Carl Kelley

Pasmann, S., Variansyah, I., Kelley, C. T., & McClarren, R. (2023, January 13). A Quasi-Monte Carlo Method With Krylov Linear Solvers for Multigroup Neutron Transport Simulations. NUCLEAR SCIENCE AND ENGINEERING, Vol. 1. https://doi.org/10.1080/00295639.2022.2143704

Kwon, H.-Y., Curtin, G. M. M., Morrow, Z., Kelley, C. T., & Jakubikova, E. (2023, April 5). Adaptive basis sets for practical quantum computing. INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, Vol. 4. https://doi.org/10.1002/qua.27123

Kelley, C. T. (2022). Newton's Method in Mixed Precision. SIAM REVIEW, 64(1), 191–211. https://doi.org/10.1137/20M1342902

Bian, W., Chen, X., & Kelley, C. T. (2021). ANDERSON ACCELERATION FOR A CLASS OF NONSMOOTH FIXED-POINT PROBLEMS. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 43(5), S1–S20. https://doi.org/10.1137/20M132938X

Morrow, Z., Kwon, H.-Y., Kelley, C. T., & Jakubikova, E. (2021). Efficient Approximation of Potential Energy Surfaces with Mixed-Basis Interpolation. JOURNAL OF CHEMICAL THEORY AND COMPUTATION, 17(9), 5673–5683. https://doi.org/10.1021/acs.jctc.1c00569

Kwon, H.-Y., Morrow, Z., Kelley, C. T., & Jakubikova, E. (2021). Interpolation Methods for Molecular Potential Energy Surface Construction. JOURNAL OF PHYSICAL CHEMISTRY A, 125(45), 9725–9735. https://doi.org/10.1021/acs.jpca.1c06812

Morrow, Z., Kwon, H.-Y., Kelley, C. T., & Jakubikova, E. (2021, August 19). Reduced-dimensional surface hopping with offline-online computations. PHYSICAL CHEMISTRY CHEMICAL PHYSICS, Vol. 8. https://doi.org/10.1039/D1CP03446D

Kelley, C. T., Bernholc, J., Briggs, E. L., Hamilton, S., Lin, L., & Yang, C. (2020). Mesh independence of the generalized Davidson algorithm. Journal of Computational Physics, 409, 109322. https://doi.org/10.1016/j.jcp.2020.109322

Morrow, Z., Liu, C., Kelley, C. T., & Jakubikova, E. (2019). Approximating Periodic Potential Energy Surfaces with Sparse Trigonometric Interpolation. The Journal of Physical Chemistry B, 123(45), 9677–9684. https://doi.org/10.1021/acs.jpcb.9b08210

Chen, X., & Kelley, C. T. (2019). Convergence of the EDIIS Algorithm for Nonlinear Equations. SIAM Journal on Scientific Computing, 41(1), A365–A379. https://doi.org/10.1137/18M1171084

Liu, C., Kelley, C. T., & Jakubikova, E. (2019). Molecular Dynamics Simulations on Relaxed Reduced-Dimensional Potential Energy Surfaces. The Journal of Physical Chemistry A, 123(21), 4543–4554. https://doi.org/10.1021/acs.jpca.9b02298

Ellis, J. A., Evans, T. M., Hamilton, S. P., Kelley, C. T., & Pandya, T. M. (2019). Optimization of processor allocation for domain decomposed Monte Carlo calculations. Parallel Computing, 87, 77–86. https://doi.org/10.1016/j.parco.2019.06.001

Chen, X., Kelley, C. T., Xu, F., & Zhang, Z. (2018). A Smoothing Direct Search  Method for Monte Carlo-Based Bound Constrained Composite Nonsmooth Optimization. SIAM Journal on Scientific Computing, 40(4), A2174–A2199. https://doi.org/10.1137/17M1116714

Weigand, T. M., Schultz, P. B., Giffen, D. H., Farthing, M. W., Crockett, A., Kelley, C. T., … Miller, C. T. (2018). Modeling Nondilute Species Transport Using the Thermodynamically Constrained Averaging Theory. Water Resources Research, 54(9), 6656–6682. https://doi.org/10.1029/2017WR022471

Kelley, C. T. (2018). Numerical methods for nonlinear equations. Acta Numerica, 27, 207–287. https://doi.org/10.1017/s0962492917000113

Terlaky, T., Anjos, M., & Ahmed, S. (Eds.). (2017). Implicit Filtering and Hidden Constraints. In Advances and Trends in Optimization with Engineering Applications (pp. 507–508). https://doi.org/10.1137/1.9781611974683.ch38

Kelley, C. T. (2017). 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.

Toth, A., Ellis, J. A., Evans, T., Hamilton, S., Kelley, C. T., Pawlowski, R., & Slattery, S. (2017). Local Improvement Results for Anderson Acceleration with Inaccurate Function Evaluations. SIAM Journal on Scientific Computing, 39(5), S47–S65. https://doi.org/10.1137/16m1080677

Wyers, E. J., Morton, M. A., Sollner, T. C. L. G., Kelley, C. T., & Franzon, P. D. (2016). A Generally Applicable Calibration Algorithm for Digitally Reconfigurable Self-Healing RFICs. IEEE Transactions on Very Large Scale Integration (VLSI) Systems, 24(3), 1151–1164. https://doi.org/10.1109/tvlsi.2015.2424211

Hamilton, S., Berrill, M., Clarno, K., Pawlowski, R., Toth, A., Kelley, C. T., … Philip, B. (2016). An assessment of coupling algorithms for nuclear reactor core physics simulations. JOURNAL OF COMPUTATIONAL PHYSICS, 311, 241–257. https://doi.org/10.1016/j.jcp.2016.02.012

Nance, J., & Kelley, C. T. (2015). A Sparse Interpolation Algorithm for Dynamical Simulations in Computational Chemistry. SIAM Journal on Scientific Computing, 37(5), S137–S156. https://doi.org/10.1137/140965284

Toth, A., Kelley, C. T., Slattery, S., Hamilton, S., Clarno, K., & Pawlowski, R. (2015). 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.

Toth, A., & Kelley, C. T. (2015). Convergence Analysis for Anderson Acceleration. SIAM Journal on Numerical Analysis, 53(2), 805–819. https://doi.org/10.1137/130919398

Nance, J., Bowman, D. N., Mukherjee, S., Kelley, C. T., & Jakubikova, E. (2015). Insights into the Spin-State Transitions in [Fe(tpy)2]2+: Importance of the Terpyridine Rocking Motion. Inorganic Chemistry, 54(23), 11259–11268. https://doi.org/10.1021/acs.inorgchem.5b01747

Willert, J., Chen, X., & Kelley, C. T. (2015). Newton's Method for Monte Carlo--Based Residuals. SIAM Journal on Numerical Analysis, 53(4), 1738–1757. https://doi.org/10.1137/130905691

Chen, X., & Kelley, C. T. (2015). Optimization with Hidden Constraints and Embedded Monte Carlo Computations. Optimization and Engineering.

