Uniform error bounds of time-splitting spectral methods for the long-time dynamics of the nonlinear Klein–Gordon equation with weak nonlinearity

DOI10.1090/mcom/3694OpenAlexW3212816381MaRDI QIDQ5029473

Yue Feng, Chun-Mei Su, Weizhu Bao

Publication date: 14 February 2022

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.10868

zbMATH Keywords

nonlinear Klein-Gordon equationuniform error boundslong-time dynamicsweak nonlinearitytime-splitting spectral methodrelativistic nonlinear Schrödinger equation

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Computational methods for problems pertaining to quantum theory (81-08) 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) Numerical analysis (65-XX)

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