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

Medviďová-Lukáčová, MáriaMáriaMedviďová-LukáčováWarnecke, GeraldGeraldWarneckeZahaykah, YousefYousefZahaykah2006-04-122006-04-122006-03SIAM Journal on Numerical Analysishttp://tubdok.tub.tuhh.de/handle/11420/235The 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.enhttp://rightsstatements.org/vocab/InC/1.0/hyperbolic systemswave equationevolution Galerkin schemesdiscrete Fourier transformationamplification matrixCFL conditionMathematikOn the stability of evolution Galerkin schemes applied to a two-dimensional wave equation systemJournal Article2006-04-20urn:nbn:de:gbv:830-opus-298810.15480/882.233Hyperbolisches SystemEvolutionsgleichungWellengleichungInitial value problemsFinite difference methods11420/23510.15480/882.233930768523Journal Article