C.T. Kelley

• Nonlinear Equations
• Large Scale Optimization
• Optimization for Noisy Problems
• Multilevel Methods
• Integral Equations

• Design Optimization

Microwave Semiconductor Devices
High Performance Automotive Valve Trains
• Groundwater Flow
• Optimal Control
• Radiative Transport

C. T. Kelley, Iterative Methods for Optimization , number 18 in Frontiers in Applied Mathematics, SIAM, Philadelphia, 1999.

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.

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Dr. Kelley is a member of the NCSU Numerical Analysis group.

 If you would like to contact him, he maintains his own personal home page and can be reached at

Tim_Kelley@ncsu.edu



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CRSC Technical Reports

• CRSC-TR92-13

MULTILEVEL ALGORITHMS FOR CONSTRAINED COMPACT FIXED POINT PROBLEMS

C.T. Kelley and E.W. Sachs

November, 1992

• CRSC-TR92-14

INEXACT NEWTON METHODS FOR SINGULAR PROBLEMS

C.T. Kelley and Z. Xue

November, 1992

• CRSC-TR92-15

ASYMPTOTICALLY EXACT BOUNDARY CONDITIONS FOR THE P_n EQUATIONS

B.D. Ganapol, C.T. Kelley and G.C. Pomraning

November, 1992

• CRSC-TR92-22

AN IMPLICIT FILTERING ALGORITHM FOR OPTIMIZATION OF FUNCTIONS WITH MANY LOCAL MINIMA

P. Gilmore and C.T. Kelley

December, 1992

• CRSC-TR93-5

MULTILEVEL SOURCE ITERATION ACCLERATORS FOR THE LINEAR TRANSPORT EQUATION IN SLAB GEOMETRY

C.T. Kelley

April, 1993

• CRSC-TR93-12

A FAST MULTILEVEL ALGORITHM FOR INTEGRAL EQUATIONS

C.T. Kelley

July, 1993

• CRSC-TR93-13

SOLUTION OF OPTIMAL CONTROL PROBLEMS BY A POINTWISE PROJECTED NEWTON METHOD

C.T. Kelley and E.W. Sachs

July, 1993

• CRSC-TR94-6

A NEW INCREMENTAL STORAGE IMPLEMENTATION OF BROYDEN'S METHOD

C.T. Kelley

April, 1994

• CRSC-TR94-7

GMRES AND INTEGRAL OPERATORS

C.T. Kelley and Z.Q. Xue

April, 1994

• CRSC-TR94-10

GMRES AND THE MINIMAL POLYNOMIAL

S.L. Campbell, I.C.F. Ipsen, C.T. Kelley, and C.D. Meyer

July, 1994

• CRSC-TR94-23

IMPLICIT FILTERING AND OPTIMAL DESIGN PROBLEMS

P. Gilmore, C.T. Kelley, C.T. Miller, and G.A. Williams

December, 1994

• CRSC-TR95-5

EXISTENCE AND UNIQUENESS OF SOLUTIONS OF NONLINEAR SYSTEMS OF CONDUCTIVE-RADIATIVE HEAT TRANSFER EQUATIONS

C.T. Kelley

January, 1995

• CRSC-TR95-14

CONVERGENCE ESTIMATES FOR SOLUTION OF INTEGRAL EQUATIONS WITH GMRES

S.L. Campbell, I.C.F. Ipsen, C.T. Kelley, C.D. Meyer, and Z.Q. Xue

March, 1995

• CRSC-TR95-17

LOCAL CONVERGENCE OF THE SYMMETRIC RANK-ONE ITERATION

C.T. Kelley and E.W. Sachs

April, 1995

• CRSC-TR95-22

WORKSHOP ON KRYLOV SUBSPACE METHODS AND APPLICATIONS, MARCH 17-18, 1995

I.C.F. Ipsen and C.T. Kelley (Organizers)

June, 1995

• CRSC-TR95-28

ACCURATE AND ECONOMICAL SOLUTION OF THE PRESSURE-HEAD FORM OF RICHARDS' EQUATION BY THE METHODS OF LINES

M.D. Tocci, C.T. Kelley and C.T. Miller

August, 1995

• CRSC-TR95-33

USE OF AN IMPLICIT FILTERING ALGORITHM FOR MECHANICAL SYSTEM PARAMETER IDENTIFICATION

J.W. David, C.T. Kelley, and C.Y. Cheng

November, 1995

• CRSC-TR96-17

A FAST MULTILEVEL ALGORITHM FOR THE SOLUTION OF NONLINEAR SYSTEMS OF CONDUCTIVE-RADIATIVE HEAT TRANSFER EQUATIONS

J.M. Banoczi and C.T. Kelley

May, 1996.