Chen, X., & Kelley, C. T. (2015). Optimization with hidden constraints and embedded Monte Carlo computations. Optimization and Engineering, 17(1), 157–175. https://doi.org/10.1007/s11081-015-9302-1

Willert, J., Kelley, C. T., Knoll, D. A., & Park, H. (2014). 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. https://doi.org/10.1080/00411450.2014.910225

Eslinger, O. J., Winton, C., Ballard, J. R., Howington, S. E., Fregosi, A., Ward, K., & Kelley, C. T. (2014). Estimating Sampling Distributions of Apparent Thermal Diffusivity for Partially Saturated Soils. IEEE Trans. Geosci. Remote Sensing, 15.

Hu, Z., Smith, R., Willert, J., & Kelley, C. T. (2014). HDMR applied to the 1-D, Single Speed Neutron Transport k-Eigenvalue Problem. Nuclear Science and Engineering, 177, 1–11.

Hu, Z., Smith, R. C., Willert, J., & Kelley, C. T. (2014). High-Dimensional Model Representations for the Neutron Transport Equation. NUCLEAR SCIENCE AND ENGINEERING, 177(3), 350–360. https://doi.org/10.13182/nse13-52

Nance, J., Jakubikova, E., & Kelley, C. T. (2014). Reaction Path Following with Sparse Interpolation. Journal of Chemical Theory and Computation, 10(8), 2942–2949. https://doi.org/10.1021/ct5004669

Aoi, M. C., Kelley, C., Novak, V., & Olufsen, M. S. (2014). Sparse interpolatory reduced-order models for simulation of light-induced molecular transformations. Optimization Methods and Software, 29(2), 264–273. https://doi.org/10.3182/20090812-3-DK-2006.0088

Wyers, E. J., Steer, M. B., Kelley, C. T., & Franzon, P. D. (2013). A Bounded and Discretized Nelder-Mead Algorithm Suitable for RFIC Calibration. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 60(7), 1787–1799. https://doi.org/10.1109/tcsi.2012.2230496

Willert, J., Kelley, C. T., Knoll, D. A., & Park, H. K. (2013). 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.

Costolanski, A. S., Kelley, C. T., Howell, G. W., & Salinger, A. G. (2013). 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.

Willert, J., & Kelley, C. T. (2013). 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.

Kelley, C. T., & Liao, L.-Z. (2013). Explicit Pseudo-Transient Continuation. Pacific J. Opt., Vol. 9, pp. 77–91.

Kelley, C. T., & Liao, L. Z. (2013). Explicit pseudo-transient continuation. Pacific Journal of Optimization, 9(1), 77–91.

Willert, J., Kelley, C. T., Knoll, D. A., & Park, H. (2013). HYBRID DETERMINISTIC/MONTE CARLO NEUTRONICS. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 35(5), S62–S83. https://doi.org/10.1137/120880021

Willert, J., Kelley, C. T., Knoll, D. A., & Park, H. K. (2013). Hybrid Deterministic/Monte Carlo Neutronics. SIAM J. Sci. Comp., Vol. 35, pp. S62–S83. https://doi.org/http://dx.doi.org/10.1137/120880021

Briggs, E., Hodak, M., Rose, F., Lu, W., Kelley, C. T., & Bernholc, J. (2013). 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.

Miller, C. T., Dawson, C. N., Farthing, M. W., Hou, T. Y., Huang, J., Kees, C. E., … Langtangen, H. P. (2013). Numerical simulation of water resources problems: Models, methods, and trends. ADVANCES IN WATER RESOURCES, 51, 405–437. https://doi.org/10.1016/j.advwatres.2012.05.008

Ellwein, L. M., Pope, S. R., Xie, A., Batzel, J. J., Kelley, C. T., & Olufsen, M. S. (2013). Patient-specific modeling of cardiovascular and respiratory dynamics during hypercapnia. Mathematical Biosciences, 241(1), 56–74. https://doi.org/10.1016/j.mbs.2012.09.003

Willert, J., Kelley, C. T., Knoll, D. A., & Park, H. (2013). 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. https://doi.org/10.1109/dcabes.2013.8

Kavouras, A., Georgakis, C., Kelley, C. T., Siettos, C., & Kevrekidis, I. G. (2013). Steady states for chemical process plants: A legacy code, time-stepping approach. AICHE JOURNAL, 59(9), 3308–3321. https://doi.org/10.1002/aic.14199

Benner, P., Embree, M., Lehoucq, R. B., & Kelley, C. T. (2012). A Mathematical Biography of {Danny C. Sorensen}. LAA, 436, 2717–2724.

Benner, P., Embree, M., Lehoucq, R. B., & Kelley, C. T. (2012, April 15). A mathematical biography of Danny C. Sorensen Preface. LINEAR ALGEBRA AND ITS APPLICATIONS, Vol. 436, pp. 2717–2724. https://doi.org/10.1016/j.laa.2012.01.031

Willert, J., Kelley, C. T., Knoll, D. A., Dong, H., Ravishankar, M., Sathre, P., … Taitano, W. (2012). 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. https://doi.org/10.1109/dcabes.2012.37

Willert, J., Kelley, C. T., Knoll, D. A., Dong, H., Ravishankar, M., Sathre, P., … Taitano, W. (2012). 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.

Winton, C., Kelley, C. T., Eslinger, O. J., Hensley, J., & Hines, A. (2012). Inexact Levenberg-Marquardt with Reduced Order Models. Water Resources Research.

Kelley, C. T., & Tuminaro, R. (2012). Research Spotlights: New Opportunities for SIAM Review Authors. SIAM News.

Mokrauer, D., Kelley, C. T., & Bykhovski, A. (2012). Simulations of Light-Induced Molecular Transformations in Multiple Dimensions with Incremental Sparse Surrogates. Journal of Algorithms & Computational Technology, 6(4), 577–592. https://doi.org/10.1260/1748-3018.6.4.577

Mokrauer, D., Kelley, C. T., & Bykhovski, A. (2012). Simulations of Light-Induced Molecular Transformations in Multiple Dimensions with Incremental Sparse Surrogates. J. Algorithms Comp Tech, Vol. 6, pp. 577–592.

Mokrauer, D., & Kelley, C. (2012, July). Sparse interpolatory reduced-order models for simulation of light-induced molecular transformations. Optimization Methods and Software, Vol. 29, pp. 1–10. https://doi.org/10.1080/10556788.2012.693928

Winton, C., Pettway, J., Kelley, C. T., Howington, S., & Eslinger, O. J. (2011). Application of Proper Orthogonal Decomposition (POD) to inverse problems in saturated groundwater flow. ADVANCES IN WATER RESOURCES, 34(12), 1519–1526. https://doi.org/10.1016/j.advwatres.2011.09.007

Wyers, E. J., Steer, M. B., Kelley, C. T., & Franzon, P. D. (2011). Application of a Modified Nelder-Mead Algorithm for calibrating RF Analog Integrated Circuits. Proceedings GOMACTech'11, 545–548.

