Books
C. T. Kelley, Solving Nonlinear Equations with Newton's Method number 1 in Fundamental Algorithms for Numerical Calculations, SIAM, Philadelphia, 2003.
C. T. Kelley,
Iterative Methods for Optimization ,
number 18 in Frontiers in Applied Mathematics, SIAM, Philadelphia, 1999.
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C. T. Kelley,
Iterative Methods for Linear and Nonlinear
Equations,
number 16 in Frontiers in Applied Mathematics, SIAM, Philadelphia, 1995.
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Journal Publications
C. T. Kelley and L-Z. Liao,
Explicit Pseudo-Transient Continuation ,
Pacific Journal of Optimzation, 9 (2013), 77-91.
L. M. Ellwein, S. R. Pope, A. Xie, J. Batzel, C. T. Kelley, and M. S.
Olufsen,
Patient specific modeling of cardiovascular and respiratory
dynamics during hypercapnia.
Math Biosci, 241, 2013, 56-74.
C. T. Miller, C. N. Dawson, M. W. Farthing, T. Y. Hou, J. Huang, C. E.
Kees, C. T. Kelley, and H. P. Langtangen,
Numerical simulation of water resources problems: Models, methods, and
trends,
Advances in Water Resources, 51 (2012), 403-437.
C. T. Kelley and D. Mokrauer,
Sparse interpolatory reduced-order models for simulation of
light-induced molecular transformations ,
Optimization Methods and Software, 2012,
doi=10.3182/20090812-3-DK-2006.0088
David Mokrauer, C. T. Kelley, and Alexei Bykhovski,
Simulations of Light-Induced Molecular Transformations
in Multiple Dimensions with Incremental Sparse Surrogates
J. Algorithms and Computational Technology, 6 (2012), 577-592.
C. Winton, J. Pettway, C. T. Kelley, S. E Howington, and O. J. Eslinger,
Application of Proper Orthogonal Decomposition
(POD) to Inverse Problems in Saturated Groundwater
Flow, Advances in Water Resources, 34, 2011, 1519-1526.
I. C. F. Ipsen and C. T. Kelley and S. R. Pope, Nonlinear Least Squares Problems and Subset Selection, SIAM J. Numer. Anal, 49, 2011, 1244-1266.
David Mokrauer, C. T. Kelley, and Alexei Bykhovski, Efficient Parallel Computation of Molecular Potential Surfaces for Optimization, 2010, IEEE Transactions on Nanotechnology, 10, 2011, 70-74.
C. T. Kelley, L. Qi, X. Tong, and H. Yin.
Finding A Stable Solution of A System of Nonlinear Equations
Journal of Industrial and Management Optimization,
7, 2011, 497-521.
Anne S. Costolanski and C. T. Kelley, Efficient Solution of the Wigner-Poisson Equation for Modeling Resonant Tunneling Diodes, 2010, IEEE Transactions on Nanotechnology, 9, 2010, 708-715.
G. W. Characklis, B. R. Kirsch, J. Ramsey,
K. E. M. Dillard, and C. T. Kelley,
More Efficient Optimization of Long-Term Water Supply Portfolios
Water Resources Research, 45, 2009, W03414-1 - W03414-12.
M. Gee, C. T. Kelley, and R. B. Lehoucq,
Pseudo-Transient Continuation for Nonlinear Transient Elasticity
International Journal for Numerical Methods in Engineering,
78, 2009, 1209-1219.
D. E. Finkel and C. T. Kelley,
Convergence Analysis of Sampling Methods for Perturbed Lipschitz
Functions
Pacific Journal of Optimization, 5, 2009, 339-350.
X-L Luo, C. T. Kelley, L-Z. Liao, and H-W Tam,
Combining Trust Region Techniques and Rosenbrock Methods for
Gradient Systems
JOTA, 140, 2009, 265--286.
S. R. Pope, L. M. Ellwein, C. I. Zapata, V. Novak,
C. T. Kelley, and M. S. Olufsen,
Estimation and identification of parameters in a lumped
cerebrovascular model,
Math. Biosci. Eng., 6, 2008, 93--115.
