Analysis and comparison of numerical methods for the Klein-Gordon equation in the nonrelativistic limit regime

DOI10.1007/s00211-011-0411-2zbMath1248.65087OpenAlexW2064726339MaRDI QIDQ663273

Xuanchun Dong, Weizhu Bao

Publication date: 14 February 2012

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-011-0411-2

zbMATH Keywords

numerical resultssmall parametererror bounds\(\varepsilon\)-scalabilityfinite difference spatial approximationfinite difference time domain methodsFourier pseudospectral spatial approximationGautschi-type exponential time integratorrelativistic Klein-Gordon equation

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) PDEs in connection with quantum mechanics (35Q40) PDEs in connection with relativity and gravitational theory (35Q75) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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