Strang splitting schemes for N-level Bloch models

Autor: Marc E. Songolo, Brigitte Bidégaray-Fesquet

Publikováno v: International Journal of Modeling, Simulation, and Scientific Computing.

In this paper, we define a splitting scheme for the [Formula: see text]-level Bloch model which makes use of exact numerical solutions of sub-equations. These exact solutions involve matrix exponentials which we want to avoid to calculate at each tim

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::aadc18047a781889489d7cb1fcf7fbcf
https://doi.org/10.1142/s1793962323500447

Nonstandard finite-difference schemes for the two-level Bloch model

Autor: Marc E. Songolo, Brigitte Bidégaray-Fesquet

Publikováno v: International Journal of Modeling, Simulation, and Scientific Computing
International Journal of Modeling, Simulation, and Scientific Computing, World Scientific Publishing, 2018, 9 (4), pp.1850033:1-23. ⟨10.1142/S1793962318500332⟩
International Journal of Modeling, Simulation, and Scientific Computing, 2018, 9 (4), pp.1850033:1-23. ⟨10.1142/S1793962318500332⟩

In this paper, we present splitting schemes for the two-level Bloch model. After proposing two ways to split the Bloch equation, we show that it is possible in each case to generate exact numerical solutions of the obtained sub-equations. These exact

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a8627b06c37af8bc69ab61905be9a026
https://doi.org/10.1142/s1793962318500332