L-H. Zhang, C. T. Kelley, and L.-Z. Liao, 2007,
A continuous Newton-type method for unconstrained optimization
Pacific J. Opt., 4, 2008, 259-277.
M. Marucho, C. T. Kelley, and B. M. Pettitt,
Solutions of the optimized closure integral equation theory:
heteronuclear polyatomic fluids,
J. Chem. Th. Comp, 4, 2008, 385--396.
K. R. Fowler, J. P. Reese, C. E. Kees, J. E. Dennis, C. T. Kelley, C. T.
Miller, C. Audet, A. J. Booker,
G. Couture, R. W. Darwin, M. W. Farthing,
D. E. Finkel, J. M. Gablonsky, G. Gray, and T. G. Kolda
A Comparison of Derivative-Free Optimization Methods
for Groundwater Supply and Hydraulic Capture Problems,
Advances in Water Resources, 31, 2008, 743-757.
C. T. Kelley,
L-Z. Liao,
L. Qi,
M. T. Chu,
J. P. Reese, and C. Winton,
Projected Pseudo-Transient Continuation,
SIAM J. Numer. Anal., 46, 2008, 3071-3083.
K. I. Dickson, C. T. Kelley,
I. C. F. Ipsen, and I. G. Kevrekidis,
Condition Estimates for Pseudo-Arclength Continuation,
SIAM J. Numer. Anal. 45 (2007), 263-276.
M. S. Lasater, C. T. Kelley, A. Salinger,
D. L. Woolard, G. Recine, and P. Zhao,
Analysis of
A Scalable Preconditioner for the Wigner-Poisson Equation
Int J. Pure Appl Math., 37 (2007), 247-270.
L. Qiao, R. Erban, C. T. Kelley, and I. G. Kevrekidis,
Spatially distributed stochastic systems: equation free and equation
assisted preconditioned computation,
J. Chem. Phys, 125 (2006), paper 204108, 8 pages.
D. E. Finkel and C. T. Kelley,
Additive Scaling and the DIRECT Algorithm,
Journal of Global Optimization, 36 (2006) 597-608.
M. S. Lasater, C. T. Kelley, A. Salinger,
D. L. Woolard, and P. Zhao,
Parallel Parameter Study of the Wigner-Poisson Equations for RTDs
Computers and Mathematics with Applications, 51 (2006), 1677--1688.
G. W. Characklis, B. R. Kirsch, J. Ramsey,
K. E. M. Dillard, and C. T. Kelley,
Developing Portfolios of Water Supply Transfers
Water Resources Research, (42) 2006, 14 pages
K. R. Kavanagh and C. T. Kelley,
Pseudo-transient Continuation for Nonsmooth Nonlinear Equations,
SIAM J. Numer. Anal., (43) 2005, 1385-1406.
K. R. Kavanagh, C. T. Kelley, C. T. Miller,
C. E. Kees, Robert W. Darwin, J. P. Reese, M. W. Farthing, and
Mark S. C. Reed,
Solution of a Well-Field Design Problem with Implicit Filtering
Optimization and Engineering, (5), 2004, 207-234.
C. T. Kelley and B. Montgomery Pettitt,
A Fast Algorithm for the Ornstein-Zernike Equations,
Journal of Computational Physics, (197), 2004, 491--501.
T. Coffey, C. T. Kelley, and D. E. Keyes,
Pseudo-Transient Continuation and Differential-Algebraic Equations,
SIAM J. Sci. Comp. (25), 2003, 553--569.
M. W. Farthing, C. E. Kees, T. Coffey, C. T. Kelley,
and C. T. Miller,
Efficient Steady-State Solution Techniques for Variably
Saturated Groundwater Flow,
Advances in Water Resources, 26, 2003, 833-849.
C. E. Kees, C. T. Miller, E. W. Jenkins, and C. T. Kelley,
Versatile Multilevel Schwarz Preconditioners for Multiphase Flow
Comp. Geo, 7, 2003, 91-114.
