An energy-preserving and symmetric scheme for nonlinear Hamiltonian wave equations
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Publication:269427
DOI10.1016/j.jmaa.2016.03.038zbMath1381.35105OpenAlexW4233789555MaRDI QIDQ269427
Publication date: 18 April 2016
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.03.038
energy-preserving schemenonlinear Hamiltonian wave equationsnonlinear phenomenaoperator-variation-of-constants formulaoscillatory Hamiltonian systems
Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)
Related Items (12)
Long-Time Oscillatory Energy Conservation of Total Energy-Preserving Methods for Highly Oscillatory Hamiltonian Systems ⋮ An improved tri-coloured rooted-tree theory and order conditions for ERKN methods for general multi-frequency oscillatory systems ⋮ The boundness of the operator-valued functions for multidimensional nonlinear wave equations with applications ⋮ Exponential collocation methods based on continuous finite element approximations for efficiently solving the cubic Schrödinger equation ⋮ A novel class of explicit divergence-free time-domain methods for efficiently solving Maxwell's equations ⋮ Energy-preserving finite element methods for a class of nonlinear wave equations ⋮ Semi-analytical exponential RKN integrators for efficiently solving high-dimensional nonlinear wave equations based on FFT techniques ⋮ Nonlinear stability and convergence of ERKN integrators for solving nonlinear multi-frequency highly oscillatory second-order ODEs with applications to semi-linear wave equations ⋮ An explicit fourth-order energy-preserving scheme for Riesz space fractional nonlinear wave equations ⋮ Energy-preserving continuous stage extended Runge-Kutta-Nyström methods for oscillatory Hamiltonian systems ⋮ Long-time momentum and actions behaviour of energy-preserving methods for semi-linear wave equations via spatial spectral semi-discretisations ⋮ An approach to solving Maxwell's equations in time domain
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