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

Stephen H. Brill; 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

Stephen H. Brill, George F. Pinder

Mathematics Department

University of Vermont

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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.

Original language	American English
Journal	Parallel Computing
Volume	28
Issue number	3
State	Published - 1 Mar 2002

Keywords

Hermite collocation
Bi-CGSTAB
Preconditioner
Speedup

EGS Disciplines

Mathematics

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https://doi.org/10.1016/S0167-8191(01)00131-4

Cite this

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

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",

author = "Brill, {Stephen H.} and Pinder, {George F.}",

year = "2002",

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language = "American English",

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T1 - Parallel Implementation of the Bi-CGSTAB Method with Block Red–Black Gauss–Seidel Preconditioner Applied to the Hermite Collocation Discretization of Partial Differential Equations

AU - Brill, Stephen H.

AU - Pinder, George F.

PY - 2002/3/1

Y1 - 2002/3/1

N2 - 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.

AB - 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.

KW - Hermite collocation

KW - Bi-CGSTAB

KW - Preconditioner

KW - Speedup

UR - http://dx.doi.org/10.1016/S0167-8191(01)00131-4

UR - https://scholarworks.boisestate.edu/math_facpubs/83

UR - https://doi.org/10.1016/S0167-8191(01)00131-4

M3 - Article

VL - 28

JO - Parallel Computing

JF - Parallel Computing

IS - 3

ER -

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

Abstract

Keywords

EGS Disciplines

Access to Document

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