Mokrauer, D., Kelley, C. T., & Bykhovski, A. (2011). 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. https://doi.org/10.1109/tnano.2010.2058862

Kelley, C. T., Qi, L., Tong, X., & Yin, H. (2011). FINDING A STABLE SOLUTION OF A SYSTEM OF NONLINEAR EQUATIONS ARISING FROM DYNAMIC SYSTEMS. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 7(2), 497–521. https://doi.org/10.3934/jimo.2011.7.497

Kelley, C. T., Qi, L., Tong, X., & Yin, H. (2011). Finding A Stable Solution of A System of Nonlinear Equations. J. Indus. Manag. Opt., 7, 497–521.

Kelley, C. T. (2011). Implicit Filtering. https://doi.org/10.1137/1.9781611971903

Kelley, C. T. (2011). Implicit Filtering. Philadelphia: SIAM.

Ipsen, I. C. F., Kelley, C. T., & Pope, S. R. (2011). Nonlinear Least Squares Problems and Subset Selection. SIAM J. Numer. Anal., 49, 1244–1266.

Ellwein, L. M., Pope, S. R., Xie, A., Batzel, J., Kelley, C. T., & Olufsen, M. S. (2011). Patient specific modeling of cardiovascular and respiratory dynamics during hypercapnia. Mathematical Biosciences, Vol. 241, pp. 56–74.

Ipsen, I. C. F., Kelley, C. T., & Pope, S. R. (2011). RANK-DEFICIENT NONLINEAR LEAST SQUARES PROBLEMS AND SUBSET SELECTION. SIAM JOURNAL ON NUMERICAL ANALYSIS, 49(3), 1244–1266. https://doi.org/10.1137/090780882

Kelley, C. T. (2011). Users' Guide for imfil.

Costolanski, A. S., & Kelley, C. T. (2010). Efficient Solution of the Wigner-Poisson Equation for Modeling Resonant Tunneling Diodes. IEEE Transactions on Nanotechnology, 9(6), 708–715. https://doi.org/10.1109/tnano.2010.2053214

Mokrauer, D., Kelley, C. T., & Bykhovski, A. (2010). 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.

Kelley, C. T., Ipsen, I. C. F., & Pope, S. R. (2010). Rank-Deficient and Ill-Conditioned Nonlinear Least Squares Problems.

Fukushima, M., Kelley, C. T., Qi, L. Q., Sun, J., & Ye, Y. Y. (2010). Special issue in Memory of Alexander Rubinov. Pacific Journal of Optimization, Vol. 6.

Kelley, C. T., Winton, C., Eslinger, O. J., & Pettway, J. (2009). 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).

Luo, X.-L., Kelley, C. T., Liao, L.-Z., & Tam, H. W. (2009). Combining Trust-Region Techniques and Rosenbrock Methods to Compute Stationary Points. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 140(2), 265–286. https://doi.org/10.1007/s10957-008-9469-0

Luo, X.-L., Kelley, C. T., Liao, L.-Z., & Tam, H.-W. (2009). Combining Trust-Region Techniques and {R}osenbrock Methods for Gradient Systems. J. Optim. Theory Appl., 140, 265–286.

Finkel, D. E., & Kelley, C. T. (2009). Convergence Analysis of Sampling Methods for Perturbed {L}ipschitz Functions. Pacific J. Opt., 5(2), 339–350.

Pope, S. R., Ellwein, L. M., Zapata, C. L., Novak, V., Kelley, C. T., & Olufsen, M. S. (2009). ESTIMATION AND IDENTIFICATION OF PARAMETERS IN A LUMPED CEREBROVASCULAR MODEL. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 6(1), 93–115. https://doi.org/10.3934/mbe.2009.6.93

Kirsch, B. R., Characklis, G. W., Dillard, K. E. M., & Kelley, C. T. (2009). More efficient optimization of long-term water supply portfolios. WATER RESOURCES RESEARCH, 45. https://doi.org/10.1029/2008wr007018

Gee, M. W., Kelley, C. T., & Lehoucq, R. B. (2009). Pseudo-transient continuation for nonlinear transient elasticity. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 78(10), 1209–1219. https://doi.org/10.1002/nme.2527

Fowler, K. R., Reese, J. P., Kees, C. E., Dennis, J. E., Kelley, C. T., Miller, C. T., … Kolda, T. G. (2008). A Comparison of Derivative-Free Optimization Methods for Groundwater Supply and Hydraulic Capture Problems. Advances in Water Resources, 31, 743–757. https://doi.org/10.1016/j.advwatres.2008.10.010

Zhang, L.-H., Kelley, C. T., & Liao, L.-Z. (2008). A continuous {N}ewton-type method for unconstrained optimization. Pacific Journal of Optimization, 4(2), 259–277.

Fowler, K. R., Reese, J. P., Kees, C. E., Dennis, J. E., Jr., Kelley, C. T., Miller, C. T., … Kolda, T. G. (2008). Comparison of derivative-free optimization methods for groundwater supply and hydraulic capture community problems. ADVANCES IN WATER RESOURCES, 31(5), 743–757. https://doi.org/10.1016/j.advwatres.2008.01.010

Pope, S. R., Ellwein, L. M., Zapata, C. I., Novak, V., Kelley, C. T., & Olufsen, M. S. (2008). Estimation and identification of parameters in a lumped cerebrovascular model. Math. Biosci. Eng., 6, 93–115.

Kelley, C. T., Liao, L.-Z., Qi, L., Chu, M. T., Reese, J. P., & Winton, C. (2008). PROJECTED PSEUDOTRANSIENT CONTINUATION. SIAM JOURNAL ON NUMERICAL ANALYSIS, 46(6), 3071–3083. https://doi.org/10.1137/07069866X

Kelley, C. T., Liao, L.-Z., Qi, L., Chu, M. T., Reese, J. P., & Winton, C. (2008). Projected Pseudo-Transient Continuation. SIAM J. Numer. Anal., 46(6), 3071–3083.

Marucho, M., Kelley, C. T., & Pettitt, B. M. (2008). Solutions of the optimized closure integral equation theory: Heteronuclear polyatomic fluids. JOURNAL OF CHEMICAL THEORY AND COMPUTATION, 4(3), 385–396. https://doi.org/10.1021/ct700202h

A Case Study in Using Local {I/O} and {GPFS} to Improve Simulation Scalability. (2007). 8th LCI International Conference on High-Performance Clustered Computing.

Lasater, M. S., Kelley, C. T., Salinger, A., Woolard, D. L., Recine, G., & Zhao, P. (2007). Analysis of A Scalable Preconditioner for the Wigner-Poisson Equation. International Journal of Pure and Applied Mathematics, 37, 247–270.

