Error estimates of finite difference time domain methods for the Klein-Gordon-Dirac system in the nonrelativistic limit regime

DOI10.4310/CMS.2018.V16.N5.A7zbMath1406.35345WikidataQ128708405 ScholiaQ128708405MaRDI QIDQ1633642

Wenfan Yi, Yong-Yong Cai

Publication date: 20 December 2018

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

error estimatesnonrelativistic limit regimeYukawa interactionKlein-Gordon-Dirac systemfinite difference time domain (FDTD) methods

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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