Analysis of a Fourier pseudo-spectral conservative scheme for the Klein–Gordon–Schrödinger equation

DOI10.1080/00207160.2017.1366460zbMath1390.65082OpenAlexW2748161438MaRDI QIDQ4641515

Jialing Wang, Dong Liang, Yu Shun Wang

Publication date: 17 May 2018

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2017.1366460

zbMATH Keywords

energy-preserving schemediscrete gradient methodKlein-Gordon-Schrödinger equationFourier pseudo-spectral methodcanonical finite-dimensional Hamiltonian form

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for discrete and fast Fourier transforms (65T50) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (3)

Optimal error estimate of a decoupled conservative local discontinuous Galerkin method for the Klein-Gordon-Schrödinger equations ⋮ Error estimates for a class of energy- and Hamiltonian-preserving local discontinuous Galerkin methods for the Klein-Gordon-Schrödinger equations ⋮ Conservative Fourier pseudo-spectral schemes for general Klein–Gordon–Schrödinger equations

Cites Work

• The solitary wave solution of coupled Klein-Gordon-Zakharov equations via two different numerical methods
• Time-splitting pseudo-spectral domain decomposition method for the soliton solutions of the one- and multi-dimensional nonlinear Schrödinger equations
• Numerical solution of the Yukawa-coupled Klein-Gordon-Schrödinger equations via a Chebyshev pseudospectral multidomain method
• Numerical simulation of interaction between Schrödinger field and Klein-Gordon field by multisymplectic method
• Explicit multi-symplectic methods for Klein-Gordon-Schrödinger equations
• Local structure-preserving algorithms for partial differential equations
• Spectral method for solving the system of equations of Schrödinger- Klein-Gordon field
• On the global strong solutions of coupled Klein-Gordon-Schrödinger equations
• On coupled Klein-Gordon-Schrödinger equations. II
• Multisymplectic geometry, variational integrators, and nonlinear PDEs
• On Tsertvadze's difference scheme for the Kuramoto-Tsuzuki equation
• The periodic wave solutions for the Klein-Gordon-Schrödinger equations
• The exact solitary wave solutions for the Klein-Gordon-Schrödinger equations
• A conservative Fourier pseudo-spectral method for the nonlinear Schrödinger equation
• Convergence of a conservative difference scheme for a class of Klein-Gordon-Schrödinger equations in one space dimension
• A series of new explicit exact solutions for the coupled Klein-Gordon-Schrödinger equations
• Point-wise errors of two conservative difference schemes for the Klein-Gordon-Schrödinger equation
• Multisymplectic Fourier pseudo-spectral integrators for Klein-Gordon-Schrödinger equations
• Two numerical meshless techniques based on radial basis functions (RBFs) and the method of generalized moving least squares (GMLS) for simulation of coupled Klein-Gordon-Schrödinger (KGS) equations
• Optimal point-wise error estimate of a compact difference scheme for the Klein-Gordon-Schrödinger equation
• New energy-preserving schemes for Klein-Gordon-Schrödinger equations
• A class of conservative orthogonal spline collocation schemes for solving coupled Klein-Gordon-Schrödinger equations
• Efficient and accurate numerical methods for the Klein-Gordon-Schrödinger equations
• Time integration and discrete Hamiltonian systems
• A pseudo-spectral method that uses an overlapping multidomain technique for the numerical solution of sine-Gordon equation in one and two spatial dimensions
• Numerical Solution of System of N–Coupled NonlinearSchrödinger Equations via Two Variants of the MeshlessLocal Petrov–Galerkin (MLPG) Method
• Spectral Methods
• Deblurring Images
• Approximation Results for Orthogonal Polynomials in Sobolev Spaces
• Periodic solitary waves for two coupled nonlinear Klein–Gordon and Schr dinger equations
• Stability of stationary states for the coupled Klein — Gordon — Schrödinger equations
• Multi-Symplectic Fourier Pseudospectral Method for the Kawahara Equation
• Spectral Methods
• Numerical comparison of five difference schemes for coupled Klein–Gordon–Schrödinger equations in quantum physics
• Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity
• Multi-symplectic spectral discretizations for the Zakharov-Kuznetsov and shallow water equations
• Multi-symplectic Fourier pseudospectral method for the nonlinear Schrödinger equation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Analysis of a Fourier pseudo-spectral conservative scheme for the Klein–Gordon–Schrödinger equation