees n, C. Miller*, E. Jenkins* & C. Kelley n

author keywords: aggregation; domain decomposition; multilevel Schwarz; multiphase flow
TL;DR: This work studies a class of parallel preconditioners based on two-level Schwarz domain decomposition applied in a nonlinear two-phase flow numerical model based on an aggregation approach that has a straightforward implementation for a variety of applications arising in subsurface modeling. (via Semantic Scholar)
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation (OpenAlex)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2002 report

Higher Order, Locally Conservative, Temporal Integration Methods for Multiphase Flow in Porous Media

(No. CRSC-TR02-02). North Carolina State University, Center for Research in Scientific Computation.

By: C. Miller, M. Farthing, C. Kees & C. Kelley

Source: ORCID
Added: August 29, 2019

2002 conference paper

Higher Order, Locally Conservative, Temporal Integration Methods for Multiphase Flow in Porous Media

In S. M. Hassanizadeh, R. J. Schotting, W. G. Gray, & G. F. Pinder (Eds.), Computational Methods in Water Resources XIV, Vol. 1 (pp. 249–256). Amsterdam: Elsevier.

By: C. Miller, M. Farthing, C. Kees & C. Kelley

Ed(s): S. Hassanizadeh, R. Schotting, W. Gray & G. Pinder

Event: at Amsterdam

Source: ORCID
Added: August 29, 2019

2002 conference paper

Nonsmooth Nonlinearities and Temporal Integration of {R}ichards' Equation

In S. M. Hassanizadeh, R. J. Schotting, W. G. Gray, & G. F. Pinder (Eds.), Computational Methods in Water Resources XIV, Vol. 2 (pp. 947–954). Amsterdam: Elsevier.

By: K. Kavanagh, C. Kelley, R. Berger, J. Hallberg & S. Howington

Ed(s): S. Hassanizadeh, R. Schotting, W. Gray & G. Pinder

Event: at Amsterdam

Source: ORCID
Added: August 29, 2019

2002 journal article

Optimal Design for Problems Involving Flow and Transport Phenomena in Saturated Subsurface Systems

Advances in Water Resources, 12, 1233–1256.

By: A. Mayer, C. Kelley & C. Miller

Source: ORCID
Added: August 29, 2019

2002 review

Optimal design for problems involving flow and transport phenomena in saturated subsurface systems

[Review of ]. ADVANCES IN WATER RESOURCES, 25(8-12), 1233–1256.

By: A. Mayer*, C. Kelley n & C. Miller*

TL;DR: It is suggested that future directions of research include the application of direct search solution methods, and developments in stochastic and multi-objective optimization, as a means for benchmarking and comparing optimization approaches. (via Semantic Scholar)
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation (Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2002 conference paper

Parallel-Platform Based Numerical Simulation of Instabilities in Nanoscale Tunneling Devices

Proceedings of 2002 2nd IEEE Conference on Nanotechnology, Washington DC, August 26-28, 2002, 417–421. IEEE.

By: C. Kelley, D. Woolard, P. Zhao, M. Kerr & M. Lasater

Source: ORCID
Added: August 29, 2019

2002 report

Pseudo-Transient Continuation and Differential-Algebraic Equations

In SIAM J. Sci. Comp. (No. CRSC-TR02-18; Vol. 25, pp. 553–569). North Carolina State University, Center for Research in Scientific Computation.

By: T. Coffey, C. Kelley & D. Keyes

Source: ORCID
Added: August 29, 2019

2002 journal article

Solution of A Groundwater Control Problem with Implicit Filtering

Optimization and Engineering, 3, 189–199.

By: A. Battermann, J. Gablonsky, A. Patrick, C. Kelley, T. Coffey, K. Kavanagh, C. Miller

Source: ORCID
Added: August 29, 2019

2001 journal article

A locally-biased form of the DIRECT algorithm

JOURNAL OF GLOBAL OPTIMIZATION, 21(1), 27–37.

By: J. Gablonsky n & C. Kelley n

author keywords: DIRECT; locally-biased formulation; local clustering
TL;DR: A form of the DIRECT algorithm that is strongly biased toward local search is proposed that should do well for small problems with a single global minimizer and only a few local minimizers. (via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2001 journal article

Algorithms for Noisy Problems in Gas Transmission Pipeline Optimization

Optimization and Engineering, 2, 139–157.

By: R. Carter, J. Gablonsky, A. Patrick, C. Kelley & O. Eslinger

Sources: ORCID, NC State University Libraries
Added: August 29, 2019

2001 journal article

An Aggregation-based Domain Decomposition Preconditioner for Groundwater Flow

SIAM J. Sci. Comp., 23, 430–441.

By: E. Jenkins, C. Kelley, C. Miller & C. Kees

Source: ORCID
Added: August 29, 2019

2001 article

An aggregation-based domain decomposition preconditioner for groundwater flow

Jenkins, E. W., Kees, C. E., Kelley, C. T., & Miller, C. T. (2001, August 15). SIAM JOURNAL ON SCIENTIFIC COMPUTING, Vol. 23, pp. 430–441.

By: E. Jenkins*, C. Kees*, C. Kelley* & C. Miller*

author keywords: domain decomposition; Newton-Krylov-Schwarz methods; Richards' equation; nonlinear equations; aggregation
TL;DR: Computational results for Laplace's equation and Richards' equation show excellent scalability, although no theory is yet available to support the results for the difficult nonlinear problem. (via Semantic Scholar)
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2001 conference paper

Nonlinear Equations: Contraction-Mapping Principle

In C. A. Floudas & P. M. Pardalos (Eds.), Encyclopedia of Optimization (pp. two pages). Dordrecht: Kluwer.

By: C. Kelley

Ed(s): C. Floudas & P. Pardalos

Event: at Dordrecht

Source: ORCID
Added: August 29, 2019

2001 journal article

On a powder consolidation problem

SIAM J. Appl. Math., 62(1), 1–20.

By: P. Gremaud n, C. Kelley n, T. Royal & K. Coffey n

TL;DR: A numerical method based on a formulation of the semidiscretized problem as an index 1 DAE is proposed and implemented and the feasibility of the approach is illustrated by computational results. (via Semantic Scholar)
Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2001 report

Optimal Design for Problems Involving Flow and Transport Phenomena in Saturated Subsurface Systems

(No. CRSC-TR01-33). North Carolina State University, Center for Research in Scientific Computation.

By: A. Mayer, C. Kelley & C. Miller

Source: ORCID
Added: August 29, 2019

2000 conference paper

A Two-Level Aggregation-Based {Newton-Krylov-Schwarz} Method for Hydrology

In D. E. Keyes, A. Ecer, J. Periaux, & N. Satofuka (Eds.), Parallel Computational Fluid Dynamics 1999 (pp. 257–264). North Holland.

By: E. Jenkins, R. Berger, J. Hallberg, S. Howington, C. Kelley, J. Schmidt, A. Stagg, M. Tocci

Ed(s): D. Keyes, A. Ecer, J. Periaux & N. Satofuka

Source: ORCID
Added: August 29, 2019

2000 conference paper

Broyden Method

In M. Hazenwinkel (Ed.), Encyclopedia of Mathematics: Supplement II (pp. 96–98). Dordrecht: Kluwer.

