Spatial resolution of different discretizations over long-time for the Dirac equation with small potentials

DOI10.1016/j.cam.2022.114342OpenAlexW3165653114WikidataQ113878725 ScholiaQ113878725MaRDI QIDQ2141613

Yue Feng, Jia Yin

Publication date: 25 May 2022

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

Full work available at URL: https://arxiv.org/abs/2105.10468

zbMATH Keywords

finite difference methodDirac equationspectral methodlong-time dynamics\(\varepsilon\)-scalability

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) PDEs in connection with quantum mechanics (35Q40) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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