Global error bounds of one-stage extended RKN integrators for semilinear wave equations
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Publication:2316632
DOI10.1007/s11075-018-0585-0zbMath1422.65229arXiv1801.02070OpenAlexW3106252924MaRDI QIDQ2316632
Publication date: 6 August 2019
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.02070
error boundssemilinear wave equationstrigonometric integratorsextended Runge-Kutta-Nyström integrators
Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)
Related Items (10)
A second-order low-regularity correction of Lie splitting for the semilinear Klein–Gordon equation ⋮ One-stage explicit trigonometric integrators for effectively solving quasilinear wave equations ⋮ Oscillation-preserving algorithms for efficiently solving highly oscillatory second-order ODEs ⋮ Nonlinear stability and convergence of ERKN integrators for solving nonlinear multi-frequency highly oscillatory second-order ODEs with applications to semi-linear wave equations ⋮ A new embedded 4(3) pair of modified two-derivative Runge-Kutta methods with FSAL property for the numerical solution of the Schrödinger equation ⋮ Multi-step hybrid methods adapted to the numerical integration of oscillatory second-order systems ⋮ On averaged exponential integrators for semilinear wave equations with solutions of low-regularity ⋮ Continuous trigonometric collocation polynomial approximations with geometric and superconvergence analysis for efficiently solving semi-linear highly oscillatory hyperbolic systems ⋮ Long-time momentum and actions behaviour of energy-preserving methods for semi-linear wave equations via spatial spectral semi-discretisations ⋮ Exponential integrators for second-order in time partial differential equations
Uses Software
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