Faculty & Staff
Homer F. Walker
Publications
Peer-Reviewed (Refereed) Journal Articles
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Globalization techniques for Newton-Krylov methods and applications to the fully-coupled solution of the Navier-Stokes equations, with R. P. Pawlowski, J. N. Shadid, and J. P. Simonis, SIAM Review, 48 (2006), 700-721.
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On backtracking failure in Newton--GMRES methods, with R. S. Tuminaro and J. N. Shadid, J. Comp. Physics, 180 (2002), 549--558.
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Solution methods for large-scale nonlinear problems: an evolving research area, with C.S. Woodward, SIAM News, 34 (April 2001), 15-16.
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An adaptation of Krylov subspace methods to path following problems, SIAM J. Sci. Comput., 21 (2000), pp. 1191--1198.
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NITSOL: a Newton iterative solver for nonlinear systems, with M. Pernice, Special Issue on Iterative Methods, SIAM J. Sci. Comput., 19 (1998), 302--318.
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A new adaptive GMRES algorithm for achieving high accuracy, with M. Sosonkina, L. T. Watson, and R. K. Kapania, Numer. Linear Algebra Appl., 5 (1998), pp. 275--297.
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GMRES on (nearly) singular systems, with P. N. Brown, SIAM J. Matrix Anal. Appl., 18 (1997), 37--51.
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An inexact Newton method for fully-coupled solution of the Navier--Stokes equations with heat and mass transport, with J. N. Shadid and R. S. Tuminaro, J. Comput. Physics, 137 (1997), 155--185.
Works
Computer Software
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HOMPACK90: a suite of FORTRAN 90 codes for globally convergent homotopy algorithms, with L. T. Watson, M. Sosonkina, R. C. Melville, and A. P. Morgan, ACM Trans. Math. Software, 23 (1997), 514--549.