By: C. Kelley

Ed(s): M. Hazenwinkel

Event: at Dordrecht

Source: ORCID
Added: August 29, 2019

2000 journal article

Mesh Independence of Matrix-Free Methods for Path Following

SIAM J. Sci. Comp., 21, 1835–1850.

By: W. Ferng & C. Kelley

Source: ORCID
Added: August 29, 2019

2000 article

Mesh independence of matrix-free methods for path following

Ferng, W. R., & Kelley, C. T. (2000, May 21). SIAM JOURNAL ON SCIENTIFIC COMPUTING, Vol. 21, pp. 1835–1850.

By: W. Ferng* & C. Kelley n

author keywords: path following; bifurcation; collective compactness; fold point; mesh independence; matrix-free method; GMRES; Arnoldi method; singularity
TL;DR: If these problems are discretized so that certain collective compactness and strong convergence properties hold, then this algorithm can follow smooth folds and capture simple bifurcations in a mesh-independent way. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2000 journal article

Optimization of Automotive Valve Train Components with Implict Filtering

Optimization and Engineering, 1, 9–28.

By: T. Choi, O. Eslinger, C. Kelley, J. David & M. Etheridge

Source: NC State University Libraries
Added: July 10, 2019

2000 journal article

Superlinear convergence and implicit filtering

SIAM JOURNAL ON OPTIMIZATION, 10(4), 1149–1162.

By: T. Choi* & C. Kelley*

author keywords: noisy optimization; implicit filtering; BFGS algorithm; superlinear convergence
TL;DR: This paper shows how the implicit filtering algorithm can be coupled with the BFGS quasi-Newton update to obtain a superlinearly convergent iteration if the noise in the objective function decays sufficiently rapidly as the optimal point is approached. (via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2000 report

Transformation Approaches for Simulating Flow in Variably Saturated Porous Media

In Water Resources Research (Vol. 36, pp. 923–934). North Carolina State University, Center for Research in Scientific Computation.

By: C. Miller, G. Williams & C. Kelley

Source: ORCID
Added: August 29, 2019

2000 journal article

Transformation approaches for simulating flow in variably saturated porous media

WATER RESOURCES RESEARCH, 36(4), 923–934.

By: G. Williams*, C. Miller & C. Kelley n

TL;DR: It is shown that transformation methods can significantly improve solution efficiency and robustness compared to standard solution approaches and optimal transformation parameters depend upon auxiliary conditions, medium properties, and spatial and temporal discretization and are difficult to evaluate a priori. (via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2000 conference paper

{Broyden-Fletcher-Goldfarb-Shanno} Method

In M. Hazenwinkel (Ed.), Encyclopedia of Mathematics: Supplement II (pp. 95–96). Dordrecht: Kluwer.

By: C. Kelley

Ed(s): M. Hazenwinkel

Event: at Dordrecht

Source: ORCID
Added: August 29, 2019

1999 conference paper

A Model to Simulate the Interaction between Groundwater and Surface Water

Proceedings of the High Performance Computing Users' Group Meeting, (CRSC-TR99-27). Monterrey, CA.

By: S. Howington, R. Berger, J. Hallberg, J. Peters, A. Stagg, E. Jenkins, C. Kelley

Event: North Carolina State University, Center for Research in Scientific Computation at Monterrey, CA

Source: ORCID
Added: August 29, 2019

1999 journal article

A fast multilevel algorithm for the solution of nonlinear systems of conductive-radiative heat transfer equations in two space dimensions

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 20(4), 1214–1228.

By: J. Banoczi & C. Kelley*

author keywords: conductive-radiative heat transfer; multilevel algorithm; compact fixed point problems
TL;DR: A fast multilevel algorithm for the solution of a system of nonlinear integro-differential equations that model steady-state combined conductive-radiative heat transfer in two space dimensions is described. (via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018

1999 journal article

A trust region method for parabolic boundary control problems

SIAM JOURNAL ON OPTIMIZATION, 9(4), 1064–1081.

By: C. Kelley n & E. Sachs

author keywords: trust region methods; inexact Newton methods; optimal control
TL;DR: An iterative scheme which is a projected form of the Steihaug trust region conjugate gradient method to ensure the good local convergence properties in the terminal phase and a smoothing step at each iteration is added. (via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018

1999 journal article

Detection and remediation of stagnation in the Nelder-Mead algorithm using a sufficient decrease condition

SIAM JOURNAL ON OPTIMIZATION, 10(1), 43–55.

By: C. Kelley n

author keywords: Nelder-Mead algorithm; sufficient decrease; stagnation
TL;DR: A test for sufficient decrease is proposed which, if passed for all iterations, will guarantee convergence of the Nelder--Mead iteration to a stationary point if the objective function is smooth and the diameters of theNelder-Mead simplices converge to zero. (via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018

1999 journal article

Estimates for the Nash-Sofer preconditioner for the reduced Hessian for some elliptic variational inequalities

SIAM JOURNAL ON OPTIMIZATION, 9(2), 327–341.

By: T. Choi* & C. Kelley*

author keywords: preconditioners; reduced Hessian; elliptic variational inequalities
TL;DR: A class of examples is presented to show how the quality of the Nash--Sofer preconditioner can be directly estimated and one consequence is that if the Hessian is the five-point discretization of a certain type of strongly elliptic operator with homogeneous Dirichlet boundary conditions on an $n \times n$ mesh, then the condition number of the reduced Hessian can be lowered. (via Semantic Scholar)
UN Sustainable Development Goal Categories
10. Reduced Inequalities (OpenAlex)
Sources: Web Of Science, ORCID
Added: August 6, 2018

1999 report

IFFCO: Implicit Filtering for Constrained Optimization, Version 2

(No. CRSC-TR99-23). North Carolina State University, Center for Research in Scientific Computation.

By: T. Choi, O. Eslinger, P. Gilmore, A. Patrick, C. Kelley & J. Gablonsky

Source: ORCID
Added: August 29, 2019

1999 book

Iterative Methods for Optimization

By: C. Kelley*

Event: at Philadelphia

TL;DR: Iterative Methods for Optimization does more than cover traditional gradient-based optimization: it is the first book to treat sampling methods, including the Hooke& Jeeves, implicit filtering, MDS, and Nelder& Mead schemes in a unified way. (via Semantic Scholar)
Sources: NC State University Libraries, ORCID
Added: August 6, 2018

1999 report

{Newton-Krylov-Schwarz} Methods for {R}ichards' Equation

(No. CRSC-TR99-32). North Carolina State University, Center for Research in Scientific Computation.

By: E. Jenkins, R. Berger, J. Hallberg, S. Howington, C. Kelley, J. Schmidt, A. Stagg, M. Tocci

Source: ORCID
Added: August 29, 2019

1998 journal article

A fast multilevel algorithm for the solution of nonlinear systems of conductive-radiative heat transfer equations

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 19(1), 266–279.

By: J. Banoczi & C. Kelley*

author keywords: conductive-radiative heat transfer; multilevel algorithm; compact fixed point problems
TL;DR: A fast multilevel algorithm for the solution of a system of nonlinear integro-differential equations that model steady-state combined conductive-radiative heat transfer and a modification of the Atkinson--Brakhage method is applied. (via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018

1998 journal article

Convergence analysis of pseudo-transient continuation

SIAM JOURNAL ON NUMERICAL ANALYSIS, 35(2), 508–523.

