"Parallel Implementation of the Bi-CGSTAB Method with Block Red–Black Gauss–Seidel Preconditioner Applied to the Hermite Collocation Discretization of Partial Differential Equations" by Stephen H. Brill

Article

Parallel Implementation of the Bi-CGSTAB Method with Block Red–Black Gauss–Seidel Preconditioner Applied to the Hermite Collocation Discretization of Partial Differential Equations

Parallel Computing (2002)

Stephen H. Brill, Boise State University
George F. Pinder, University of Vermont

Link

Abstract

We describe herein the parallel implementation of the Bi-CGSTAB method with a block red–black Gauss–Seidel (RBGS) preconditioner applied to the systems of linear algebraic equations that arise from the Hermite collocation discretization of partial differential equations in two spatial dimensions. The method is implemented on the Cray T3E, a parallel processing supercomputer. Speedup results are discussed.

Keywords

Hermite collocation,
Bi-CGSTAB,
Preconditioner,
Speedup

Disciplines

Mathematics

Publication Date

March 1, 2002

Citation Information

Stephen H. Brill and George F. Pinder. "Parallel Implementation of the Bi-CGSTAB Method with Block Red–Black Gauss–Seidel Preconditioner Applied to the Hermite Collocation Discretization of Partial Differential Equations" Parallel Computing Vol. 28 Iss. 3 (2002)
Available at: http://works.bepress.com/stephen_brill/5/