Carl Timothy Kelley
Also known as: C. T. Kelley
Works (268)
Updated: October 2nd, 2024 05:07
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
open access via arxiv.org (repository)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
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.
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.
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
3. Good Health and Well-being
(Web of Science)
7. Affordable and Clean Energy
(OpenAlex)
Sources: ORCID, Web Of Science, NC State University Libraries
Added: April 6, 2023
2022 journal article
Newton's Method in Mixed Precision
SIAM REVIEW, 64(1), 191–211.
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.
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.
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.
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.
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.
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.
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.
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)
11. Sustainable Cities and Communities
(Web of Science)
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.
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.
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation
(Web of Science)
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.
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).
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.
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
11. Sustainable Cities and Communities
(Web of Science)
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)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
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.
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.
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)
11. Sustainable Cities and Communities
(Web of Science)
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.
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.
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.
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.
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.
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.
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.
author keywords: neutron transport; k-eigenvalue problem; hybrid methods; moment-based acceleration
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
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.
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.
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.
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
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.
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.
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.
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.
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.
Source: NC State University Libraries
Added: October 7, 2019
2013 article
Explicit Pseudo-Transient Continuation
Pacific J. Opt., Vol. 9, pp. 77–91.
Source: ORCID
Added: August 29, 2019
2013 journal article
Explicit pseudo-transient continuation
Pacific Journal of Optimization, 9(1), 77–91.
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.
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)
11. Sustainable Cities and Communities
(Web of Science)
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.
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.
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.
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
11. Sustainable Cities and Communities
(Web of Science)
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.
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
12. Responsible Consumption and Production
(Web of Science)
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.
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.
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.
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
11. Sustainable Cities and Communities
(Web of Science)
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.
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.
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.
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.
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)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science; OpenAlex)
Sources: Web Of Science, Crossref
Added: August 6, 2018
2012 article
Research Spotlights: New Opportunities for SIAM Review Authors
SIAM News.
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.
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)
11. Sustainable Cities and Communities
(Web of Science)
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.
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.
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.
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.
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.
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.
Source: ORCID
Added: August 29, 2019
2011 monograph
Implicit Filtering
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.
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.
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.
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.
Contributors: I. Ipsen *, * & 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
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.
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
3. Good Health and Well-being
(Web of Science)
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.
UN Sustainable Development Goal Categories
9. Industry, Innovation and Infrastructure
(Web of Science)
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.
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
Source: ORCID
Added: August 29, 2019
2010 article
Special issue in Memory of Alexander Rubinov
Pacific Journal of Optimization, Vol. 6.
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).
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.
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.
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.
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)
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation
(Web of Science)
13. Climate Action
(Web of Science)
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.
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.
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.
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.
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.
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.
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)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science; OpenAlex)
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.
Source: ORCID
Added: August 29, 2019
2008 journal article
PROJECTED PSEUDOTRANSIENT CONTINUATION
SIAM JOURNAL ON NUMERICAL ANALYSIS, 46(6), 3071–3083.
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.
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.
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.
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.
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.
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.
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
Source: ORCID
Added: August 29, 2019
2006 journal article
Additive scaling and the DIRECT algorithm
JOURNAL OF GLOBAL OPTIMIZATION, 36(4), 597–608.
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).
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation
(Web of Science)
13. Climate Action
(Web of Science)
Sources: Web Of Science, ORCID
Added: August 6, 2018
2006 article
Model Reduction for Nonlinear Least Squares
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.
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.
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.
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)
UN Sustainable Development Goal Categories
9. Industry, Innovation and Infrastructure
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2006 article
Reduced order models for nonlinear least squares problems
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.
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.
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).
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)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
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.
Event: at Chapel Hill, NC
Source: ORCID
Added: August 29, 2019
2006 article
{SETraNS} Manual: Simulation of Electronic Transport in Nanoscale Structures
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.
Source: ORCID
Added: August 29, 2019
2005 journal article
Pseudo-transient Continuation for Nonsmooth Nonlinear Equations
SIAM J. Numer. Anal., 43(4), 1385–1406.
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.
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.
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.
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.
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)
UN Sustainable Development Goal Categories
13. Climate Action
(Web of Science)
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).
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
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.
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.
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.
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.
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.
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)
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation
(Web of Science)
13. Climate Action
(Web of Science)
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''
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Source: ORCID
Added: August 29, 2019
2002 journal article
Solution of A Groundwater Control Problem with Implicit Filtering
Optimization and Engineering, 3, 189–199.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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)
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation
(Web of Science; OpenAlex)
13. Climate Action
(Web of Science)
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.
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.
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.
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.
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.
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.
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.
Source: ORCID
Added: August 29, 2019
1999 book
Iterative Methods for Optimization
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.
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.
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.
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).
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.
author keywords: Richards' equation; method of lines; inexact Newton methods
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation
(Web of Science)
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.
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).
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.
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.
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.
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation
(Web of Science)
13. Climate Action
(Web of Science)
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.
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
6. Clean Water and Sanitation
(Web of Science)
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.
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.
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
6. Clean Water and Sanitation
(Web of Science)
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.
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.
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.
Contributors: S. Campbell* , I. Ipsen, * , 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.
Sources: Crossref, ORCID
Added: July 20, 2019
1996 journal article
GMRES and Integral Operators
SIAM Journal on Scientific Computing, 17(1), 217–226.
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.
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.
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.
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
11. Sustainable Cities and Communities
(Web of Science)
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Sources: Crossref, ORCID
Added: July 27, 2019
1993 journal article
Pointwise Broyden Methods
SIAM Journal on Optimization, 3(2), 423–441.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Sources: Crossref, ORCID
Added: July 28, 2019
1991 journal article
Observations on Computational Mathematics in {J}apan
ONRFE Scientific Information Bulletin, 16, 49–54.
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.
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.
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.
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.
Event: IEEE
Source: ORCID
Added: August 29, 2019
1990 journal article
Approximate quasi-Newton methods
Mathematical Programming, 48(1-3), 41–70.
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.
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.
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.
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.
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.
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.
UN Sustainable Development Goal Categories
9. Industry, Innovation and Infrastructure
(Web of Science)
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).
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Sources: Crossref, ORCID
Added: July 28, 2019
1985 journal article
Why does the -method work?
Transport Theory and Statistical Physics, 14, 513–526.
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.
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.
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.
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.
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.
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.
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.
Source: ORCID
Added: August 29, 2019
1983 journal article
Energy dependent radiative transfer in inhomogeneous slabs
Journal of Integral Equations, 5, 33–48.
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.
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.
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.
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.
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.
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.
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.
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.
Sources: Crossref, ORCID
Added: July 28, 2019
1981 journal article
Multi-group neutron transport in inhomogeneous slabs
Journal of Integral Equations, 3, 261–275.
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.
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.
Sources: Crossref, ORCID
Added: August 29, 2019
1980 journal article
Newton's method at singular points {II}
SIAM J. Numer. Anal., 17, 465–471.
Source: ORCID
Added: August 29, 2019
1980 journal article
Newton's method at singular points {I}
SIAM J. Numer. Anal., 17, 66–70.
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.
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.
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.
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.
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.
Sources: Crossref, ORCID
Added: August 29, 2019
1979 journal article
Operator-valued Chandrasekhar H-functions
Journal of Mathematical Analysis and Applications, 70, 579–588.
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.
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.
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.
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.
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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