** Journal Publications**

C. T. Kelley,
*
Newton's Method in Mixed Precision
*

SIAM Review, 64 (2022), pp. 191-211.
doi:10.1137/20M1342902

Z. Morrow, H-Y. Kwon, C. T. Kelley, and E. Jakubikova
*
Efficient Approximation of Potential Energy Surfaces with
Mixed-Basis Interpolation
*,

J. Chem. Th. Comput. (2021)
doi:10.1021/acs.jctc.1c00569

Z. Morrow, H-Y. Kwon, C. T. Kelley, and E. Jakubikova
*
Reduced-dimensional surface hopping with offline–online computations
*,

Phys Chem Chem Phys (2021)
doi:10.1039/D1CP03446D

H-Y. Kwon, Z. Morrow, E. Jakubikova, and C. T. Kelley
*
Interpolation Methods for Molecular Potential Energy Surface
Construction
*,

J. Phys. Chem. A (2021)
doi:10.1021/acs.jpca.1c06812

W. Bian and X. Chen and C. T. Kelley
Anderson Acceleration for a Class of Nonsmooth
Fixed-Point Problems

SIAM J. Sci. Comp., (2021)
doi:10.1137/20M132938X

C. T. Kelley, J. Bernholc, E. Briggs, S. P. Hamilton,
L. Lin and C. Yang
*
Mesh-Independence of the Generalized Davidson Algorithm
*

J. Comp. Phys., 409 (2020),
doi:10.1016/j.jcp.2020.109322

Z. Morrow, C. Liu, C. T. Kelley, and E. Jakubikova,
*
Approximating potential energy surfaces with sparse
trigonometric interpolation,
*

J. Phys. Chem. B, 123 (2019), pp. 9677-9684.
doi:10.1021/acs.jpcb.9b08210

J. A. Ellis, T. Evans, S. Hamilton, C. T. Kelley,
and T. M. Pandya
*
Optimization of processor allocation for domain
decomposed Monte Carlo calculations
*

J. Parallel Comp., 87 (2019), pp. 77-96.
doi:10.1016/j.parco.2019.06.001

C. Liu, C. T. Kelley, and E. Jakubikova
*
Molecular dynamics simulations on relaxed reduced-dimensional
potential energy surfaces
*

J. Chem. Th. and Comp. doi:10.1021/acs.jpca.9b02298
Published online May 16, 2019.

X. Chen and C. T. Kelley,
* Analysis of the EDIIS Algorithm *

SIAM J. Sci. Comp., 41 (2019), pp. A365-A379.
doi:10.1137/18M1171084

X. Chen, C. T. Kelley, F. Xu, and Z. Zhang,
* A smoothing direct search method for Monte Carlo-based constrained
nonsmooth nonconvex optimization*,

SIAM J. Sci. Comp., 40 (2018), pp. A2174– A2199. doi:10.1137/17M1116714.

C. T. Kelley,
*Numerical methods for nonlinear equations,*

Acta Numerica, 27 (2018), pp. 207–287. doi:10.1017/S0962492917000113.

T.M. Weigand, P.B. Schultz, D.H. Giffen,
M.W. Farthing, A. Crockett, C.T. Kelley, W.G. Gray,
and C.T. Miller,
*
Modeling Non-Dilute Species Transport Using
the Thermodynamically Constrained Averaging Theory
*

Water Resources Research, 54 (2019), pp. 6656-6682.
doi:10.1029/2017WR022471

A. Toth, J. A. Ellis, T. Evans, S. Hamilton, C. T. Kelley,
R. Pawlowski, and S. Slattery,
*
Local improvement results for Anderson acceleration with inaccurate
function evaluations,*

SIAM J. Sci. Comp., 39 (2017), pp. S47-S65. doi:10.1137/16M1080677.

X. Chen and C. T. Kelley,
*Optimization with hidden constraints and embedded Monte Carlo
computations,*

Optimization and Engineering, 17 (2016), pp. 157–175.
doi:10.1007/s11081-015-9302- 1.

J. Nance, D. Bowman, S. Mukherjee, C. T. Kelley, and E. Jakubikova,
*New insights into the spin-state transitions in [Fe(tpy) ] +:
Importance of the terpyridine rocking motion*

,
Inorganic
Chemistry, 54 (2015), pp. 11259–11268. doi:10.1021/acs.inorgchem.5b01747.

E. J. Wyers and M. A. Morton and G. Soller and C. T. Kelley
and P. D. Franzon,
*A Generally Applicable Calibration Algorithm for Digitally
Reconfigurable Self-Healing RFICs*

IEEE Trans on VLSI Systems, 24 (2016), pp. 1151–1164.
doi:10.1109/TVLSI.2015.2424211.

J. Nance and C. T. Kelley,
* A Sparse Interpolation Algorithm for Dynamical Simulations in
Computational Chemistry*,

SIAM J. Sci. Comp, 27 (2015) pp. S237-S156. doi:10.1137/140965284.

A. Toth and C. T. Kelley,
* Convergence Analysis for Anderson Acceleration*

SIAM J. Numer. Anal, 53 (2015), pp 805-819.

J. Nance, E. Jakubikova, and C. T. Kelley,
* Reaction Path Following with Sparse Interpolation*

J. Chem. Th. Comp. 2014.
Online publication 7/12/2014, doi=10.1021/ct5004669.

O. J. Eslinger, C. Winton, J. Jerrell R. Ballard, S. E. Howington,
A. Fregosi, K. Ward, and C. T. Kelley,

* Estimating sampling distributions of apparent thermal
diffusivity for partially saturated soils *

IEEE Trans. Geosci. Remote Sensing, 15 (2014)

Z. Hu, R. Smith, J. Willert, and C. T. Kelley,
* HDMR applied to the 1-D, Single Speed Neutron Transport k-Eigenvalue
Problem*,

Nuclear Sci Eng., 177 (2014), pp 1-11.

J. Willert, C. T. Kelley, D. Knoll, and H. K. Park,
*
A Hybrid Deterministic/Monte Carlo Method for Solving the k-Eigenvalue Problem with a Comparison to Analog Monte Carlo Solutions *

J. Comp. Th. Transport, Published online 8/22/14.

J. Willert, C. T. Kelley, D. Knoll, and H. K. Park,
*
Hybrid Deterministic/Monte Carlo Neutronics*,

SIAM, J. Sci. Comp., 35 (2014), pp S62-S83.

E. J. Wyers, M. B. Steer, C. T. Kelley, and P. D. Franzon,
* A Bounded and Discretized Nelder-Mead Algorithm Suitable for
RFIC Calibration*,

IEEE Trans Cir Sys, 60 (2013), pp 1787-1799.

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.

Last modified: July 29, 2008. C. T. Kelley , Tim_Kelley@ncsu.edu