By: C. Kelley n & D. Keyes

author keywords: pseudo-transient continuation; nonlinear equations; steady state solutions; global convergence
TL;DR: This paper proves convergence for a generic form of Pseudo-transient continuation and illustrates it with two practical strategies. (via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018

1998 conference paper

Efficient and robust numerical modeling of variably saturated flow in layered porous media

In V. N. Burganos, G. P. Karatzas, A. C. Payatakes, C. A. Brebbia, W. G. Gray, & G. F. Pinder (Eds.), XII Conference on Computational Methods in Water Resources, Crete, Greece (Vol. 1, pp. 151–158).

By: C. Miller, G. Williams & C. Kelley

Ed(s): V. Burganos, G. Karatzas, A. Payatakes, C. Brebbia, W. Gray & G. Pinder

Source: ORCID
Added: August 29, 2019

1998 journal article

Inexact Newton methods and the method of lines for solving Richards' equation in two space dimensions

COMPUTATIONAL GEOSCIENCES, 2(4), 291–309.

By: M. Tocci*, C. Kelley n, C. Miller n & C. Kees n

author keywords: Richards' equation; method of lines; inexact Newton methods
UN Sustainable Development Goal Categories
13. Climate Action (Web of Science)
Sources: Web Of Science, ORCID
Added: August 6, 2018

1998 journal article

Local convergence of the symmetric rank-one iteration

COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 9(1), 43–63.

By: C. Kelley n & E. Sachs*

author keywords: SRI update; pointwise quasi-Newton method; optimal control
TL;DR: This work considers conditions under which the SR1 iteration is locally convergent and applies the result to a pointwise structured SR1 method that has been used in optimal control. (via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018

1998 conference paper

New Analysis of the {N}elder-{M}ead Algorithm

In D. W. Scott (Ed.), Proceedings of the 29th Symposium on the Interface (p. 407).

By: C. Kelley

Ed(s): D. Scott

Source: ORCID
Added: August 29, 2019

1998 report

Optimization of Automotive Valve Train Components with Implicit Filtering

In Optimization and Engineering (Vol. 1, pp. 9–28). North Carolina State University, Center for Research in Scientific Computation.

By: T. Choi, O. Eslinger, C. Kelley, J. David & M. Etheridge

Source: ORCID
Added: August 29, 2019

1998 journal article

Robust Solution of {R}ichards' Equation for Non-Uniform Porous Media

Water Resources Research, 34, 2599–2610.

By: C. Miller, G. Williams, C. Kelley & M. Tocci

Source: ORCID
Added: August 29, 2019

1998 journal article

Robust solution of Richards' equation for nonuniform porous media

WATER RESOURCES RESEARCH, 34(10), 2599–2610.

By: C. Miller, G. Williams*, C. Kelley n & M. Tocci n

Source: Web Of Science
Added: August 6, 2018

1998 journal article

Termination of Newton/Chord iterations and the method of lines

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 19(1), 280–290.

By: C. Kelley n, C. Miller & M. Tocci n

author keywords: termination of nonlinear iterations; Richards' equation; method of lines
TL;DR: This paper shows how an out-of-date Jacobian coupled with moderate ill conditioning can lead to premature termination of the corrector iteration and suggest ways in which this situation can be detected and remedied. (via Semantic Scholar)
UN Sustainable Development Goal Categories
13. Climate Action (Web of Science)
Sources: Web Of Science, ORCID
Added: August 6, 2018

1998 conference paper

The Simplex Gradient and Noisy Optimization Problems

In J. T. Borggaard, J. Burns, E. Cliff, & S. Schreck (Eds.), Computational Methods in Optimal Design and Control (Vol. 24, pp. 77–90). Birkh{ä}user, Boston.

By: D. Bortz & C. Kelley

Ed(s): J. Borggaard, J. Burns, E. Cliff & S. Schreck

Source: ORCID
Added: August 29, 2019

1997 journal article

Accurate and economical solution of the pressure-head form of Richards' equation by the method of lines

ADVANCES IN WATER RESOURCES, 20(1), 1–14.

By: M. Tocci n, C. Kelley n & C. Miller*

TL;DR: It is shown how a differential algebrain equation implementation of the method of lines can give solutions to RE that are accurate, have good mass balance properties, explicitly control temporal truncation error, and are more economical than standard approaches for a wide range of solution accuracy. (via Semantic Scholar)
UN Sustainable Development Goal Categories
13. Climate Action (Web of Science)
Sources: Web Of Science, ORCID
Added: August 6, 2018

1997 report

Optimal Design of High Speed Mechanical Systems

(No. CRSC-TR97-18). North Carolina State University, Center for Research in Scientific Computation.

By: J. David, C. Cheng, T. Choi, C. Kelley & J. Gablonsky

Source: ORCID
Added: August 29, 2019

1996 conference paper

Consistent Initial Conditions for Unstructured Higher Index {DAE}s: A Computational Study

Proceedings of Conference on Computational Engineering in Systems Applications (CESA'96), Lille, France, 416–421.

By: S. Campbell, C. Kelley & K. Yeomans

Source: ORCID
Added: August 29, 2019

1996 journal article

Convergence Estimates for Solution of Integral Equations with GMRES

Journal of Integral Equations and Applications, 8(1), 19–34.

By: S. Campbell*, I. Ipsen, C. Kelley*, C. Meyer & Z. Xue

Contributors: S. Campbell*, I. Ipsen, C. Kelley*, C. Meyer & Z. Xue

Sources: Crossref, ORCID, NC State University Libraries
Added: July 20, 2019

1996 journal article

Existence and uniqueness of solutions of nonlinear systems of conductive-radiative heat transfer equations

Transport Theory and Statistical Physics, 25(2), 249–260.

By: C. Kelley n

Sources: Crossref, ORCID
Added: July 20, 2019

1996 journal article

GMRES and Integral Operators

SIAM Journal on Scientific Computing, 17(1), 217–226.

By: C. Kelley* & Z. Xue n

author keywords: integral equations; GMRES iteration; Broyden's method
TL;DR: This paper shows how the properties of integral operators and their approximations are reflected in the performance of the GM RES iteration and how these properties can be used to smooth the GMRES iterates by an implicit application of Nystrom interpolation, thereby strengthening the norm in which convergence takes place. (via Semantic Scholar)
Sources: Crossref, ORCID
Added: July 20, 2019

1996 journal article

GMRES and the minimal polynomial

BIT Numerical Mathematics, 36(4), 664–675.

By: S. Campbell n, I. Ipsen n, C. Kelley n & C. Meyer n

author keywords: GMRES; superlinear convergence; minimal polynomial; eigenvalue index
TL;DR: A qualitative model for the convergence behaviour of the Generalised Minimal Residual (GMRES) method for solving nonsingular systems of linear equationsAx =b in finite and infinite dimensional spaces and bounds are provided that explain the convergence of GMRES. (via Semantic Scholar)
Sources: Crossref, Web Of Science, NC State University Libraries, ORCID
Added: July 20, 2019

1996 article

Use of an Implicit Filtering Algorithm for Mechanical System Parameter Identification

1996 SAE International Congress and Exposition Conference Proceedings, Modeling of CI and SI Engines, pp. 189–194. Washington, D. C.: Society of Automotive Engineers.

