Accession Number:

ADA446724

Title:

Newton-Krylov Solvers for Time-Steppers

Descriptive Note:

Corporate Author:

NORTH CAROLINA STATE UNIV AT RALEIGH CENTER FOR RESEARCH IN SCIENTIFIC COMPUTATION

Report Date:

2004-01-01

Pagination or Media Count:

15.0

Abstract:

We study how the Newton-GMRES iteration can enable dynamic simulators time-steppers to perform fixed-point and path-following computations. For a class of dissipative problems, whose dynamics are characterized by a slow manifold, the Jacobian matrices in such computations are compact perturbations of the identity. We examine the number of GMRES iterations required for each nonlinear iteration as a function of the dimension of the slow subspace and the time-stepper reporting horizon. In a path-following computation, only a small number one or two of additional GMRES iterations is required.

Subject Categories:

  • Theoretical Mathematics
  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE