Theory and numerical approximations for a nonlinear 1 + 1 Dirac system

DOI10.1051/m2an/2011071zbMath1274.65232OpenAlexW2107653719MaRDI QIDQ2842468

Georgios E. Zouraris, Nikolaos Bournaveas

Publication date: 14 August 2013

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2011071

zbMATH Keywords

error estimatesimplicit-explicit finite difference methodnonlinear Dirac system

Mathematics Subject Classification ID

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial-boundary value problems for first-order hyperbolic systems (35L50) First-order hyperbolic systems (35L40) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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