A Linearly-Fitted Conservative (Dissipative) Scheme for Efficiently Solving Conservative (Dissipative) Nonlinear Wave PDEs

DOI10.4208/jcm.1612-m2016-0604zbMath1413.65369OpenAlexW2755516051MaRDI QIDQ4688158

Kai Liu, Wei Shi, Xin-Yuan Wu

Publication date: 22 October 2018

Published in: Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jcm.1612-m2016-0604

zbMATH Keywords

sine-Gordon equationstructure-preserving algorithmaverage vector field formulaconservative (dissipative) wave PDEslinearly-fitted

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

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Energy-preserving exponential integrators of arbitrarily high order for conservative or dissipative systems with highly oscillatory solutions ⋮ Long-Time Oscillatory Energy Conservation of Total Energy-Preserving Methods for Highly Oscillatory Hamiltonian Systems ⋮ An integral evolution formula of boundary value problem for wave equations ⋮ Long-time momentum and actions behaviour of energy-preserving methods for semi-linear wave equations via spatial spectral semi-discretisations ⋮ Two structure-preserving time discretizations for gradient flows

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