By: J. David, C. Kelley & C. Cheng

Event: at Washington, D. C.

Source: ORCID
Added: August 29, 2019

1995 journal article

A Fast Multilevel Algorithm for Integral Equations

SIAM Journal on Numerical Analysis, 32(2), 501–513.

By: C. Kelley n

author keywords: INTEGRAL EQUATIONS; MULTILEVEL METHODS; ATKINSON-BRAKHAGE ITERATION; COMPOSITE GAUSS RULE
TL;DR: From this norm convergent formulation a two-level approximate inverse can be constructed whose evaluation requires no fine mesh evaluations of the integral operator, and the resulting multilevel algorithm is roughly half as costly as the Atkinson–Brakhage iteration. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Crossref, ORCID
Added: July 20, 2019

1995 journal article

An Implicit Filtering Algorithm for Optimization of Functions with Many Local Minima

SIAM Journal on Optimization, 5(2), 269–285.

By: P. Gilmore & C. Kelley*

author keywords: FILTERING; PROJECTED GRADIENT ALGORITHM; QUASI-NEWTON METHOD
TL;DR: An algorithm for certain box constrained optimization problems that may have several local minima that is gradient based and therefore the performance can be improved by use of quasi-Newton methods. (via Semantic Scholar)
Sources: Crossref, ORCID
Added: July 20, 2019

1995 conference paper

Implicit Filtering and Optimal Design Problems: Proceedings of the Workshop on Optimal Design and Control, {B}lacksburg {VA}, {A}pril 8--9, 1994

In J. Borggaard, J. Burkhardt, M. Gunzburger, & J. Peterson (Eds.), Optimal Design and Control (Vol. 19, pp. 159–176). Birkh{ä}user, Boston.

By: P. Gilmore, C. Kelley, C. Miller & G. Williams

Ed(s): J. Borggaard, J. Burkhardt, M. Gunzburger & J. Peterson

Source: ORCID
Added: August 29, 2019

1995 journal article

Inexact primal-dual interior point iteration for linear programs in function spaces

Computational Optimization and Applications, 4(3), 189–201.

By: S. Ito*, C. Kelley n & E. Sachs*

TL;DR: It is shown how the control problem can be formulated as a linear program in an infinite dimensional space in two different ways and proved convergence results. (via Semantic Scholar)
Sources: Crossref, ORCID
Added: July 27, 2019

1995 book

Iterative Methods for Linear and Nonlinear Equations

Philadelphia: SIAM.

By: C. Kelley

Event: at Philadelphia

Source: ORCID
Added: August 29, 2019

1995 journal article

Multilevel source iteration accelerators for the linear transport equation in slab geometry

Transport Theory and Statistical Physics, 24(4-5), 679–707.

By: C. Kelley n

TL;DR: The implementation of these ideas, based on use of GMRES iteration to solve the coarse mesh problems, gives the solution to an accuracy of fine mesh truncation error at a cost proportional to that of an evaluation of the fine mesh source iteration map. (via Semantic Scholar)
Sources: Crossref, ORCID
Added: July 20, 2019

1995 journal article

Solution of Optimal Control Problems by a Pointwise Projected Newton Method

SIAM Journal on Control and Optimization, 33(6), 1731–1757.

By: C. Kelley* & E. Sachs

author keywords: PROJECTED NEWTON ITERATION; OPTIMAL CONTROL
Sources: Crossref, ORCID
Added: July 20, 2019

1994 conference paper

A comparison of strongly convergent solution schemes for sharp front infiltration problems

In A. Peters, G. Wittum, B. Herrling, U. Meissner, C. A. Brebbia, W. G. Gray, & G. F. Pinder (Eds.), Computational Methods in Water Resources X, Vol. 1 (pp. 325–332). Kluwer Academic Publishers.

By: C. Miller & C. Kelley

Ed(s): A. Peters, G. Wittum, B. Herrling, U. Meissner, C. Brebbia, W. Gray, G. Pinder

Source: ORCID
Added: August 29, 2019

1994 conference paper

Identification of the Support of Nonsmoothness

In W. W. Hager, D. W. Hearn, & P. M. Pardalos (Eds.), Large Scale Optimization: State of the Art (pp. 192–205). Boston: Kluwer Academic Publishers B.V.

By: C. Kelley

Ed(s): W. Hager, D. Hearn & P. Pardalos

Event: at Boston

Source: ORCID
Added: August 29, 2019

1994 journal article

Multilevel Algorithms for Constrained Compact Fixed Point Problems

SIAM Journal on Scientific Computing, 15(3), 645–667.

By: C. Kelley* & E. Sachs

author keywords: PROJECTED NEWTON METHOD; CONSTRAINT IDENTIFICATION; COLLECTIVE COMPACTNESS; PARABOLIC OPTIMAL CONTROL PROBLEMS
TL;DR: The multilevel algorithm of Atkinson and Brakhage for compact fixed point problems and the projected Newton method of Bertsekas are extended to create a fast multileVEL algorithm for parabolic boundary control problems having bound constraints on the control. (via Semantic Scholar)
Sources: Crossref, ORCID
Added: July 27, 2019

1994 conference paper

Preconditioning Via Asymptotically-defined Domain Decomposition

In D. Keyes & J. Xu (Eds.), Proceedings of the Seventh International Conference on Domain Decomposition Methods in Science and Engineering (Vol. 180, pp. 139–150). Providence: AMS.

By: S. Ashby, C. Kelley, P. Saylor & J. Scroggs

Ed(s): D. Keyes & J. Xu

Event: at Providence

Source: ORCID
Added: August 29, 2019

1993 conference paper

A Non-Quasi-Static Modular Model for {HBT}s

Proceedings IEEE/Cornell Conference on Advanced Concepts in High Speed Devices and Circuits, 440–447.

By: A. Morris, R. Trew, C. Kelley & G. Hayes

Event: IEEE

Source: ORCID
Added: August 29, 2019

1993 journal article

A fast multi-level method for the fixed point form of matrix H-equations

Transport Theory and Statistical Physics, 22(4), 533–547.

By: C. Kelley n & J. Northrup*

TL;DR: The fixed point formulation of the Chandrasekhar H-equation is reconsidered and a conditioning issue associated with the matrix is resolved, allowing use of Nystroem interpolation and thereby a more efficient multi-level method. (via Semantic Scholar)
Sources: Crossref, ORCID
Added: July 27, 2019

1993 journal article

Asymptotically Exact Boundary Conditions for the PN Equations

Nuclear Science and Engineering, 114(1), 12–19.

By: B. Ganapol*, C. Kelley n & G. Pomraning*

Source: Crossref
Added: July 27, 2019

1993 journal article

Asymptotically Exact Boundary Conditions for the {P-N} Equations

Nuclear Science and Engineering, 114, 12–19.

By: B. Ganapol, C. Kelley & G. Pomraning

Source: ORCID
Added: August 29, 2019

1993 journal article

Convergence analysis for the harmonic balance method

Nonlinear Analysis: Theory, Methods & Applications, 20(4), 365–380.

