A fourth-order exponential wave integrator Fourier pseudo-spectral method for the Klein-Gordon equation

DOI10.1016/J.AML.2020.106519zbMath1452.65369OpenAlexW3030340207WikidataQ115597802 ScholiaQ115597802MaRDI QIDQ2005984

Bingquan Ji, Lu-Ming Zhang

Publication date: 8 October 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106519

zbMATH Keywords

Klein-Gordon equationerror estimateFourier pseudo-spectral methodfourth-order exponential wave integrator

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) KdV equations (Korteweg-de Vries equations) (35Q53) 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)

Related Items (1)

Fully-discrete energy-preserving scheme for the space-fractional Klein-Gordon equation via Lagrange multiplier type scalar auxiliary variable approach

Cites Work

• Analysis and comparison of numerical methods for the Klein-Gordon equation in the nonrelativistic limit regime
• Numerical solution of a nonlinear Klein-Gordon equation
• Stability and convergence of trigonometric integrator pseudospectral discretization for \textit{N}-coupled nonlinear Klein-Gordon equations
• A trigonometric integrator pseudospectral discretization for the \(N\)-coupled nonlinear Klein-Gordon equations
• Comparison of numerical methods for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime
• On error estimates of an exponential wave integrator sine pseudospectral method for the Klein-Gordon-Zakharov system
• An Exponential Wave Integrator Pseudospectral Method for the Symmetric Regularized-Long-Wave Equation
• Spectral Methods
• Approximation Results for Orthogonal Polynomials in Sobolev Spaces
• Symmetric high order Gautschi-type exponential wave integrators pseudospectral method for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime
• An Exponential Wave Integrator Sine Pseudospectral Method for the Klein--Gordon--Zakharov System

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