T. S. Coffey, R. J. McMullan, C. T. Kelley, and D. S. McRae,
Globally Convergent Algorithms for Nonsmooth Nonlinear Equations
in Computational Fluid Dynamics
J. Comp. Appl. Math., 152, 2003, 69-81.
C. T. Kelley and E. W. Sachs,
Truncated Newton Methods for Optimization
with Inaccurate Functions and Gradients
JOTA, 116, 2003, 83-98.
J. F. Kanney, C. T. Miller, and C. T. Kelley,
Convergence of Iterative Split Operator Approaches for
Approximating Nonlinear Reactive Transport Problems
Advances in Water Resources, 26, 2003, 247-261.
A. S. Mayer, C. T. Kelley, and C. T. Miller,
Optimal Design for Problems Involving Flow and Transport
Phenomena in Subsurface Systems
Advances in Water Resources, 12, 2002, pp 1233-1256.
A. Battermann, J. M. Gablonsky, A. Patrick,
C. T. Kelley, T. Coffey, K. Kavanagh, and C. T. Miller,
Solution of A Groundwater Control Problem with Implicit Filtering,
Optimization and Engineering, (3), 2002, 189-199.
R. Carter, J. M. Gablonsky, A. Patrick, C. T. Kelley, and O. J. Eslinger,
Algorithms for Noisy Problems in Gas Transmission Pipeline Optimization
Optimization and Engineering, (2), 2001, 139-157.
J. M. Gablonsky and C. T. Kelley,
A Locally-Biased form of the DIRECT Algorithm
Journal of Global Optimization, (21), 2001, 27--37.
E. W. Jenkins, C. T. Kelley, C. T. Miller, and C. E. Kees,
An Aggregation-based
Domain Decomposition Preconditioner for Groundwater Flow
SIAM J. Sci. Comp., (23), 2001, 430-441.
P. A. Gremaud, C. T. Kelley, T. A. Royal, and K. A. Coffey,
On a Powder Consolodation Problem
SIAM J. Appl. Math., (62), 2001, 1-20.
T. D. Choi, O. J. Eslinger, C. T. Kelley, J. W. David, and M. Etheridge,
Optimization of Automotive Valve Train Components with Implict
Filtering,
Optimization and Engineering. (1), 2000, 9-28.
T. D. Choi and C. T. Kelley,
Superlinear Convergence and Implicit Filtering
SIAM J. on Optimization, (10), 2000, 1149-1162.
W. R. Ferng and C. T. Kelley,
Mesh independence of matrix-free methods for path following
SIAM J. Sci. Comp., (21), 2000, 1835--1850.
G. A. Williams, C. T. Miller, and C. T. Kelley, Transformation Approaches for Simulating Flow in Variably Saturated Porous Media, Water Resources Research, (36), 2000, 923-934.
C. T. Kelley,
Detection and Remediation of Stagnation in the Nelder-Mead
Algorithm Using a Sufficient Decrease Condition
SIAM J. Opt., (10), 1999, 43-55.
C. T. Kelley and E. W. Sachs, A trust region method for parabolic boundary control problems SIAM J. Opt., (9), 1999, 1064-1081.
T. D. Choi and C. T. Kelley, Estimates for the Nash-Sofer Preconditioner for the Reduced Hessian for Some Elliptic Variational Inequalities SIAM J. Opt., (9), 1999, 327-341.
J. M. Banoczi and C. T. Kelley, A Fast Multilevel Algorithm for the Solution of Nonlinear Systems of Conductive-Radiative Heat Transfer Equations in Two Space Dimensions, SIAM J. Sci. Comp., (20), 1999, 1214--1228.
M. D. Tocci, C. T. Kelley, C. T. Miller, and C. E. Kees,
Inexact Newton methods and the method of lines for solving
Richards' equation in two space dimensions,
Computational Geosciences, (2), 1998, 291-310.
C. T. Miller, G. A. Williams, C. T. Kelley and M. D. Tocci, Robust Solution of Richards' Equation for Non-Uniform Porous Media, Water Resources Research, (34) 1998, 2599-2610.
C. T. Kelley and D. E. Keyes. Convergence analysis of pseudo-transient continuation. SIAM J. Numer. Anal, (35) 1998, 508-523.
