High performance solution of partial differential equations discretized using a Chebyshev spectral collocation method

DOI10.1016/0377-0427(95)00029-1zbMath0854.65101OpenAlexW2040118317MaRDI QIDQ1919463

Andreas Karageorghis, Cliff Cyphers, Marcin Paprzycki

Publication date: 23 July 1996

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00029-1

zbMATH Keywords

numerical experimentshigh performanceChebyshev spectral collocation method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Complexity and performance of numerical algorithms (65Y20)

Related Items (2)

Using Strassen's matrix multiplication in high performance solution of linear systems ⋮ Almost block diagonal linear systems: sequential and parallel solution techniques, and applications

Uses Software

• BLAS
• COLROW
• ARCELO

Cites Work

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• The numerical solution of laminar flow in a re-entrant tube geometry by a Chebyshev spectral element collocation method
• Stable parallel elimination for boundary value ODEs
• Conforming Chebyshev Spectral Collocation Methods for the Solution of Laminar flow in a Constricted Channel
• FORTRAN Packages for Solving Certain Almost Block Diagonal Linear Systems by Modified Alternate Row and Column Elimination
• An extended set of FORTRAN basic linear algebra subprograms
• Stable Parallel Algorithms for Two-Point Boundary Value Problems
• Alternate Row and Column Elimination for Solving Certain Linear Systems
• Basic Linear Algebra Subprograms for Fortran Usage
• A set of level 3 basic linear algebra subprograms

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