Splitting methods for nonlinear Dirac equations with Thirring type interaction in the nonrelativistic limit regime

DOI10.1016/j.cam.2019.112494zbMath1457.78006OpenAlexW2976771604WikidataQ127199698 ScholiaQ127199698MaRDI QIDQ2223808

Katharina Schratz, Xiaofei Zhao, Patrick Krämer

Publication date: 3 February 2021

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://publikationen.bibliothek.kit.edu/1000087636/19554970

zbMATH Keywords

error estimatestime integrationDirac equationsplitting methodsnonrelativistic limithighly-oscillatory

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) 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) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Motion of charged particles (78A35) Time-dependent Schrödinger equations and Dirac equations (35Q41) Spectral, collocation and related methods applied to problems in optics and electromagnetic theory (78M22)

Related Items

Numerical Methods for the Nonlinear Dirac Equation in the Massless Nonrelativistic Regime ⋮ On numerical methods for the semi-nonrelativistic limit system of the nonlinear Dirac equation ⋮ Energy-preserving exponential integrator Fourier pseudo-spectral schemes for the nonlinear Dirac equation ⋮ Uniform error bounds of exponential wave integrator methods for the long-time dynamics of the Dirac equation with small potentials

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