Method of lines transpose: An implicit solution to the wave equation

DOI10.1090/S0025-5718-2014-02834-2zbMath1307.65122MaRDI QIDQ3189448

Lee van Groningen, Benjamin W. Ong, Andrew J. Christlieb, Matthew F. Causley

Publication date: 10 September 2014

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

algorithmconvergencewave equationconsistencyerror boundsHelmholtz equationsemidiscretizationnumerical experimentalternating direction implicit methodsimplicit methodsboundary integral methodsmethod of lines transposetransverse method of linesRohte's method

Mathematics Subject Classification ID

Wave equation (35L05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) 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)

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