A simple pseudospectral method for the computation of the time-dependent Dirac equation with Perfectly Matched Layers

Antoine, Xavier; Lorin, Emmanuel

doi:10.1016/j.jcp.2019.06.020

Antoine, X. (Xavier) and E. Lorin (Emmanuel)

2019-10-15

A simple pseudospectral method for the computation of the time-dependent Dirac equation with Perfectly Matched Layers

Journal of Computational Physics , Volume 395 p. 583- 601

A simple time-splitting pseudospectral method for the computation of the Dirac equation with Perfectly Matched Layers is proposed. Within this approach, basic and widely used FFT-based solvers can be adapted without much effort to compute Initial Boundary Value Problems for the time-dependent Dirac equation with absorbing boundary layers. Some numerical examples from laser-physics are proposed to illustrate the method.

Additional Metadata
Keywords	Dirac equation, High-order accuracy, Perfectly Matched Layers, Pseudospectral approximation, Time-splitting
Persistent URL	doi.org/10.1016/j.jcp.2019.06.020
Journal	Journal of Computational Physics
Organisation	School of Mathematics and Statistics
Citation APA Style AAA Style APA Style Cell Style Chicago Style Harvard Style IEEE Style MLA Style Nature Style Vancouver Style American-Institute-of-Physics Style Council-of-Science-Editors Style BibTex Format Endnote Format RIS Format CSL Format DOIs only Format	Antoine, X. (Xavier), & Lorin, E. (2019). A simple pseudospectral method for the computation of the time-dependent Dirac equation with Perfectly Matched Layers. Journal of Computational Physics, 395, 583–601. doi:10.1016/j.jcp.2019.06.020

A simple pseudospectral method for the computation of the time-dependent Dirac equation with Perfectly Matched Layers

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A simple pseudospectral method for the computation of the time-dependent Dirac equation with Perfectly Matched Layers

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