Uniform error estimates of a finite difference method for the Klein-Gordon-Schrödinger system in the nonrelativistic and massless limit regimes

DOI10.3934/KRM.2018040zbMath1405.65093OpenAlexW2796767188MaRDI QIDQ1715962

Weizhu Bao, Chun-Mei Su

Publication date: 29 January 2019

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/krm.2018040

zbMATH Keywords

error estimatesfinite difference methodKlein-Gordon-Schrödinger equationsnonrelativistic limithighly oscillatorymassless limitSchrödinger-Yukawa equations

Mathematics Subject Classification ID

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (6)

High-order Lagrange multiplier method for the coupled Klein-Gordon-Schrödinger system ⋮ Uniformly accurate nested Picard iterative schemes for nonlinear Schrödinger equation with highly oscillatory potential ⋮ Long time error analysis of the fourth‐order compact finite difference methods for the nonlinear <scp>Klein–Gordon</scp> equation with weak nonlinearity ⋮ Efficient structure preserving schemes for the Klein-Gordon-Schrödinger equations ⋮ Optimal error estimate of a decoupled conservative local discontinuous Galerkin method for the Klein-Gordon-Schrödinger equations ⋮ Error estimates for a class of energy- and Hamiltonian-preserving local discontinuous Galerkin methods for the Klein-Gordon-Schrödinger equations

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