Dickson, K. I., Kelley, C. T., Ipsen, I. C. F., & Kevrekidis, I. G. (2007). Condition estimates for pseudo-arclength continuation. SIAM JOURNAL ON NUMERICAL ANALYSIS, 45(1), 263–276. https://doi.org/10.1137/060654384

Finkel, D. E., & Kelley, C. T. (2007). Convergence Analysis of the {DIRECT} Algorithm.

Finkel, D. E., & Kelley, C. T. (2006). Additive scaling and the DIRECT algorithm. JOURNAL OF GLOBAL OPTIMIZATION, 36(4), 597–608. https://doi.org/10.1007/s10898-006-9029-9

Characklis, G. W., Kirsch, B. R., Ramsey, J., Dillard, K. E. M., & Kelley, C. T. (2006). Developing portfolios of water supply transfers. WATER RESOURCES RESEARCH, 42(5). https://doi.org/10.1029/2005wr004424

Kelley, C. T., Sorensen, D., Reese, J. P., & Winton, C. (2006). Model Reduction for Nonlinear Least Squares.

Kees, C. E., Farthing, M. W., Howington, S. E., Jenkins, E. W., & Kelley, C. T. (2006). 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.

Lasater, M. S., Kelley, C. T., Salinger, A., Woolard, D. L., & Zhao, P. (2006). Parallel Parameter Study of the {Wigner-Poisson} Equations for {RTDs}. Computers and Mathematics with Applications, 51, 1677–1688.

Lasater, M. S., Kelley, C. T., Salinger, A. G., Woolard, D. L., & Zhao, P. (2006, June). Parallel parameter study of the Wigner-Poisson equations for RTDs. COMPUTERS & MATHEMATICS WITH APPLICATIONS, Vol. 51, pp. 1677–1688. https://doi.org/10.1016/j.camwa.2006.05.006

Kelley, C. T., Sorensen, D., Reese, J. P., & Winton, C. (2006). Reduced order models for nonlinear least squares problems.

Lasater, M. S., Kelley, C. T., Salinger, A., Zhao, P., & Woolard, D. L. (2006). 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.

Reese, J. P., Long, K., Kelley, C. T., Miller, C. T., & Gray, W. G. (2006). Simulating Non-{D}arcy Flow through Porous Media using {S}undance. Proceedings of Computational Methods in Water Resources XVI, Paper number 148, 8 pages.

Qiao, L., Erban, R., Kelley, C. T., & Kevrekidis, I. G. (2006). Spatially distributed stochastic systems: Equation-free and equation-assisted preconditioned computations. JOURNAL OF CHEMICAL PHYSICS, 125(20). https://doi.org/10.1063/1.2372492

Characklis, G. W., Kirsch, B. R., Ramsey, J., Dillard, K. E. M., & Kelley, C. T. (2006). Using Water Transfers to Manage Supply Risk. Proceedings of Symposium on Safe Drinking Water: Where Science Meets Policy. Chapel Hill, NC.

Lasater, M. S., Recine, G., Kelley, C. T., Woolard, D. L., & Zhao, P. (2006). {SETraNS} Manual: Simulation of Electronic Transport in Nanoscale Structures.

Federov, M. V., Chuev, G. N., Kelley, C. T., & Pettitt, B. M. (2005). Multilevel wavelet solver for the Ornstein-Zernike equation (No. CRSC-TR05-07). North Carolina State University, Center for Research in Scientific Computation.

Fowler, K. R., & Kelley, C. T. (2005). Pseudo-transient Continuation for Nonsmooth Nonlinear Equations. SIAM J. Numer. Anal., 43(4), 1385–1406. https://doi.org/10.1137/s0036142903431298

Zhao, P., Woolard, D. L., Lasater, M. S., & Kelley, C. T. (2005). 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.

Kelley, C. T., & Pettitt, B. M. (2004). A Fast Algorithm for the {Ornstein-Zernike} Equations. J. Comp. Phys., 197, 491–591.

Fowler, K. R., Kelley, C. T., Kees, C. E., & Miller, C. T. (2004). 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.

Kelley, C. T., & Pettitt, B. M. (2004). A fast solver for the Ornstein-Zernike equations. JOURNAL OF COMPUTATIONAL PHYSICS, 197(2), 491–501. https://doi.org/10.1016/j.jcp.2003.12.006

Lasater, M. S., Kelley, C. T., Salinger, A., Woolard, D. L., & Zhao, P. (2004). 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).

Conn, A. R., Kelley, C. T., Scheinberg, K., & Vicente, L. N. (2004). Implicit Filtering Revisited.

Lasater, M. S., Kelley, C. T., Salinger, A., Woolard, D. L., & Zhao, P. (2004). 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.

Kelley, C. T., Fowler, K. R., & Kees, C. E. (2004). 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.

Fowler, K. R., Kelley, C. T., Miller, C. T., Kees, C. E., Darwin, R. W., Reese, J. P., … Reed, M. S. C. (2004). Solution of a well-field design problem with implicit filtering. OPTIMIZATION AND ENGINEERING, 5(2), 207–234. https://doi.org/10.1023/B:OPTE.0000033375.33183.e7

Kanney, J. F., Miller, C. T., & Kelley, C. T. (2003). Convergence of iterative split-operator approaches for approximating nonlinear reactive transport problems. ADVANCES IN WATER RESOURCES, 26(3), 247–261. https://doi.org/10.1016/S0309-1708(02)00162-8

Farthing, M. W., Kees, C. E., Coffey, T. S., Kelley, C. T., & Miller, C. T. (2003). Efficient steady-state solution techniques for variably saturated groundwater flow. ADVANCES IN WATER RESOURCES, 26(8), 833–849. https://doi.org/10.1016/S0309-1708(03)00076-9

Mayer, A. S., Kelley, C. T., & Miller, C. T. (2003). Electronic Supplement to ``{O}ptimal Design for Problems Involving Flow and Transport Phenomena in Saturated Subsurface Systems''.

Coffey, T. S., McMullan, R. J., Kelley, C. T., & McRae, D. S. (2003). Globally Convergent Algorithms for Nonsmooth Nonlinear Equations in Computational Fluid Dynamics. J. Comp. Appl. Math., 152, 69–81.

Coffey, T., McMullan, R. J., Kelley, C. T., & McRae, D. S. (2003, March 1). Globally convergent algorithms for nonsmooth nonlinear equations in computational fluid dynamics. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, Vol. 152, pp. 69–81. https://doi.org/10.1016/S0377-0427(02)00697-0

Kelley, C. T. (2003). 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.

Kelley, C. T. (2003). 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.

Lasater, M. S., Kelley, C. T., Zhao, P., & Woolard, D. L. (2003). 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.

Coffey, T. S., Kelley, C. T., & Keyes, D. E. (2003). Pseudotransient continuation and differential-algebraic equations. SIAM JOURNAL ON SCIENTIFIC COMPUTING, Vol. 25, pp. 553–569. https://doi.org/10.1137/S106482750241044X

Kelley, C. T. (2003). Solving Nonlinear Equations with Newton's Method. Philadelphia: SIAM.