By: C. Kelley n & L. Mukundan n

author keywords: HARMONIC BALANCE METHOD; KANTOROVICH THEOREM; INTEGRAL EQUATIONS; MULTILEVEL ALGORITHMS
Sources: Crossref, ORCID
Added: July 27, 2019

1993 journal article

Inexact Newton Methods for singular problems

Optimization Methods and Software, 2(3-4), 249–267.

By: C. Kelley n & Z. Xue n

Sources: Crossref, ORCID
Added: July 27, 2019

1993 journal article

Pointwise Broyden Methods

SIAM Journal on Optimization, 3(2), 423–441.

By: C. Kelley* & E. Sachs

author keywords: pointwise quasi-Newton method; superlinear convergence
TL;DR: A new superlinearly convergent method is introduced for elliptic boundary value problems and the new theory allows for a direct extension of a pointwise method for integral equations. (via Semantic Scholar)
Sources: Crossref, ORCID
Added: July 27, 2019

1992 journal article

Adaptive Integral Equation Methods in Transport Theory

Nuclear Science and Engineering, 112(4), 361–368.

By: C. Kelley n

Sources: Crossref, ORCID
Added: July 27, 2019

1992 journal article

Convergence of Broyden’s Method in Banach Spaces

SIAM Journal on Optimization, 2(3), 505–532.

By: D. Hwang & C. Kelley*

author keywords: Broyden's method; q-superlinear convergence; quasi-Newton update; Banach space
TL;DR: New convergence theorems for convergence of Broyden’s method when applied to nonlinear equations in Banach spaces are proved and the norms in which q-superlinear convergence takes place are determined by the smoothing properties of the error in the Frechet derivative approximation. (via Semantic Scholar)
Sources: Crossref, ORCID
Added: July 28, 2019

1992 chapter

Fast Algorithms for Compact Fixed Point Problems

In P. Gritzmann, R. Hettich, R. Horst, & E. Sachs (Eds.), Operations Research '91 (pp. 106–109). Heidelberg: Physica-Verlag.

By: C. Kelley

Ed(s): P. Gritzmann, R. Hettich, R. Horst & E. Sachs

Event: at Heidelberg

Source: ORCID
Added: August 29, 2019

1992 journal article

Fast Algorithms for Nonsmooth Compact Fixed-Point Problems

SIAM Journal on Numerical Analysis, 29(6), 1769–1792.

By: M. Heinkenschloss, C. Kelley* & H. Tran*

author keywords: COMBAT MODELING; COMPETITIVE SYSTEMS; INTEGRAL EQUATIONS; NONDIFFERENTIABLE NONLINEAR EQUATIONS; MULTILEVEL ALGORITHMS
TL;DR: The solution of an optimality system that arises in control of competitive systems is considered and the critical structural hypothesis in the general theory is explicitly verified in the context of problems that can be expressed as integral equations with certain types of nonsmoothness. (via Semantic Scholar)
Sources: Crossref, NC State University Libraries, ORCID
Added: July 27, 2019

1992 journal article

Mesh Independence of the Gradient Projection Method for Optimal Control Problems

SIAM Journal on Control and Optimization, 30(2), 477–493.

By: C. Kelley* & E. Sachs

author keywords: GRADIENT PROJECTION METHOD; FINITE IDENTIFICATION OF ACTIVE INDEXES; MESH INDEPENDENCE; OPTIMAL CONTROL PROBLEMS
TL;DR: This paper shows that if a different termination criterion is imposed, then the number of necessary steps for termination is indeed mesh-independent and the result analogous to the finite-dimensional result is valid in this situation if identification of active indices is understood in the correct light. (via Semantic Scholar)
Sources: Crossref, ORCID
Added: July 28, 2019

1992 journal article

Yield optimization using a GaAs process simulator coupled to a physical device model

IEEE Transactions on Microwave Theory and Techniques, 40(7), 1353–1363.

By: D. Stoneking*, G. Bilbro n, P. Gilmore n, R. Trew n & C. Kelley n

UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: Crossref, ORCID
Added: July 28, 2019

1991 journal article

A New Proof of Superlinear Convergence for Broyden’s Method in Hilbert Space

SIAM Journal on Optimization, 1(1), 146–150.

By: C. Kelley* & E. Sachs

author keywords: Broyden's method; superlinear convergence; collective compactness
TL;DR: A new and much simpler proof of the Broyden iterates converge locally superlinearly to a root theorem is given based on the concept of collective compactness. (via Semantic Scholar)
Sources: Crossref, ORCID
Added: July 28, 2019

1991 conference paper

A Study of Electron Transit-Time in Ballistic Diodes Using a Multi-Valley Hydrodynamic Transport Model

Proceedings IEEE/Cornell Conference on Advanced Concepts in High Speed Devices and Circuits, 131–140.

By: D. Woolard, R. Trew, M. Littlejohn & C. Kelley

Event: IEEE

Source: ORCID
Added: August 29, 2019

1991 conference paper

Doping Profiles For Optimum Class {B} Performance of {GaAs} MESFET Amplifiers

Proceedings IEEE/Cornell Conference on Advanced Concepts in High Speed Devices and Circuits, 188–197.

By: T. Winslow, R. Trew, P. Gilmore & C. Kelley

Event: IEEE

Source: ORCID
Added: August 29, 2019

1991 journal article

Fast Algorithms for Compact Fixed Point Problems with Inexact Function Evaluations

SIAM Journal on Scientific and Statistical Computing, 12(4), 725–742.

By: C. Kelley* & E. Sachs

author keywords: COLLECTIVE COMPACTNESS; PARABOLIC CONTROL PROBLEMS; METHOD OF LINES; QUASI-NEWTON METHODS
TL;DR: This paper shows how a multilevel technique of Atkinson can be modified to attack parabolic boundary control problems, discusses how quasi-Newton methods can improve performance, and shows how this approach can be applied to parabolic boundaries control problems. (via Semantic Scholar)
Sources: Crossref, ORCID
Added: July 28, 2019

1991 journal article

Mesh Independence of Newton-like Methods for Infinite Dimensional Problems

Journal of Integral Equations and Applications, 3(4), 549–573.

By: C. Kelley* & E. Sachs

Sources: Crossref, ORCID
Added: July 28, 2019

1991 journal article

Observations on Computational Mathematics in {J}apan

ONRFE Scientific Information Bulletin, 16, 49–54.

By: D. Kahaner & C. Kelley

Source: ORCID
Added: August 29, 2019

1991 journal article

Pointwise quasi-Newton method for unconstrained optimal control problems, II

Journal of Optimization Theory and Applications, 71(3), 535–547.

By: C. Kelley n, E. Sachs* & B. Watson*

author keywords: QUASI-NEWTON METHODS; OPTIMAL CONTROL
Sources: Crossref, ORCID
Added: July 28, 2019

1991 journal article

Sequential quadratic programming for certain parameter identification problems

Mathematical Programming, 51(1-3), 281–305.

By: C. Kelley n & S. Wright*

author keywords: SEQUENTIAL QUADRATIC PROGRAMMING; PARAMETER IDENTIFICATION
TL;DR: It is shown how the discretization can be constructed so as to preserve the convergence behavior of the iterates for the infinite dimensional problem in the finite dimensional approximations. (via Semantic Scholar)
Sources: Crossref, ORCID
Added: July 28, 2019

1991 conference paper

Simulated Performance Optimization of {GaAs} {MESFET} Amplifiers

Proceedings IEEE/Cornell Conference on Advanced Concepts in High Speed Devices and Circuits, 393–402.

