Conservation of invariants by symmetric multistep cosine methods for second-order partial differential equations

DOI10.1007/s10543-012-0393-1zbMath1264.65165OpenAlexW2052852745MaRDI QIDQ1944008

Begoña Cano

Publication date: 3 April 2013

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-012-0393-1

zbMATH Keywords

multi-step methodssymmetric methodsexponential integratorsconservation of invariantscosine methodsecond-order partial differential equations

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (10)

Trigonometric integrators for quasilinear wave equations ⋮ One-stage explicit trigonometric integrators for effectively solving quasilinear wave equations ⋮ Numerical conservations of energy, momentum and actions in the full discretisation for nonlinear wave equations ⋮ Nonlinear stability and convergence of ERKN integrators for solving nonlinear multi-frequency highly oscillatory second-order ODEs with applications to semi-linear wave equations ⋮ Metastable energy strata in numerical discretizations of weakly nonlinear wave equations ⋮ On averaged exponential integrators for semilinear wave equations with solutions of low-regularity ⋮ A modified Gautschi's method without order reduction when integrating boundary value nonlinear wave problems ⋮ Long-time momentum and actions behaviour of energy-preserving methods for semi-linear wave equations via spatial spectral semi-discretisations ⋮ Global error bounds of one-stage extended RKN integrators for semilinear wave equations ⋮ Error Analysis of Trigonometric Integrators for Semilinear Wave Equations

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