Kelley, C. T., & Sachs, E. W. (2003). Truncated Newton methods for optimization with inaccurate functions and gradients. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 116(1), 83–98. https://doi.org/10.1023/A:1022110219090

Kees, C. E., Miller, C. T., Jenkins, E. W., & Kelley, C. T. (2003). Versatile two-level Schwarz preconditioners for multiphase flow. COMPUTATIONAL GEOSCIENCES, 7(2), 91–114. https://doi.org/10.1023/A:1023514922877

Miller, C. T., Farthing, M. W., Kees, C. E., & Kelley, C. T. (2002). 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.

Miller, C. T., Farthing, M. W., Kees, C. E., & Kelley, C. T. (2002). 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.

Kavanagh, K. R., Kelley, C. T., Berger, R. C., Hallberg, J. P., & Howington, S. E. (2002). 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.

Mayer, A. S., Kelley, C. T., & Miller, C. T. (2002). Optimal Design for Problems Involving Flow and Transport Phenomena in Saturated Subsurface Systems. Advances in Water Resources, 12, 1233–1256.

Mayer, A. S., Kelley, C. T., & Miller, C. T. (2002). [Review of Optimal design for problems involving flow and transport phenomena in saturated subsurface systems]. ADVANCES IN WATER RESOURCES, 25(8-12), 1233–1256. https://doi.org/10.1016/S0309-1708(02)00054-4

Kelley, C. T., Woolard, D. L., Zhao, P., Kerr, M., & Lasater, M. S. (2002). 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.

Coffey, T., Kelley, C. T., & Keyes, D. E. (2002). 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.

Battermann, A., Gablonsky, J. M., Patrick, A., Kelley, C. T., Coffey, T., Kavanagh, K., & Miller, C. T. (2002). Solution of A Groundwater Control Problem with Implicit Filtering. Optimization and Engineering, 3, 189–199.

Gablonsky, J. M., & Kelley, C. T. (2001). A locally-biased form of the DIRECT algorithm. JOURNAL OF GLOBAL OPTIMIZATION, 21(1), 27–37. https://doi.org/10.1023/A:1017930332101

Carter, R., Gablonsky, J. M., Patrick, A., Kelley, C. T., & Eslinger, O. J. (2001). Algorithms for Noisy Problems in Gas Transmission Pipeline Optimization. Optimization and Engineering, 2, 139–157.

Jenkins, E. W., Kelley, C. T., Miller, C. T., & Kees, C. E. (2001). An Aggregation-based Domain Decomposition Preconditioner for Groundwater Flow. SIAM J. Sci. Comp., 23, 430–441.

Jenkins, E. W., Kees, C. E., Kelley, C. T., & Miller, C. T. (2001, August 15). An aggregation-based domain decomposition preconditioner for groundwater flow. SIAM JOURNAL ON SCIENTIFIC COMPUTING, Vol. 23, pp. 430–441. https://doi.org/10.1137/S1064827500372274

Kelley, C. T. (2001). Nonlinear Equations: Contraction-Mapping Principle. In C. A. Floudas & P. M. Pardalos (Eds.), Encyclopedia of Optimization (pp. two pages). Dordrecht: Kluwer.

Gremaud, P. A., Kelley, C. T., Royal, T. A., & Coffey, K. A. (2001). On a powder consolidation problem. SIAM J. Appl. Math., 62(1), 1–20. https://doi.org/10.1137/s0036139900368479

Mayer, A. S., Kelley, C. T., & Miller, C. T. (2001). 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.

Jenkins, E. W., Berger, R. C., Hallberg, J. P., Howington, S. E., Kelley, C. T., Schmidt, J. H., … Tocci, M. D. (2000). 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.

Kelley, C. T. (2000). Broyden Method. In M. Hazenwinkel (Ed.), Encyclopedia of Mathematics: Supplement II (pp. 96–98). Dordrecht: Kluwer.

Ferng, W. R., & Kelley, C. T. (2000). Mesh Independence of Matrix-Free Methods for Path Following. SIAM J. Sci. Comp., 21, 1835–1850.

Ferng, W. R., & Kelley, C. T. (2000, May 21). Mesh independence of matrix-free methods for path following. SIAM JOURNAL ON SCIENTIFIC COMPUTING, Vol. 21, pp. 1835–1850. https://doi.org/10.1137/S1064827598339360

Choi, T. D., Eslinger, O. J., Kelley, C. T., David, J. W., & Etheridge, M. (2000). Optimization of Automotive Valve Train Components with Implict Filtering. Optimization and Engineering, 1, 9–28.

Choi, T. D., & Kelley, C. T. (2000). Superlinear convergence and implicit filtering. SIAM JOURNAL ON OPTIMIZATION, 10(4), 1149–1162. https://doi.org/10.1137/S1052623499354096

Miller, C. T., Williams, G. A., & Kelley, C. T. (2000). 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.

Williams, G. A., Miller, C. T., & Kelley, C. T. (2000). Transformation approaches for simulating flow in variably saturated porous media. WATER RESOURCES RESEARCH, 36(4), 923–934. https://doi.org/10.1029/1999WR900349

Kelley, C. T. (2000). {Broyden-Fletcher-Goldfarb-Shanno} Method. In M. Hazenwinkel (Ed.), Encyclopedia of Mathematics: Supplement II (pp. 95–96). Dordrecht: Kluwer.

Howington, S. E., Berger, R. C., Hallberg, J. P., Peters, J. F., Stagg, A. K., Jenkins, E. W., & Kelley, C. T. (1999). 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.

Banoczi, J. M., & Kelley, C. T. (1999). 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. https://doi.org/10.1137/S1064827597322756

Kelley, C. T., & Sachs, E. W. (1999). A trust region method for parabolic boundary control problems. SIAM JOURNAL ON OPTIMIZATION, 9(4), 1064–1081. https://doi.org/10.1137/S1052623496308965

Kelley, C. T. (1999). Detection and remediation of stagnation in the Nelder-Mead algorithm using a sufficient decrease condition. SIAM JOURNAL ON OPTIMIZATION, 10(1), 43–55. https://doi.org/10.1137/S1052623497315203

Choi, T. D., & Kelley, C. T. (1999). Estimates for the Nash-Sofer preconditioner for the reduced Hessian for some elliptic variational inequalities. SIAM JOURNAL ON OPTIMIZATION, 9(2), 327–341. https://doi.org/10.1137/S1052623497323364

Choi, T. D., Eslinger, O. J., Gilmore, P., Patrick, A., Kelley, C. T., & Gablonsky, J. M. (1999). IFFCO: Implicit Filtering for Constrained Optimization, Version 2 (No. CRSC-TR99-23). North Carolina State University, Center for Research in Scientific Computation.

Kelley, C. T. (1999). Iterative Methods for Optimization. https://doi.org/10.1137/1.9781611970920

Jenkins, E. W., Berger, R. C., Hallberg, J. P., Howington, S. E., Kelley, C. T., Schmidt, J. H., … Tocci, M. D. (1999). {Newton-Krylov-Schwarz} Methods for {R}ichards' Equation (No. CRSC-TR99-32). North Carolina State University, Center for Research in Scientific Computation.

