An Efficient Spectral Petrov-Galerkin Method for Nonlinear Hamiltonian Systems

DOI10.4208/cicp.2019.js60.11zbMath1473.65228OpenAlexW2969630417MaRDI QIDQ5161698

Waixiang Cao, Zhimin Zhang, Jing An

Publication date: 1 November 2021

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/cicp.2019.js60.11

zbMATH Keywords

iterative algorithmenergy conservationsymplectic structurenonlinear Hamiltonian systemspectral Petrov-Galerkin method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (5)

Poisson Integrators Based on Splitting Method for Poisson Systems ⋮ Unconditional convergence of conservative spectral Galerkin methods for the coupled fractional nonlinear Klein-Gordon-Schrödinger equations ⋮ Superconvergence of projection integrators for conservative system ⋮ Legendre-Gauss-Radau Spectral Collocation Method for Nonlinear Second-Order Initial Value Problems with Applications To Wave Equations ⋮ Efficient energy preserving Galerkin-Legendre spectral methods for fractional nonlinear Schrödinger equation with wave operator

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