Non-dissipative time-integration schemes for the linear advection equation

DOI10.1080/00207160008804914zbMath0967.65099OpenAlexW2083009347MaRDI QIDQ4950625

M. A. Al-Zanaidi, M. M. Chawla, David J. Evans

Publication date: 21 August 2001

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160008804914

zbMATH Keywords

numerical testsmethod of characteristicsCrank-Nicolson schemelinear advection equationbox schemenon-dissipative time-integration scheme

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

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• Backward difference replacements of the space derivative in first-order hyperbolic equations
• Low-dissipation and low-dispersion Runge-Kutta schemes for computational acoustics
• Accurate partial difference methods. II: Non-linear problems
• Non-dissipative extended one-step methods for oscillatory problems
• Systems of conservation laws

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