Banoczi, J. M., & Kelley, C. T. (1998). 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. https://doi.org/10.1137/S1064827596302965

Kelley, C. T., & Keyes, D. E. (1998). Convergence analysis of pseudo-transient continuation. SIAM JOURNAL ON NUMERICAL ANALYSIS, 35(2), 508–523. https://doi.org/10.1137/S0036142996304796

Miller, C. T., Williams, G. A., & Kelley, C. T. (1998). 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).

Tocci, M. D., Kelley, C. T., Miller, C. T., & Kees, C. E. (1998). Inexact Newton methods and the method of lines for solving Richards' equation in two space dimensions. COMPUTATIONAL GEOSCIENCES, 2(4), 291–309. https://doi.org/10.1023/A:1011562522244

Kelley, C. T., & Sachs, E. W. (1998). Local convergence of the symmetric rank-one iteration. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 9(1), 43–63. https://doi.org/10.1023/A:1018330119731

Kelley, C. T. (1998). New Analysis of the {N}elder-{M}ead Algorithm. In D. W. Scott (Ed.), Proceedings of the 29th Symposium on the Interface (p. 407).

Choi, T. D., Eslinger, O. J., Kelley, C. T., David, J. W., & Etheridge, M. (1998). 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.

Miller, C. T., Williams, G. A., Kelley, C. T., & Tocci, M. D. (1998). Robust Solution of {R}ichards' Equation for Non-Uniform Porous Media. Water Resources Research, 34, 2599–2610.

Miller, C. T., Williams, G. A., Kelley, C. T., & Tocci, M. D. (1998). Robust solution of Richards' equation for nonuniform porous media. WATER RESOURCES RESEARCH, 34(10), 2599–2610. https://doi.org/10.1029/98WR01673

Kelley, C. T., Miller, C. T., & Tocci, M. D. (1998). Termination of Newton/Chord iterations and the method of lines. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 19(1), 280–290. https://doi.org/10.1137/S1064827596303582

Bortz, D. M., & Kelley, C. T. (1998). 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.

Tocci, M. D., Kelley, C. T., & Miller, C. T. (1997). 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. https://doi.org/10.1016/S0309-1708(96)00008-5

David, J. W., Cheng, C. Y., Choi, T. D., Kelley, C. T., & Gablonsky, J. (1997). Optimal Design of High Speed Mechanical Systems (No. CRSC-TR97-18). North Carolina State University, Center for Research in Scientific Computation.

Campbell, S. L., Kelley, C. T., & Yeomans, K. D. (1996). 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.

Campbell, S. L., Ipsen, I. C. F., Kelley, C. T., Meyer, C. D., & Xue, Z. Q. (1996). Convergence Estimates for Solution of Integral Equations with GMRES. Journal of Integral Equations and Applications, 8(1), 19–34. https://doi.org/10.1216/jiea/1181075914

Kelley, C. T. (1996). Existence and uniqueness of solutions of nonlinear systems of conductive-radiative heat transfer equations. Transport Theory and Statistical Physics, 25(2), 249–260. https://doi.org/10.1080/00411459608204839

Kelley, C. T., & Xue, Z. Q. (1996). GMRES and Integral Operators. SIAM Journal on Scientific Computing, 17(1), 217–226. https://doi.org/10.1137/0917015

Campbell, S. L., Ipsen, I. C. F., Kelley, C. T., & Meyer, C. D. (1996). GMRES and the minimal polynomial. BIT Numerical Mathematics, 36(4), 664–675. https://doi.org/10.1007/bf01733786

David, J. W., Kelley, C. T., & Cheng, C. Y. (1996). 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.

Kelley, C. T. (1995). A Fast Multilevel Algorithm for Integral Equations. SIAM Journal on Numerical Analysis, 32(2), 501–513. https://doi.org/10.1137/0732021

Gilmore, P., & Kelley, C. T. (1995). An Implicit Filtering Algorithm for Optimization of Functions with Many Local Minima. SIAM Journal on Optimization, 5(2), 269–285. https://doi.org/10.1137/0805015

Gilmore, P., Kelley, C. T., Miller, C. T., & Williams, G. A. (1995). 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.

Ito, S., Kelley, C. T., & Sachs, E. W. (1995). Inexact primal-dual interior point iteration for linear programs in function spaces. Computational Optimization and Applications, 4(3), 189–201. https://doi.org/10.1007/bf01300870

Kelley, C. T. (1995). Iterative Methods for Linear and Nonlinear Equations. Philadelphia: SIAM.

Kelley, C. T. (1995). Multilevel source iteration accelerators for the linear transport equation in slab geometry. Transport Theory and Statistical Physics, 24(4-5), 679–707. https://doi.org/10.1080/00411459508206021

Kelley, C. T., & Sachs, E. W. (1995). Solution of Optimal Control Problems by a Pointwise Projected Newton Method. SIAM Journal on Control and Optimization, 33(6), 1731–1757. https://doi.org/10.1137/s0363012993249900

Miller, C. T., & Kelley, C. T. (1994). 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.

Kelley, C. T. (1994). 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.

Kelley, C. T., & Sachs, E. W. (1994). Multilevel Algorithms for Constrained Compact Fixed Point Problems. SIAM Journal on Scientific Computing, 15(3), 645–667. https://doi.org/10.1137/0915042

Ashby, S. F., Kelley, C. T., Saylor, P. E., & Scroggs, J. S. (1994). 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.

Morris, A. S., Trew, R. J., Kelley, C. T., & Hayes, G. J. (1993). A Non-Quasi-Static Modular Model for {HBT}s. Proceedings IEEE/Cornell Conference on Advanced Concepts in High Speed Devices and Circuits, 440–447.

Kelley, C. T., & Northrup, J. I. (1993). A fast multi-level method for the fixed point form of matrix H-equations. Transport Theory and Statistical Physics, 22(4), 533–547. https://doi.org/10.1080/00411459308203827

Ganapol, B. D., Kelley, C. T., & Pomraning, G. C. (1993). Asymptotically Exact Boundary Conditions for the PN Equations. Nuclear Science and Engineering, 114(1), 12–19. https://doi.org/10.13182/nse93-a24010

Ganapol, B. D., Kelley, C. T., & Pomraning, G. C. (1993). Asymptotically Exact Boundary Conditions for the {P-N} Equations. Nuclear Science and Engineering, 114, 12–19.

