Also known as: C. T. Kelley

Updated: July 10th, 2023 21:16

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, ORCID

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

Sources: ORCID, Web Of Science

Added: April 6, 2023

2022 journal article

Newton's Method in Mixed Precision

*SIAM REVIEW*, *64*(1), 191–211.

Sources: ORCID, Web Of Science

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.

Sources: ORCID, Web Of Science

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.

Sources: ORCID, Web Of Science

Added: August 6, 2021

2021 journal article

Interpolation Methods for Molecular Potential Energy Surface Construction

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

Sources: ORCID, Web Of Science

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.

Sources: ORCID, Web Of Science

Added: August 27, 2021

2020 journal article

Mesh independence of the generalized Davidson algorithm

*Journal of Computational Physics*, *409*, 109322.

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.

Sources: ORCID, Crossref

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

Sources: Web Of Science, ORCID, Crossref

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.

Sources: ORCID, Crossref, 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

Sources: Web Of Science, Crossref, ORCID

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.

Sources: ORCID, Crossref

Added: August 29, 2019

2018 journal article

Modeling Nondilute Species Transport Using the Thermodynamically Constrained Averaging Theory

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

Sources: Web Of Science, ORCID, Crossref

Added: November 12, 2018

2018 journal article

Numerical methods for nonlinear equations

*Acta Numerica*, *27*, 207–287.

Sources: Web Of Science, Crossref, ORCID

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, ORCID

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

Sources: Web Of Science, Crossref, ORCID

Added: August 6, 2018

2016 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.

Sources: Web Of Science, Crossref, ORCID

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.

Sources: Web Of Science, ORCID

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.

Sources: Web Of Science, Crossref, ORCID

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

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.

Sources: Web Of Science, Crossref, ORCID

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

Sources: Web Of Science, ORCID, Crossref

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

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

Sources: Web Of Science, Crossref, ORCID

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.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2014 journal article

Reaction Path Following with Sparse Interpolation

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

Sources: ORCID, Web Of Science, Crossref

Added: August 6, 2018

2014 journal article

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

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

Sources: Crossref, ORCID

Added: August 29, 2019

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.

Sources: Web Of Science, ORCID

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

Sources: Web Of Science, ORCID

Added: August 6, 2018

2013 article

Hybrid Deterministic/Monte Carlo Neutronics

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

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 journal article

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

*ADVANCES IN WATER RESOURCES*, *51*, 405–437.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2013 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

Sources: Web Of Science, Crossref

Added: August 6, 2018

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

Sources: Web Of Science, ORCID

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.

Sources: Web Of Science, ORCID

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, ORCID

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

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 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.

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.

Sources: NC State University Libraries, ORCID

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.

Sources: Web Of Science, ORCID

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

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.

Sources: Web Of Science, ORCID

Added: August 6, 2018

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.

Sources: Web Of Science, ORCID

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

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.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2011 article

Users' Guide for imfil

Source: ORCID

Added: August 29, 2019

2010 journal article

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

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

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 Rosenbrock Methods to Compute Stationary Points

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

Sources: Web Of Science, ORCID

Added: August 6, 2018

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

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

Source: Web Of Science

Added: August 6, 2018

2009 journal article

More efficient optimization of long-term water supply portfolios

*WATER RESOURCES RESEARCH*, *45*.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2009 journal article

Pseudo-transient continuation for nonlinear transient elasticity

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

Sources: Web Of Science, ORCID

Added: August 6, 2018

2008 journal article

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

*Advances in Water Resources*, *31*, 743–757.

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

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

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

Sources: Web Of Science, ORCID

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.

Sources: Web Of Science, ORCID

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

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

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

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.

Sources: Web Of Science, 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

Sources: Web Of Science, ORCID

Added: August 6, 2018

2006 journal article

Developing portfolios of water supply transfers

*WATER RESOURCES RESEARCH*, *42*(5).

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

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).

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.

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.

Sources: Web Of Science, ORCID

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

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.

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

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.

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.

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

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

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.

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

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.

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.

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.

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

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.

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.

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

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

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

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

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.

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.

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

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

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.

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

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.

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.

Sources: Crossref, ORCID

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

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

Sources: Crossref, Web Of Science, 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.

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

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.

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.

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.

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.

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.

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

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

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.

Sources: Crossref, 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.

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.

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

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.

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

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.

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.

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.

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, ORCID

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.

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.

Sources: Crossref, ORCID

Added: August 29, 2019

Updated: September 7th, 2021 11:29

2021 - present

1978 - 2021

Updated: August 13th, 2023 08:11

1973 - 1976

1969 - 1973

1957 - 1969

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