J. M. Banoczi and C. T. Kelley, A Fast Multilevel Algorithm for the Solution of Nonlinear Systems of Conductive-Radiative Heat Transfer Equations, SIAM J. Sci. Comp., (19), 1998, 266-279.
C. T. Kelley, M. D. Tocci, and C. T. Miller, Termination of Newton/Chord Iterations and the Method of Lines, SIAM J. Sci. Comp., (19), 1998, 280-290.
C. T. Kelley and E. W. Sachs, Local Convergence of the Symmetric Rank-One Iteration, Computational Optimization and Applications, (9), 1998, 43-63.
M. D. Tocci, C. T. Kelley, and C. T. Miller, Accurate and economical solution of the pressure head form of Richards' equation by the method of lines, Advances in Water Resources, 20 (1997), pp. 1--14.
S. L. Campbell, I. C. F. Ipsen, C. T. Kelley, and C. D. Meyer, GMRES and the minimal polynomial, BIT, 36 (1996), pp. 664--675.
C. T. Kelley, Existence and uniqueness of solutions of nonlinear systems of conductive-radiative heat transfer equations, Trans. Th. Stat. Phys., 25 (1996), pp. 249--260.
S. L. Campbell, I. C. F. Ipsen, C. T. Kelley, C. D. Meyer, and Z. Q. Xue, Convergence estimates for solution of integral equations with GMRES , Journal of Integral Equations and Applications, 8 (1996), pp. 19--34.
C. T. Kelley and Z. Q. Xue, GMRES and integral operators, SIAM J. on Sci. Comput., 17 (1996), pp. 217--226.
C. T. Kelley and E. W. Sachs, Solution of optimal control problems by a pointwise projected Newton method , SIAM J. Control and Optimization, 33 (1995), pp. 1731--1757.
P. Gilmore and C. T. Kelley, An implicit filtering algorithm for optimization of functions with many local minima, SIAM J. Optim., 5 (1995), pp. 269--285.
C. T. Kelley, A fast multilevel algorithm for integral equations, SIAM J. Numer. Anal., 32 (1995), pp. 501--513.
C. T. Kelley, Multilevel source iteration accelerators for the linear transport equation in slab geometry, Trans. Th. Stat. Phys., 24 (1995), pp. 679--708.
S. Ito, C. T. Kelley, and E. W. Sachs, Inexact primal-dual interior point iteration for linear programs in function spaces , Computational Optimization and Applications, 4 (1995), pp. 189--202.
C. T. Kelley and E. W. Sachs, Multilevel algorithms for constrained compact fixed point problems, SIAM J. on Sci. Comput., 15 (1994), pp. 645--667.
C. T. Kelley and Z. Q. Xue, Inexact Newton methods for singular problems, Optimization Methods and Software, 2 (1993), pp. 249--267.
C. T. Kelley and J. I. Northrup, A fast multi-level method for the fixed point form of matrix H-equations, Trans. Th. Stat. Phys., 22 (1993), pp. 533--547.
B. D. GANAPOL, C. T. Kelley, and G. C. POMRANING, Asymptotically exact boundary conditions for the P-N equations, Nuclear Science and Engineering, 114 (1993), pp. 12--19.
C. T. Kelley and E. W. Sachs, Pointwise Broyden methods, SIAM J. Optim., 3 (1993), pp. 423--441.
C. T. Kelley and L. Mukundan, Convergence analysis for the harmonic balance method, Journal of Nonlinear Analysis, Theory Methods and Applications, 20 (1993), pp. 365--380.
C. T. Kelley, Adaptive integral equation methods in transport theory, Nuclear Science and Engineering, 112 (1992), pp. 361--368.
M. Heinkenschloß, C. T. Kelley, and H. T. Tran, Fast algorithms for nonsmooth compact fixed point problems, SIAM J. Numer. Anal., 29 (1992), pp. 1769--1792.
D. M. Hwang and C. T. Kelley, Convergence of Broyden's method in Banach spaces, SIAM J. Optim., 2 (1992), pp. 505--532.
D. Stoneking, G. Bilbro, R. Trew, P. Gilmore, and C. T. Kelley, Yield optimization using a GaAs process simulator coupled to a physical device model, IEEE Transactions on Microwave Theory and Techniques, 40 (1992), pp. 1353--1363.