• CRSC-TR96-18

CONSISTENT INITIAL CONDITIONS FOR UNSTRUCTURED HIGHER INDEX DAES: A COMPUTATIONAL STUDY

S.L. Campbell, C.T. Kelley, and K.D. Yeomans

May, 1996

• CRSC-TR96-19

TERMINATION OF NEWTON/CHORD ITERATIONS AND THE METHOD OF LINES

C.T. Kelley, C.T. Miller, and M.D. Tocci

May, 1996

• CRSC-TR96-21

CONVERGENCE ANALYSIS OF PSEUDO-TRANSIENT CONTINUATION

C.T. Kelley and D.K. Keyes

June, 1996

• CRSC-TR97-2

DETECTION AND REMEDIATION OF STAGNATION IN THE NELDERMEAD ALGORITHM USING A SUFFICIENT DECREASE CONDITION

C.T. Kelley

January, 1997

• CRSC-TR97-15

A FAST MULTILEVEL ALGORITHM FOR THE SOLUTION OF NONLINEAR SYSTEMS OF CONDUCTIVE-RADIATIVE HEAT TRANSFER EQUATIONS IN TWO SPACE DIMENSIONS

J.M. Banoczi and C.T. Kelley

June, 1997

CRSC-TR97-17

PRECONDITIONERS FOR THE REDUCED HESSIAN IN ELLIPTIC VARIATIONAL INEQUALITIES

T.D. Choi and C.T. Kelley

July, 1997

• CRSC-TR97-18

OPTIMAL DESIGN OF HIGH SPEED MECHANICAL SYSTEMS

J.W. David, C.Y. Cheng, T.D. Choi, C.T. Kelley, and J. Gablonsky

July, 1997

• CRSC-TR97-27

THE SIMPLEX GRADIENT AND NOISY OPTIMIZATION PROBLEMS

D.M. Bortz and C.T. Kelley

September, 1997

• CRSC-TR97-34

ROBUST SOLUTION OF RICHARDS' EQUATION FOR NON-UNIFORM POROUS MEDIA

C.T. Miller, G.A. Williams, C.T. Kelley, and M.D. Tocci

November, 1997

• CRSC-TR97-36

INEXACT NEWTON METHODS AND THE METHOS OF LINES FOR SOLVING RICHARDS' EQUATION IN TWO SPACE DIMENSIONS

M.D. Tocci, C.T. Kelley, C.T. Miller, and C.E. Kess

November, 1997

• CRSC-TR98-1

TRANSFORMATION APPROACHES FOR SIMULATING FLOW IN VARIABLY SATURATED POROUS MEDIA

G.A. Williams, C.T. Miller, and C.T. Kelley

January, 1998

• CRSC-TR98-11

EFFICIENT AND ROBUST NUMERIAL MODELING OF VARIABLY SATURATED FLOW IN LAYERED POROUS MEDIA

C.T. Miller, G.A. Williams, and C.T. Kelley

March, 1998

• CRSC-TR98-20

MESH INDEPENDENCE OF MATRIX-FREE METHODS FOR PATH FOLLOWING

W.R. Ferng and C.T. Kelley

May, 1998

• CRSC-TR98-44

OPTIMIZATION OF AUTOMOTIVE VALVE TRAIN COMPONENTS WITH IMPLICIT FILTERING

T.D. Choi, O.J. Eslinger, C.T. Kelley, J.W. David, and M. Etheridge

December, 1998

• CRSC-TR99-14

SUPERLINEAR CONVERGENCE AND IMPLICIT FILTERING

T.D. Choi and C.T. Kelley

March, 1999

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For more information,

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email: crsc@math.ncsu.edu