Uniformly Accurate Low Regularity Integrators for the Klein--Gordon Equation from the Classical to NonRelativistic Limit Regime

DOI10.1137/21M1415030zbMath1492.35297arXiv2104.11672OpenAlexW3159127758MaRDI QIDQ5072585

Katharina Schratz, María Cabrera Calvo

Publication date: 29 April 2022

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.11672

zbMATH Keywords

nonlinear Klein-Gordon equationlow regularitynonrelativistic limit regimelimit integratoroscillatory PDEs

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stability in context of PDEs (35B35) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (3)

A symmetric low-regularity integrator for nonlinear Klein-Gordon equation ⋮ Improved uniform error bounds of exponential wave integrator method for long-time dynamics of the space fractional Klein-Gordon equation with weak nonlinearity ⋮ Uniformly accurate integrators for Klein-Gordon-Schrödinger systems from the classical to non-relativistic limit regime

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