C. T. Kelley and E. W. Sachs, Mesh independence of the gradient projection method for optimal control problems, SIAM J. Control and Optimization, 30 (1992), pp. 477--493.
C. T. Kelley and E. W. Sachs, Mesh independence of Newton-like methods for infinite dimensional problems, Journal of Integral Equations and Applications, 3 (1991), pp. 549--573.
C. T. Kelley, E. W. Sachs, and B. Watson, A pointwise quasi-Newton method for unconstrained optimal control problems, II, J. Optim. Theory Appl., 71 (1991), pp. 535--547.
C. T. Kelley and S. J. Wright, Sequential quadratic programming for certain parameter identification problems, Math. Programming ser. A, 51 (1991), pp. 281--305.
C. T. Kelley and E. W. Sachs, Fast algorithms for compact fixed point problems with inexact function evaluations, SIAM J. Sci. Statist. Comput., 12 (1991), pp. 725--742.
C. T. Kelley and E. W. Sachs, A new proof of superlinear convergence for Broyden's method in Hilbert space, SIAM J. Optim., 1 (1991), pp. 146--150.
C. T. Kelley and J. Rulla, Solution of the time discretized Stefan problem by Newton's method, Journal of Nonlinear Analysis, Theory Methods and Applications, 14 (1990), pp. 851--872.
C. T. Kelley and E. W. Sachs, Approximate quasi-Newton methods, Mathematical Programming, ser. B, 48 (1990), pp. 41--70.
D. L. Woolard, J.-L. Pelourad, R. J. Trew, M. A. Littlejohn, and C. T. Kelley, Hydrodynamic hot electron transport simulation based on the Monte Carlo method, Solid-State Electronics, 32 (1989), pp. 1347--1351.
C. T. Kelley, A fast two-grid method for matrix H-equations, Trans. Th. Stat. Phys., 18 (1989), pp. 185--204.
C. T. Kelley and E. W. Sachs, A pointwise quasi-Newton method for unconstrained optimal control problems, Numer. Math., 55 (1989), pp. 159--176.
C. T. Kelley and J. I. Northrup, A pointwise quasi-Newton method for integral equations, SIAM J. Numer. Anal., 25 (1988), pp. 1138--1155.
C. T. Kelley, The method in finite slabs with a polynomial basis, Trans. Th. Stat. Phys., 17 (1988), pp. 295--303.
T. G. Clapp, C. T. Kelley, and A. C. Eberhardt, Development and validation of a method for approximation of road surface texture-induced contact pressure in tire/pavement interaction, Tire Science and Technology, 16 (1988), pp. 2--17.
C. T. Kelley and E. W. Sachs, Quasi-Newton methods and unconstrained optimal control problems, SIAM J. Control and Optimization, 25 (1987), pp. 1503--1517.
C. T. Kelley and E. W. Sachs, A quasi-Newton method for elliptic boundary value problems, SIAM J. Numer. Anal., 24 (1987), pp. 516--531.
C. T. Kelley, Convergence of the method for multi-group transport, Trans. Th. Stat. Phys., 15 (1986), pp. 821--828.
C. T. Kelley, A Shamanskii-like acceleration scheme for nonlinear equations at singular roots, Math. Comp., 47 (1986), pp. 609--623.
S. L. Hollis and C. T. Kelley, Vector algorithms for H-equations arising in radiative transfer through inhomogeneous media, Trans. Th. Stat. Phys., 15 (1986), pp. 33--48.
C. T. Kelley and T. W. Mullikin, Why does the -method work?, Trans. Th. Stat. Phys., 14 (1985), pp. 513--526.
C. T. Kelley and E. W. Sachs, Broyden's method for approximate solution of nonlinear integral equations, J. Integral Eqs., 9 (1985), pp. 25--44.
D. W. Decker and C. T. Kelley, Broyden's method for a class of problems having singular Jacobian at the root, SIAM J. Numer. Anal., 22 (1985), pp. 566--574.
D. W. Decker and C. T. Kelley, Expanded convergence domains for Newton's method at nearly singular roots, SIAM J. Sci. Stat. Comp., 6 (1985), pp. 951--966.
