2019-10-15
A simple pseudospectral method for the computation of the time-dependent Dirac equation with Perfectly Matched Layers
Publication
Publication
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 | |
|---|---|
| Dirac equation, High-order accuracy, Perfectly Matched Layers, Pseudospectral approximation, Time-splitting | |
| dx.doi.org/10.1016/j.jcp.2019.06.020 | |
| Journal of Computational Physics | |
| Organisation | School of Mathematics and Statistics |
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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
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