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

Medviďová-Lukáčová, MáriaMáriaMedviďová-LukáčováWarnecke, GeraldGeraldWarneckeZahaykah, YousefYousefZahaykah2006-02-152006-02-152004-01http://tubdok.tub.tuhh.de/handle/11420/126The 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 Fouriertransformationamplification matrixMathematikOn the stability of the evolution Galerkin schemes applied to a two-dimensional wave equations systemWorking Paper2006-02-17urn:nbn:de:gbv:830-opus-183110.15480/882.124Hyperbolisches SystemEvolutionsoperatorGalerkin-MethodeDiskrete Fourier-TransformationFinite difference methodsWave equation11420/12610.15480/882.124930768170Other