C. T. Kelley, Applications of the method to transport calculations, Trans. Th. Stat. Phys., 13 (1984), pp. 85--96.
C. T. Kelley, Convergence of the method for exponential atmospheres, Trans. Th. Stat. Phys., 12 (1983), pp. 183--194.
C. T. Kelley and R. Suresh, A new acceleration method for Newton's method at singular points, SIAM J. Numer. Anal., 20 (1983), pp. 1001--1009.
D. W. Decker and C. T. Kelley, Sublinear convergence of the chord method at singular points, Numer. Math., 42 (1983), pp. 147--154.
D. W. Decker, H. B. Keller, and C. T. Kelley, Convergence rates for Newton's method at singular points, SIAM J. Numer. Anal., 20 (1983), pp. 296--314.
C. T. Kelley, Energy dependent radiative transfer in inhomogeneous slabs, J. Integral Eqs., 5 (1983), pp. 33--48.
C. T. Kelley, Approximate methods for the solution of the Chandrasekhar H-equation, J. Math. Phys., 23 (1982), pp. 2097--2100.
C. T. Kelley, Approximation of solutions to some quadratic integral equations in transport theory, J. Integral Eqs., 4 (1982), pp. 221--237.
C. T. Kelley and T. W. Mullikin, Collocation methods for some singular integral equations in linear transport theory, J. Integral Eqs., 4 (1982), pp. 77--88.
D. W. Decker and C. T. Kelley, Convergence acceleration for Newton's method at singular points, SIAM J. Numer. Anal., 19 (1982), pp. 219--229.
C. T. Kelley, Approximate methods for exit distribution problems in inhomogeneous slabs, Progress in Nuclear Energy, 8 (1981), pp. 227--234.
C. T. Kelley, Multi-group neutron transport in inhomogeneous slabs, J. Integral Eqs., 3 (1981), pp. 261--275.
C. E. Siewert, C. T. Kelley, and R. D. M. Garica, An analytical expression for the H-matrix relevant to Rayleigh scattering, J. Math. Anal. Appl., 84 (1981), pp. 509--518.
C. T. Kelley, A note on the approximation of functions of several variables by sums of functions of one variable, J. Approx. Th., 33 (1981), pp. 179--189.
C. T. Kelley, Solution of the Chandrasekhar H-equation by Newton's method, J. Math. Phys., 21 (1980), pp. 1625--1628.
C. E. Siewert and C. T. Kelley, An analytical solution to a matrix Riemann-Hilbert problem, ZAMP, 31 (1980), pp. 344--351.
D. W. Decker and C. T. Kelley, Newton's method at singular points II, SIAM J. Numer. Anal., 17 (1980), pp. 465--471.
D. W. Decker and C. T. Kelley, Newton's method at singular points I, SIAM J. Numer. Anal., 17 (1980), pp. 66--70.
C. T. Kelley, The Chandrasekhar H-equation for radiative transfer through inhomogeneous media, J. Integral Eqs., 2 (1980), pp. 155--170.
C. T. Kelley, A comparison of iteration schemes for Chandrasekhar H-equations in multigroup neutron transport, J. Math. Phys., 21 (1980), pp. 408--409.
M. A. Berger and C. T. Kelley, A variational equivalent to diagonal scaling, J. Math. Anal. Appl., 72 (1979), pp. 291--304.
C. T. Kelley, Solution of H-equations by iteration, SIAM J. Math. Anal., 10 (1979), pp. 844--849.
C. T. Kelley, Operator-valued Chandrasekhar H-functions, J. Math. Anal. Appl., 70 (1979), pp. 579--588.
C. T. Kelley and T. W. Mullikin, Solution by iteration of H-equations in multigroup neutron transport, J. Math. Phys., 19 (1978), pp. 500--501.
C. T. Kelley, Analytic continuation of an operator-valued H-function with applications to neutron transport theory, J. Math. Phys., 19 (1978), pp. 494--499.
C. T. Kelley, Convolution and H-equations for operator-valued functions with applications to neutron transport theory, J. Math. Phys., 18 (1977), pp. 764--769.