scientific article; zbMATH DE number 5165535
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Publication:5292004
zbMath1119.65353MaRDI QIDQ5292004
Publication date: 19 June 2007
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
numerical examplesemilinear wave equationsSine-Gordon equationabstract evolutionary equationsexponental integratorStörmer-Verlet-Leap-Frog-scheme
Nonlinear differential equations in abstract spaces (34G20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Abstract hyperbolic equations (35L90)
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Stability and convergence of trigonometric integrator pseudospectral discretization for \textit{N}-coupled nonlinear Klein-Gordon equations ⋮ A trigonometric integrator pseudospectral discretization for the \(N\)-coupled nonlinear Klein-Gordon equations ⋮ Numerical conservations of energy, momentum and actions in the full discretisation for nonlinear wave equations ⋮ Error analysis of explicit TSERKN methods for highly oscillatory systems ⋮ Analysis and comparison of numerical methods for the Klein-Gordon equation in the nonrelativistic limit regime ⋮ Error estimates in the energy space for a Gautschi-type integrator spectral discretization for the coupled nonlinear Klein-Gordon equations ⋮ Rational approximation to trigonometric operators ⋮ Resolvent Krylov subspace approximation to operator functions ⋮ 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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