A uniformly and optimally accurate multiscale time integrator method for the Klein-Gordon-Zakharov system in the subsonic limit regime

DOI10.1016/j.camwa.2018.04.040zbMath1419.65084OpenAlexW2804076391MaRDI QIDQ2001701

Ying Ma, Chun-Mei Su

Publication date: 11 July 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.04.040

zbMATH Keywords

spectral methodmultiscale decompositionKlein-Gordon-Zakharov systemsubsonic limitmultiscale time integratoruniformly and optimally accurate

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) General aerodynamics and subsonic flows (76G25) 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) NLS equations (nonlinear Schrödinger equations) (35Q55) 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) Statistical mechanics of plasmas (82D10) PDEs in connection with statistical mechanics (35Q82)

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A uniformly first-order accurate method for Klein-Gordon-Zakharov system in simultaneous high-plasma-frequency and subsonic limit regime ⋮ Uniform error bound of a conservative fourth-order compact finite difference scheme for the Zakharov system in the subsonic regime ⋮ Analysis of fractional Klein–Gordon–Zakharov equations using efficient method ⋮ Uniformly accurate nested Picard iterative schemes for nonlinear Schrödinger equation with highly oscillatory potential ⋮ Analysis of two conservative fourth-order compact finite difference schemes for the Klein-Gordon-Zakharov system in the subsonic limit regime ⋮ On time-splitting methods for nonlinear Schrödinger equation with highly oscillatory potential

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