A uniformly accurate exponential wave integrator Fourier pseudo-spectral method with energy-preservation for long-time dynamics of the nonlinear Klein-Gordon equation-Reference-Cited by-同舟云学术

A uniformly accurate exponential wave integrator Fourier pseudo-spectral method with energy-preservation for long-time dynamics of the nonlinear Klein-Gordon equation

Published:2022-08 Issue: Volume:178 Page:166-191
ISSN:0168-9274
Container-title:Applied Numerical Mathematics
language:en
Short-container-title:Applied Numerical Mathematics

Author:

Deng Shuo,Li Jiyong

Funder

Hebei Provincial Natural Science Foundation

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference50 articles.

1. A uniformly accurate multiscale time integrator pseudospectral method for the Klein-Gordon equation in the nonrelativistic limit regime;Bao;SIAM J. Numer. Anal.,2014

2. Long time error analysis of finite difference time domain methods for the nonlinear Klein-Gordon equation with weak nonlinearity;Bao;Commun. Comput. Phys.,2019

3. Uniform and optimal error estimates of an exponential wave integrator sine pseudospectral method for the nonlinear Schrödinger equation with wave operator;Bao;SIAM J. Numer. Anal.,2014

4. Analysis and comparison of numerical methods for the Klein-Gordon equation in the nonrelativistic limit regime;Bao;Numer. Math.,2012

5. Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation;Bao;Math. Comput.,2013

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