By: T. Winslow, R. Trew, P. Gilmore & C. Kelley

Event: IEEE

Source: ORCID
Added: August 29, 2019

1991 conference paper

Yield Optimization Using a {GaAs} Process Simulator Coupled to a Physical Device Model

Proceedings IEEE/Cornell Conference on Advanced Concepts in High Speed Devices and Circuits, 374–383.

By: D. Stoneking, G. Bilbro, R. Trew, P. Gilmore & C. Kelley

Event: IEEE

Source: ORCID
Added: August 29, 2019

1990 journal article

Approximate quasi-Newton methods

Mathematical Programming, 48(1-3), 41–70.

By: C. Kelley n & E. Sachs*

TL;DR: Methods in which the approximation is refined at each iterate are studied, showing how the local convergence behavior of the quasi-Newton method in the infinite dimensional setting is affected by the refinement strategy. (via Semantic Scholar)
Sources: Crossref, ORCID
Added: July 28, 2019

1990 chapter

Operator prolongation methods for nonlinear equations

In E. L. Allgower & K. Georg (Eds.), Computational Solution of Nonlinear Systems of Equations (Vol. 26, pp. 359–388). Providence, RI: American Mathematical Society.

By: C. Kelley

Ed(s): E. Allgower & K. Georg

Event: American Mathematical Society at Providence, RI

Source: ORCID
Added: August 29, 2019

1990 journal article

Solution of the time discretized Stefan problem by Newton's method

Nonlinear Analysis: Theory, Methods & Applications, 14(10), 851–872.

By: C. Kelley n & J. Rulla n

Sources: Crossref, ORCID
Added: July 28, 2019

1989 journal article

A fast two-grid method for matrix H-equations

Transport Theory and Statistical Physics, 18(2), 185–203.

By: C. Kelley n

Sources: Crossref, ORCID
Added: July 28, 2019

1989 journal article

A pointwise quasi-Newton method for unconstrained optimal control problems

Numerische Mathematik, 55(2), 159–176.

By: C. Kelley n & E. Sachs*

Sources: Crossref, ORCID
Added: July 28, 2019

1989 journal article

Hydrodynamic Hot Electron Transport Simulation based on the {M}onte {C}arlo Method

Solid-State Electronics, 32, 1347–1351.

By: D. Woolard, J. Pelourad, R. Trew, M. Littlejohn & C. Kelley

Source: ORCID
Added: August 29, 2019

1989 journal article

Hydrodynamic hot-electron transport simulation based on the Monte Carlo method

Solid-State Electronics, 32(12), 1347–1351.

By: D. Woolard n, J. Pelouard n, R. Trew n, M. Littlejohn n & C. Kelley n

UN Sustainable Development Goal Categories
Source: Crossref
Added: July 28, 2019

1989 conference paper

Sequential quadratic programming for parameter identification problems

In A. E. Jai & M. Amouroux (Eds.), Proceedings of the {IFAC} Symposium on Control of Distributed Parameter Systems (pp. 105–109).

By: D. Hwang & C. Kelley

Ed(s): A. Jai & M. Amouroux

Event: International Federation of Automatic Control

Source: ORCID
Added: August 29, 2019

1988 journal article

A Pointwise Quasi-Newton Method for Integral Equations

SIAM Journal on Numerical Analysis, 25(5), 1138–1155.

By: C. Kelley n & J. Northrup n

Sources: Crossref, ORCID
Added: July 28, 2019

1988 journal article

Development and Validation of a Method for Approximating Road Surface Texture‐Induced Contact Pressure in Tire‐Pavement Interaction

Tire Science and Technology, 16(1), 2–17.

By: T. Clapp n, A. Eberhardt n & C. Kelley n

UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities (OpenAlex)
Source: Crossref
Added: July 28, 2019

1988 journal article

Development and validation of a method for approximation of road surface texture-induced contact pressure in tire/pavement interaction

Tire Science and Technology, 16, 2–17.

By: T. Clapp, C. Kelley & A. Eberhardt

Source: ORCID
Added: August 29, 2019

1988 journal article

The FN method in slab geometries with a polynomial basis

Transport Theory and Statistical Physics, 17(2-3), 295–303.

By: C. Kelley n

Sources: Crossref, NC State University Libraries
Added: July 28, 2019

1988 journal article

The {F_N} method in finite slabs with a polynomial basis

Trans. Th. Stat. Phys., 17, 295–303.

By: C. Kelley

Source: ORCID
Added: August 29, 2019

1987 journal article

A Quasi-Newton Method for Elliptic Boundary Value Problems

SIAM Journal on Numerical Analysis, 24(3), 516–531.

By: C. Kelley* & E. Sachs

Sources: Crossref, ORCID
Added: July 28, 2019

1987 conference paper

Algorithm Design on Microcomputers: Iterative Methods for Problems with Singular {J}acobian

In A. Wouk (Ed.), New Computing Environments: Microcomputers in Large-Scale Computing (pp. 13–25). Philadelphia: SIAM.

By: C. Kelley

Ed(s): A. Wouk

Event: at Philadelphia

Source: ORCID
Added: August 29, 2019

1987 conference paper

Applications of Quasi-{N}ewton Methods to Pseudoparabolic Control Problems

Optimal Control of Partial Differential Equations II - Theory and Applications, May, 1986. Presented at the Basel. Basel: Birkhäuser.

By: C. Kelley & E. Sachs

Event: at Basel

Source: ORCID
Added: August 29, 2019

1987 conference paper

Pointwise quasi-{N}ewton methods and some applications

In F. Kappel, K. Kunisch, & W. Schappacher (Eds.), Distributed Parameter Systems (pp. 167–180). New York: Springer-Verlag.

By: C. Kelley & J. Northrup

Ed(s): F. Kappel, K. Kunisch & W. Schappacher

Event: at New York

Source: ORCID
Added: August 29, 2019

1987 journal article

Quasi-Newton Methods and Unconstrained Optimal Control Problems

SIAM Journal on Control and Optimization, 25(6), 1503–1516.

By: C. Kelley n & E. Sachs

Sources: Crossref, ORCID
Added: July 28, 2019

1986 journal article

A Shamanskii-like acceleration scheme for nonlinear equations at singular roots

Mathematics of Computation, 47(176), 609–623.

By: C. Kelley

Sources: ORCID, NC State University Libraries
Added: August 29, 2019

1986 journal article

Convergence of the FN - method for multi-group transport

Transport Theory and Statistical Physics, 15(6-7), 821–828.

By: C. Kelley n

Source: Crossref
Added: July 28, 2019

1986 journal article

Convergence of the {F_N} method for multi-group transport

Trans. Th. Stat. Phys., 15, 821–828.

By: C. Kelley

Source: ORCID
Added: August 29, 2019

1986 journal article

Vector algorithms for H-equations arising in radiative transfer through inhomogeneous media

Transport Theory and Statistical Physics, 15(1-2), 33–48.

