Higher Order A-Stable Schemes for the Wave Equation Using a Successive Convolution Approach

DOI10.1137/130932685zbMath1303.65078arXiv1308.3214OpenAlexW2016631139MaRDI QIDQ5415989

Matthew F. Causley, Andrew J. Christlieb

Publication date: 19 May 2014

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.3214

zbMATH Keywords

algorithmstabilitywave equationlinear complexityboundary integral methodstransverse method of lineshigher-order schemesmultiderivative schemesalternating directions implicite methodsimplicite methodsmethod of lines transponse

Mathematics Subject Classification ID

Wave equation (35L05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38) Fundamental solutions, Green's function methods, etc. for initial value and initial-boundary value problems involving PDEs (65M80)

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