Sequential and parallel methods for solving first-order hyperbolic equations

DOI<557::AID-CNM5>3.0.CO;2-J 10.1002/(SICI)1099-0887(199609)12:9<557::AID-CNM5>3.0.CO;2-JzbMath0863.65051OpenAlexW2170854141MaRDI QIDQ4716141

E. H. Twizell, M. A. Arigu, Abba B. Gumel

Publication date: 18 December 1996

Full work available at URL: https://doi.org/10.1002/(sici)1099-0887(199609)12:9<557::aid-cnm5>3.0.co;2-j

zbMATH Keywords

parallel computationmethod of linesPadé approximationsmatrix exponential functions

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Parallel numerical computation (65Y05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items

Third-order methods for first-order hyperbolic partial differential equations

Cites Work

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• Backward difference replacements of the space derivative in first-order hyperbolic equations
• The extrapolation of stable finite difference schemes for first order hyperbolic equations
• The Convergence Rate for Difference Approximations to Mixed Initial Boundary Value Problems
• Fourth Order Difference Methods for the Initial Boundary-Value Problem for Hyperbolic Equations