By: S. Hollis n & C. Kelley n

TL;DR: Algorithms for vector computers, in particular the CDC Cyber 205, that make it practical to solve exit distribution problem for one speed isotropic radiative transfer in an inhomogeneous slab in terms of an analog of the Chandrasekhar H-Function are given. (via Semantic Scholar)
Sources: Crossref, ORCID
Added: July 28, 2019

1985 conference paper

Analytical determination of normal contact stresses for arbitrary geometries with application to the tire/pavement interaction mechanism

In T. D. Gillespie & M. Sayers (Eds.), Measuring Road Roughness and its Effects on User Cost and Comfort (pp. 162–178). Baltimore.

By: T. Clapp, C. Kelley & A. Eberhardt

Ed(s): T. Gillespie & M. Sayers

Event: American Society for Testing and Materials at Baltimore

Source: ORCID
Added: August 29, 2019

1985 journal article

Broyden's method for approximate solution of nonlinear integral equations

Journal of Integral Equations, 9(1), 25–44.

By: C. Kelley & E. Sachs

Sources: ORCID, NC State University Libraries
Added: August 29, 2019

1985 journal article

Broyden’s Method for a Class of Problems Having Singular Jacobian at the Root

SIAM Journal on Numerical Analysis, 22(3), 566–574.

By: D. Decker & C. Kelley*

Sources: Crossref, ORCID
Added: July 28, 2019

1985 journal article

Expanded Convergence Domains for Newton’s Method at Nearly Singular Roots

SIAM Journal on Scientific and Statistical Computing, 6(4), 951–966.

By: D. Decker & C. Kelley*

Sources: Crossref, ORCID
Added: July 28, 2019

1985 journal article

Why does the -method work?

Transport Theory and Statistical Physics, 14, 513–526.

By: C. Kelley & T. Mullikin

Source: NC State University Libraries
Added: July 10, 2019

1985 journal article

Why does the {F_N}-Method work?

Trans. Th. Stat. Phys., 14, 513–526.

By: C. Kelley & T. Mullikin

Source: ORCID
Added: August 29, 2019

1984 journal article

Applications of the method to transport calculations, Trans

Transport Theory and Statistical Physics, 13, 85–96.

By: C. Kelley

Source: NC State University Libraries
Added: October 7, 2019

1984 journal article

Applications of the {F_N} method to transport calculations

Trans. Th. Stat. Phys., 13, 85–96.

By: C. Kelley

Source: ORCID
Added: August 29, 2019

1983 journal article

A New Acceleration Method for Newton’s Method at Singular Points

SIAM Journal on Numerical Analysis, 20(5), 1001–1009.

By: C. Kelley* & R. Suresh

Sources: Crossref, ORCID
Added: July 28, 2019

1983 journal article

Convergence Rates for Newton’s Method at Singular Points

SIAM Journal on Numerical Analysis, 20(2), 296–314.

By: D. Decker n, H. Keller n & C. Kelley n

Sources: Crossref, ORCID
Added: July 28, 2019

1983 journal article

Convergence of the method for exponential atmospheres

Transport Theory and Statistical Physics, 12, 183–194.

By: C. Kelley

Source: NC State University Libraries
Added: October 7, 2019

1983 journal article

Convergence of the {F_N} method for exponential atmospheres

Trans. Th. Stat. Phys., 12, 183–194.

By: C. Kelley

Source: ORCID
Added: August 29, 2019

1983 journal article

Energy dependent radiative transfer in inhomogeneous slabs

Journal of Integral Equations, 5, 33–48.

By: C. Kelley

Sources: ORCID, NC State University Libraries
Added: August 29, 2019

1983 journal article

Sublinear convergence of the Chord method at singular points

Numerische Mathematik, 42(2), 147–154.

By: D. Decker & C. Kelley*

Sources: Crossref, ORCID
Added: July 28, 2019

1982 journal article

Approximate methods for the solution of the Chandrasekhar H‐equation

Journal of Mathematical Physics, 23(11), 2097–2100.

By: C. Kelley n

Sources: Crossref, ORCID
Added: July 28, 2019

1982 journal article

Approximation of solutions to some quadratic integral equations in transport theory

Journal of Integral Equations, 4, 221–237.

By: C. Kelley

Sources: ORCID, NC State University Libraries
Added: August 29, 2019

1982 journal article

Collocation methods for some singular integral equations in linear transport theory

Journal of Integral Equations, 4, 77–88.

By: C. Kelley & T. Mullikin

Sources: ORCID, NC State University Libraries
Added: August 29, 2019

1982 journal article

Convergence Acceleration for Newton’s Method at Singular Points

SIAM Journal on Numerical Analysis, 19(1), 219–229.

By: D. Decker & C. Kelley*

Sources: Crossref, ORCID
Added: July 28, 2019

1981 journal article

A note on the approximation of functions of several variables by sums of functions of one variable

Journal of Approximation Theory, 33(3), 179–189.

By: C. Kelley n

Sources: Crossref, ORCID
Added: July 28, 2019

1981 journal article

An analytical expression for the H matrix relevant to Rayleigh scattering

Journal of Mathematical Analysis and Applications, 84(2), 509–518.

By: C. Siewert n, C. Kelley n & R. Garcia n

Sources: Crossref, ORCID
Added: July 28, 2019

1981 journal article

Approximate methods for exit distribution problems in inhomogeneous slabs

Progress in Nuclear Energy, 8(2-3), 227–234.

By: C. Kelley n

Sources: Crossref, ORCID
Added: July 28, 2019

1981 journal article

Multi-group neutron transport in inhomogeneous slabs

Journal of Integral Equations, 3, 261–275.

By: C. Kelley

Sources: NC State University Libraries, ORCID
Added: July 10, 2019

1980 journal article

A comparison of iteration schemes for Chandrasekhar H‐equations in multigroup neutron transport

Journal of Mathematical Physics, 21(2), 408–409.

By: C. Kelley n

Sources: Crossref, ORCID
Added: August 29, 2019

1980 journal article

An analytical solution to a matrix Riemann-Hilbert problem

Zeitschrift Für Angewandte Mathematik Und Physik ZAMP, 31(3), 344–351.

By: C. Siewert n & C. Kelley n

Sources: Crossref, ORCID
Added: August 29, 2019

1980 journal article

Newton's method at singular points {II}

SIAM J. Numer. Anal., 17, 465–471.

By: D. Decker & C. Kelley

Source: ORCID
Added: August 29, 2019

1980 journal article

Newton's method at singular points {I}

SIAM J. Numer. Anal., 17, 66–70.

By: D. Decker & C. Kelley

Source: ORCID
Added: August 29, 2019

1980 journal article

Newton’s Method at Singular Points. I

SIAM Journal on Numerical Analysis, 17(1), 66–70.

By: D. Decker & C. Kelley*

Source: Crossref
Added: August 30, 2019

1980 journal article

Newton’s Method at Singular Points. II

SIAM Journal on Numerical Analysis, 17(3), 465–471.

By: D. Decker & C. Kelley*

Source: Crossref
Added: August 30, 2019

1980 journal article

Solution of the Chandrasekhar H‐equation by Newton’s Method

Journal of Mathematical Physics, 21(7), 1625–1628.

By: C. Kelley n

Sources: Crossref, ORCID
Added: August 29, 2019

1980 journal article

The Chandrasekhar H-equation for radiative transfer through inhomogeneous media

Journal of Integral Equations, 2, 155–170.

