Parallel implementation of the Bi-CGSTAB method with block red–black Gauss–Seidel preconditioner applied to the Hermite collocation discretization of partial differential equations

Author:

Brill Stephen H.,Pinder George F.

Publisher

Elsevier BV

Subject

Artificial Intelligence,Computer Graphics and Computer-Aided Design,Computer Networks and Communications,Hardware and Architecture,Theoretical Computer Science,Software

Reference24 articles.

1. Fast direct solvers for piecewise Hermite bicubic orthogonal spline collocation equations;Bialecki;SIAM J. Numer. Anal.,1992

2. Hermite collocation solution of partial differential equations via preconditioned Krylov methods;Brill;Numer. Meth. Partial Diff. Eqs.,2001

3. S.H. Brill, Documentation for Collocation Software, RCGRD Publication #98-01, Research Center for Groundwater Remediation Design, University of Vermont, Burlington, Vermont, 1998. Available from http://math.boisestate.edu/∼brill/research/doc_coll.html

4. S.H. Brill, G.F. Pinder, Analysis of a block red–black preconditioner applied to the Hermite collocation discretization of a model parabolic equation, Numer. Meth. Partial Diff. Eqs. 17 (2001) 584–606

5. Eigenvalue analysis of a block red–black Gauss–Seidel preconditioner applied to the Hermite collocation discretization of Poisson's equation;Brill;Numer. Meth. Partial Diff. Eqs.,2001

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