Uniformly Accurate Oscillatory Integrators for the Klein--Gordon--Zakharov System from Low- to High-Plasma Frequency Regimes

DOI10.1137/18M1177184zbMath1441.76086arXiv1803.09126OpenAlexW2964133549WikidataQ128388488 ScholiaQ128388488MaRDI QIDQ4624979

Simon Baumstark, Katharina Schratz

Publication date: 20 February 2019

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

Full work available at URL: https://arxiv.org/abs/1803.09126

zbMATH Keywords

wave equationsKlein-Gordon-Zakharov systemhigh plasma frequency limithighly osciallatory problemsoscillatory integrator

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) 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) Asymptotic expansions of solutions to PDEs (35C20) 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) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

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