Faculty & Staff

Homer F. Walker

Professor

Faculty Listing
Office: Stratton Hall, 009A
Phone: +1-508-831-6113
Fax: +1-508-831-5824
walker@wpi.edu

Related Information

Personal Web Site

Educational Background

B.A., Rice University, 1966
M.S., New York University, 1968
Ph.D., New York University, 1970

Research & Teaching Interests

Computational and applied mathematics; numerical methods for linear and nonlinear systems, ordinary and partial differential equations, unconstrained optimization; applications to physical and statistical models

IQP Advising Interests

Environmental applications of mathematical modeling, applications of mathematical modeling to energy and resources, health care applications of mathematics and computing, mathematical models in resource management and planning, economic applications of mathematical modeling, computers & education

Recent Publications

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.
On backtracking failure in Newton--GMRES methods, with R. S. Tuminaro and J. N. Shadid, J. Comp. Physics, 180 (2002), 549--558.
Solution methods for large-scale nonlinear problems: an evolving research area, with C.S. Woodward, SIAM News, 34 (April 2001), 15-16.
An adaptation of Krylov subspace methods to path following problems, SIAM J. Sci. Comput., 21 (2000), pp. 1191--1198.
NITSOL: a Newton iterative solver for nonlinear systems, with M. Pernice, Special Issue on Iterative Methods, SIAM J. Sci. Comput., 19 (1998), 302--318.

View detailed list

Honors & Awards

First Governor's Medal for Science and Technology, State of Utah, 1987
College of Science Researcher of the Year, Utah State University, 1994
ISI Highly Cited Researcher in Mathematics, 2003
Board of Trustees Award for Outstanding Research and Creative Scholarship, Worcester Polytechnic Institute, 2005

Professional Societies/Memberships

American Mathematical Society
Society for Industrial and Applied Mathematics

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