By: C. Kelley

Sources: ORCID, NC State University Libraries
Added: August 29, 2019

1979 journal article

A variational equivalent to diagonal scaling

Journal of Mathematical Analysis and Applications, 72(1), 291–304.

By: M. Berger* & C. Kelley*

Sources: Crossref, ORCID
Added: August 29, 2019

1979 journal article

Operator-valued Chandrasekhar H-functions

Journal of Mathematical Analysis and Applications, 70, 579–588.

By: C. Kelley

Sources: ORCID, NC State University Libraries
Added: August 29, 2019

1979 journal article

Solution of H-Equations by Iteration

SIAM Journal on Mathematical Analysis, 10(4), 844–849.

By: C. Kelley*

Sources: Crossref, ORCID
Added: August 29, 2019

1978 journal article

Analytic continuation of an operator‐valued H‐function with applications to neutron transport theory

Journal of Mathematical Physics, 19(2), 494–499.

By: C. Kelley*

Sources: Crossref, ORCID
Added: August 29, 2019

1978 journal article

Solution by iteration of H‐equations in multigroup neutron transport

Journal of Mathematical Physics, 19(2), 500–501.

By: C. Kelley* & T. Mullikin*

Sources: Crossref, ORCID
Added: August 29, 2019

1977 journal article

Convolution and H‐equations for operator‐valued functions with applications to neutron transport theory

Journal of Mathematical Physics, 18(4), 764–769.

By: C. Kelley*

UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: Crossref, ORCID
Added: August 29, 2019

Employment

Updated: September 7th, 2021 11:29

2021 - present

NC State University Raleigh, NC, US
Drexel Professor (Retired); Named Professor Emeritus Mathematics

1978 - 2021

North Carolina State University Raleigh, NC, US
Drexel Professor Mathematics

Education

Updated: August 13th, 2023 08:11

1973 - 1976

Purdue University West Lafayette, IN, US
PhD Mathematics

1969 - 1973

Vanderbilt University Nashville, TN, US
BS Mathematics

1957 - 1969

Western Kentucky University Bowling Green, Kentucky, US
High School Diploma Teacher Training School, Grades 1 - 12

Funding History

Funding history based on the linked ORCID record. Updated: July 22nd, 2021 14:08

grant August 15, 2019 - July 31, 2022
Anderson Accleration
Directorate for Mathematical & Physical Sciences
grant August 15, 2018 - July 31, 2023
RTG: Randomized Numerical Analysis
Directorate for Mathematical & Physical Sciences
grant September 1, 2017 - August 31, 2021
NSCI SI2-SSE: Multiscale Software for Quantum Simulations of Nanostructured Materials and Devices
Directorate for Computer & Information Science & Engineering
grant August 1, 2016 - August 1, 2019
Inverse Bathymetry Problems
Army Research Office
grant May 1, 2016 - April 30, 2018
Petaflops simulation and design of nanoscale materials and devices
National Science Foundation - Directorate for Computer & Information Science & Engineering
grant June 15, 2014 - May 31, 2017
Iterative Methods for Nonlinear Equations and Optimization
National Science Foundation - Directorate for Mathematical & Physical Sciences
grant September 1, 2013 - August 31, 2017
SI2-SSE: Multiscale Software for Quantum Simulations in Materials Design, Nano Science and Technology
National Science Foundation - Directorate for Computer & Information Science & Engineering
grant September 1, 2011 - September 1, 2014
Fast Algorithms for Model Calibration and Solvers in Ground and Surface Water Simulators
Army Research Office
grant December 1, 2009 - September 30, 2015
Collaborative Research: CDI-Type II--Revolutionary Advances in Modeling Transport Phenomena in Porous Medium Systems
National Science Foundation - Directorate for Geosciences
grant August 1, 2007 - July 31, 2011
Iterative Methods for Nonlinear Equations and Optimization
National Science Foundation - Directorate for Mathematical & Physical Sciences
grant January 1, 2007 - September 1, 2013
Simulation of Devices with Molecular Potentials
Army Research Office
grant August 15, 2004 - May 31, 2008
Iterative Methods for Nonlinear Equations
National Science Foundation - Directorate for Mathematical & Physical Sciences
grant August 15, 2002 - July 31, 2005
Scientific Computing Research Environments for the Mathematical Sciences (SCREMS)
National Science Foundation - Directorate for Mathematical & Physical Sciences
grant October 1, 2001 - September 30, 2005
ITR/AP: Collaborative Research: Sampling Methods for Optimization and Control of Subsurface Contamination
National Science Foundation - Directorate for Mathematical & Physical Sciences
grant August 1, 2000 - January 31, 2005
Nonlinear Equations and Optimization
National Science Foundation - Directorate for Mathematical & Physical Sciences
grant June 1, 1998 - May 31, 2003
Joint NCSU-Boeing Academic-Industrial Research Project
National Science Foundation - Directorate for Mathematical & Physical Sciences
grant July 15, 1997 - December 31, 2000
Nonlinear Equations and Bound Costrained Optimization
National Science Foundation - Directorate for Mathematical & Physical Sciences
grant August 1, 1994 - July 31, 1995
Mathematical Sciences: Workshop on Krylov Subspace Methods and Applications
National Science Foundation - Directorate for Mathematical & Physical Sciences
grant June 1, 1994 - November 30, 1997
Mathematical Sciences: Iterative Methods for Equations and Optimization
National Science Foundation - Directorate for Mathematical & Physical Sciences
grant February 15, 1992 - July 31, 1993
Course Development in Scientific Computation
National Science Foundation - Directorate for Mathematical & Physical Sciences
grant June 1, 1991 - November 30, 1994
Mathematical Sciences: Optimization Problems in Function Spaces
National Science Foundation - Directorate for Mathematical & Physical Sciences
grant April 15, 1991 - March 31, 1992
Mathematical Sciences: Conference on Numerical Optimization Methods in Differential Equations and Control; July 15-17, 1991, Raleigh, North Carolina
National Science Foundation - Directorate for Mathematical & Physical Sciences
grant June 1, 1989 - November 30, 1991
Mathematical Sciences: Optimization Problems in Function Spaces
National Science Foundation - Directorate for Mathematical & Physical Sciences
grant July 1, 1988 - December 31, 1992
U.S.-Federal Republic of Germany Cooperative Research on Pointwise Quasi-Newton Methods (Applied Mathematics)
National Science Foundation - Office of the Director
grant June 1, 1986 - November 30, 1989
Mathematical Sciences: Quasi-Newton Methods for Infinite Dimensional Problems
National Science Foundation - Directorate for Mathematical & Physical Sciences
grant July 1, 1985 - December 31, 1986
Mathematical Sciences: Iterative Methods for Singular Nonlinear Problems
National Science Foundation - Directorate for Mathematical & Physical Sciences
grant June 1, 1983 - November 30, 1985
Mathematical Sciences: The Convergence Behavior of IterativeMethods For Singular and Nearly Singular Nonlinear Problems
National Science Foundation - Directorate for Mathematical & Physical Sciences
grant June 15, 1979 - November 30, 1983
Solvability of H-Equations By Iteration
National Science Foundation - Directorate for Mathematical & Physical Sciences

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