Kelley, C. T., & Mukundan, L. (1993). Convergence analysis for the harmonic balance method. Nonlinear Analysis: Theory, Methods & Applications, 20(4), 365–380. https://doi.org/10.1016/0362-546x(93)90141-e

Kelley, C. T., & Xue, Z. Q. (1993). Inexact Newton Methods for singular problems. Optimization Methods and Software, 2(3-4), 249–267. https://doi.org/10.1080/10556789308805545

Kelley, C. T., & Sachs, E. W. (1993). Pointwise Broyden Methods. SIAM Journal on Optimization, 3(2), 423–441. https://doi.org/10.1137/0803020

Kelley, C. T. (1992). Adaptive Integral Equation Methods in Transport Theory. Nuclear Science and Engineering, 112(4), 361–368. https://doi.org/10.13182/nse92-a23984

Hwang, D. M., & Kelley, C. T. (1992). Convergence of Broyden’s Method in Banach Spaces. SIAM Journal on Optimization, 2(3), 505–532. https://doi.org/10.1137/0802025

Kelley, C. T. (1992). 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.

Heinkenschloss, M., Kelley, C. T., & Tran, H. T. (1992). Fast Algorithms for Nonsmooth Compact Fixed-Point Problems. SIAM Journal on Numerical Analysis, 29(6), 1769–1792. https://doi.org/10.1137/0729099

Kelley, C. T., & Sachs, E. W. (1992). Mesh Independence of the Gradient Projection Method for Optimal Control Problems. SIAM Journal on Control and Optimization, 30(2), 477–493. https://doi.org/10.1137/0330029

Stoneking, D. E., Bilbro, G. L., Gilmore, P. A., Trew, R. J., & Kelley, C. T. (1992). Yield optimization using a GaAs process simulator coupled to a physical device model. IEEE Transactions on Microwave Theory and Techniques, 40(7), 1353–1363. https://doi.org/10.1109/22.146318

Kelley, C. T., & Sachs, E. W. (1991). A New Proof of Superlinear Convergence for Broyden’s Method in Hilbert Space. SIAM Journal on Optimization, 1(1), 146–150. https://doi.org/10.1137/0801011

Woolard, D. L., Trew, R. J., Littlejohn, M. A., & Kelley, C. T. (1991). 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.

Winslow, T. A., Trew, R. J., Gilmore, P., & Kelley, C. T. (1991). 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.

Kelley, C. T., & Sachs, E. W. (1991). Fast Algorithms for Compact Fixed Point Problems with Inexact Function Evaluations. SIAM Journal on Scientific and Statistical Computing, 12(4), 725–742. https://doi.org/10.1137/0912038

Kelley, C. T., & Sachs, E. W. (1991). Mesh Independence of Newton-like Methods for Infinite Dimensional Problems. Journal of Integral Equations and Applications, 3(4), 549–573. https://doi.org/10.1216/jiea/1181075649

Kahaner, D. K., & Kelley, C. T. (1991). Observations on Computational Mathematics in {J}apan. ONRFE Scientific Information Bulletin, 16, 49–54.

Kelley, C. T., Sachs, E. W., & Watson, B. (1991). Pointwise quasi-Newton method for unconstrained optimal control problems, II. Journal of Optimization Theory and Applications, 71(3), 535–547. https://doi.org/10.1007/bf00941402

Kelley, C. T., & Wright, S. J. (1991). Sequential quadratic programming for certain parameter identification problems. Mathematical Programming, 51(1-3), 281–305. https://doi.org/10.1007/bf01586941

Winslow, T. A., Trew, R. J., Gilmore, P., & Kelley, C. T. (1991). Simulated Performance Optimization of {GaAs} {MESFET} Amplifiers. Proceedings IEEE/Cornell Conference on Advanced Concepts in High Speed Devices and Circuits, 393–402.

Stoneking, D. E., Bilbro, G. L., Trew, R. J., Gilmore, P., & Kelley, C. T. (1991). 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.

Kelley, C. T., & Sachs, E. W. (1990). Approximate quasi-Newton methods. Mathematical Programming, 48(1-3), 41–70. https://doi.org/10.1007/bf01582251

Kelley, C. T. (1990). 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.

Kelley, C. T., & Rulla, J. (1990). Solution of the time discretized Stefan problem by Newton's method. Nonlinear Analysis: Theory, Methods & Applications, 14(10), 851–872. https://doi.org/10.1016/0362-546x(90)90025-c

Kelley, C. T. (1989). A fast two-grid method for matrix H-equations. Transport Theory and Statistical Physics, 18(2), 185–203. https://doi.org/10.1080/00411458908204320

Kelley, C. T., & Sachs, E. W. (1989). A pointwise quasi-Newton method for unconstrained optimal control problems. Numerische Mathematik, 55(2), 159–176. https://doi.org/10.1007/bf01406512

Woolard, D. L., Pelourad, J.-L., Trew, R. J., Littlejohn, M. A., & Kelley, C. T. (1989). Hydrodynamic Hot Electron Transport Simulation based on the {M}onte {C}arlo Method. Solid-State Electronics, 32, 1347–1351.

Woolard, D. L., Pelouard, J.-L., Trew, R. J., Littlejohn, M. A., & Kelley, C. T. (1989). Hydrodynamic hot-electron transport simulation based on the Monte Carlo method. Solid-State Electronics, 32(12), 1347–1351. https://doi.org/10.1016/0038-1101(89)90238-4

Hwang, D. M., & Kelley, C. T. (1989). 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).

Kelley, C. T., & Northrup, J. I. (1988). A Pointwise Quasi-Newton Method for Integral Equations. SIAM Journal on Numerical Analysis, 25(5), 1138–1155. https://doi.org/10.1137/0725065

Clapp, T. G., Eberhardt, A. C., & Kelley, C. T. (1988). 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. https://doi.org/10.2346/1.2148796

Clapp, T. G., Kelley, C. T., & Eberhardt, A. C. (1988). 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.

Kelley, C. T. (1988). The FN method in slab geometries with a polynomial basis. Transport Theory and Statistical Physics, 17(2-3), 295–303. https://doi.org/10.1080/00411458808230869

Kelley, C. T. (1988). The {F_N} method in finite slabs with a polynomial basis. Trans. Th. Stat. Phys., 17, 295–303.

Kelley, C. T., & Sachs, E. W. (1987). A Quasi-Newton Method for Elliptic Boundary Value Problems. SIAM Journal on Numerical Analysis, 24(3), 516–531. https://doi.org/10.1137/0724037

Kelley, C. T. (1987). 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.

Kelley, C. T., & Sachs, E. W. (1987). 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.

Kelley, C. T., & Northrup, J. I. (1987). 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.

Kelley, C. T., & Sachs, E. W. (1987). Quasi-Newton Methods and Unconstrained Optimal Control Problems. SIAM Journal on Control and Optimization, 25(6), 1503–1516. https://doi.org/10.1137/0325083

Kelley, C. T. (1986). A Shamanskii-like acceleration scheme for nonlinear equations at singular roots. Mathematics of Computation, 47(176), 609–623.

Kelley, C. T. (1986). Convergence of the FN - method for multi-group transport. Transport Theory and Statistical Physics, 15(6-7), 821–828. https://doi.org/10.1080/00411458608212717

Kelley, C. T. (1986). Convergence of the {F_N} method for multi-group transport. Trans. Th. Stat. Phys., 15, 821–828.

