On stability of the evolution Galerkin schemes applied to a two-dimensional wave equation system

by Lukacova-Medvidova, M.; Warnecke, G.; Zahaykah, Y.


Preprint series: 04-03, Preprints

35L05 Wave equation
65M06 Finite difference methods
35L45 Initial value problems for hyperbolic systems of first-order PDE
35L65 Conservation laws
65M25 Method of characteristics
42B10 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
65M12 Stability and convergence of numerical methods


Abstract: The subject of the paper is the analysis of stability of the evolution Galerkin (EG) methods for the two-dimensional wave equation system. We apply von Neumann analysis and use the Fourier transformation to estimate the stability limits of both the first and the second order EG methods.

Keywords: hyberbolic systems, wave equation, evolution Galerkin schemes, discrete Fourier transformation, amplification matrix, CFL condition.

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Letzte Änderung: 01.03.2018 - Ansprechpartner: Webmaster