A uniformly accurate multiscale time integrator for the nonlinear Klein-Gordon equation in the nonrelativistic regime via simplified transmission conditions

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Weizhu Bao, Caoyi Liu
DOI: 10.48550/arxiv.2602.04988
Cited by: 0

Abstract

We propose a new and simplified multiscale time integrator Fourier pseudospectral (MTI-FP) method for the nonlinear Klein-Gordon equation (NKGE) with a dimensionless parameter epsilon in (0,1] inversely proportional to the speed of light, and establish its uniform first-order accuracy in time in the nonrelativistic regime, i.e. 0 < epsilon

Fields of Study & Subjects

Differential Equations and Numerical Methods Advanced Mathematical Modeling in Engineering Numerical methods for differential equations

Publication details

Journal / source
arXiv (Cornell University)
Publication date
4 February 2026
Document type
Preprint