Hollis, S. L., & Kelley, C. T. (1986). Vector algorithms for H-equations arising in radiative transfer through inhomogeneous media. Transport Theory and Statistical Physics, 15(1-2), 33–48. https://doi.org/10.1080/00411458608210443

Clapp, T. G., Kelley, C. T., & Eberhardt, A. C. (1985). 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.

Kelley, C. T., & Sachs, E. W. (1985). Broyden's method for approximate solution of nonlinear integral equations. Journal of Integral Equations, 9(1), 25–44.

Decker, D. W., & Kelley, C. T. (1985). Broyden’s Method for a Class of Problems Having Singular Jacobian at the Root. SIAM Journal on Numerical Analysis, 22(3), 566–574. https://doi.org/10.1137/0722034

Decker, D. W., & Kelley, C. T. (1985). Expanded Convergence Domains for Newton’s Method at Nearly Singular Roots. SIAM Journal on Scientific and Statistical Computing, 6(4), 951–966. https://doi.org/10.1137/0906064

Kelley, C. T., & Mullikin, T. W. (1985). Why does the -method work? Transport Theory and Statistical Physics, 14, 513–526.

Kelley, C. T., & Mullikin, T. W. (1985). Why does the {F_N}-Method work? Trans. Th. Stat. Phys., 14, 513–526.

Kelley, C. T. (1984). Applications of the method to transport calculations, Trans. Transport Theory and Statistical Physics, 13, 85–96.

Kelley, C. T. (1984). Applications of the {F_N} method to transport calculations. Trans. Th. Stat. Phys., 13, 85–96.

Kelley, C. T., & Suresh, R. (1983). A New Acceleration Method for Newton’s Method at Singular Points. SIAM Journal on Numerical Analysis, 20(5), 1001–1009. https://doi.org/10.1137/0720070

Decker, D. W., Keller, H. B., & Kelley, C. T. (1983). Convergence Rates for Newton’s Method at Singular Points. SIAM Journal on Numerical Analysis, 20(2), 296–314. https://doi.org/10.1137/0720020

Kelley, C. T. (1983). Convergence of the method for exponential atmospheres. Transport Theory and Statistical Physics, 12, 183–194.

Kelley, C. T. (1983). Convergence of the {F_N} method for exponential atmospheres. Trans. Th. Stat. Phys., 12, 183–194.

Kelley, C. T. (1983). Energy dependent radiative transfer in inhomogeneous slabs. Journal of Integral Equations, 5, 33–48.

Decker, D. W., & Kelley, C. T. (1983). Sublinear convergence of the Chord method at singular points. Numerische Mathematik, 42(2), 147–154. https://doi.org/10.1007/bf01395307

Kelley, C. T. (1982). Approximate methods for the solution of the Chandrasekhar H‐equation. Journal of Mathematical Physics, 23(11), 2097–2100. https://doi.org/10.1063/1.525251

Kelley, C. T. (1982). Approximation of solutions to some quadratic integral equations in transport theory. Journal of Integral Equations, 4, 221–237.

Kelley, C. T., & Mullikin, T. W. (1982). Collocation methods for some singular integral equations in linear transport theory. Journal of Integral Equations, 4, 77–88.

Decker, D. W., & Kelley, C. T. (1982). Convergence Acceleration for Newton’s Method at Singular Points. SIAM Journal on Numerical Analysis, 19(1), 219–229. https://doi.org/10.1137/0719012

Kelley, C. T. (1981). 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. https://doi.org/10.1016/0021-9045(81)90068-x

Siewert, C. E., Kelley, C. T., & Garcia, R. D. M. (1981). An analytical expression for the H matrix relevant to Rayleigh scattering. Journal of Mathematical Analysis and Applications, 84(2), 509–518. https://doi.org/10.1016/0022-247x(81)90183-9

Kelley, C. T. (1981). Approximate methods for exit distribution problems in inhomogeneous slabs. Progress in Nuclear Energy, 8(2-3), 227–234. https://doi.org/10.1016/0149-1970(81)90017-2

Kelley, C. T. (1981). Multi-group neutron transport in inhomogeneous slabs. Journal of Integral Equations, 3, 261–275.

Kelley, C. T. (1980). A comparison of iteration schemes for Chandrasekhar H‐equations in multigroup neutron transport. Journal of Mathematical Physics, 21(2), 408–409. https://doi.org/10.1063/1.524430

Siewert, C. E., & Kelley, C. T. (1980). An analytical solution to a matrix Riemann-Hilbert problem. Zeitschrift Für Angewandte Mathematik Und Physik ZAMP, 31(3), 344–351. https://doi.org/10.1007/bf01590661

Decker, D. W., & Kelley, C. T. (1980). Newton's method at singular points {II}. SIAM J. Numer. Anal., 17, 465–471.

Decker, D. W., & Kelley, C. T. (1980). Newton's method at singular points {I}. SIAM J. Numer. Anal., 17, 66–70.

Decker, D. W., & Kelley, C. T. (1980). Newton’s Method at Singular Points. I. SIAM Journal on Numerical Analysis, 17(1), 66–70. https://doi.org/10.1137/0717009

Decker, D. W., & Kelley, C. T. (1980). Newton’s Method at Singular Points. II. SIAM Journal on Numerical Analysis, 17(3), 465–471. https://doi.org/10.1137/0717039

Kelley, C. T. (1980). Solution of the Chandrasekhar H‐equation by Newton’s Method. Journal of Mathematical Physics, 21(7), 1625–1628. https://doi.org/10.1063/1.524647

Kelley, C. T. (1980). The Chandrasekhar H-equation for radiative transfer through inhomogeneous media. Journal of Integral Equations, 2, 155–170.

Berger, M. A., & Kelley, C. T. (1979). A variational equivalent to diagonal scaling. Journal of Mathematical Analysis and Applications, 72(1), 291–304. https://doi.org/10.1016/0022-247x(79)90290-7

Kelley, C. T. (1979). Operator-valued Chandrasekhar H-functions. Journal of Mathematical Analysis and Applications, 70, 579–588.

Kelley, C. T. (1979). Solution of H-Equations by Iteration. SIAM Journal on Mathematical Analysis, 10(4), 844–849. https://doi.org/10.1137/0510080

Kelley, C. T. (1978). Analytic continuation of an operator‐valued H‐function with applications to neutron transport theory. Journal of Mathematical Physics, 19(2), 494–499. https://doi.org/10.1063/1.523672

Kelley, C. T., & Mullikin, T. W. (1978). Solution by iteration of H‐equations in multigroup neutron transport. Journal of Mathematical Physics, 19(2), 500–501. https://doi.org/10.1063/1.523673

Kelley, C. T. (1977). Convolution and H‐equations for operator‐valued functions with applications to neutron transport theory. Journal of Mathematical Physics, 18(4), 764–769. https://doi.org/10.1063/1.523305