Experiments with an ordinary differential equation solver in the parallel solution of method of lines problems on a shared-memory parallel computer

DOI10.1016/0377-0427(91)90173-HzbMath0747.65079WikidataQ115363268 ScholiaQ115363268MaRDI QIDQ1184125

S. Singh

Publication date: 28 June 1992

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

zbMATH Keywords

method of linesGaussian eliminationtest problemsparallel computerDense and sparse systems

Mathematics Subject Classification ID

Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Direct numerical methods for linear systems and matrix inversion (65F05)

Uses Software

• LAPACK
• LINPACK
• SPARSPAK
• UNCMND
• pchip
• LSODA

Cites Work

• UNCMND
• Parallel Cholesky factorization on a shared-memory multiprocessor
• Reduced storage matrix methods in stiff ODE systems
• Pseudo-characteristic method of lines solution of first-order hyperbolic equation systems
• Stiff ODE solvers: A review of current and coming attractions
• Benchmark fluid flow problems for continuous simulation languages
• Remarks on the choice of a stiff ordinary differential equation solver
• The effect of partial pivoting in sparse ordinary differential equation solvers
• The Design of a User Interface for a Sparse Matrix Package
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