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Journal of Scientific Computing

Erschienen in:

01.01.2021

Exact Splitting Methods for Kinetic and Schrödinger Equations

verfasst von: Joackim Bernier, Nicolas Crouseilles, Yingzhe Li

Erschienen in: Journal of Scientific Computing | Ausgabe 1/2021

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Abstract

In (Bernier in Exact splitting methods for semigroups generated by inhomogeneous quadratic differential operators. arXiv:1912.13219, (2019)), some exact splittings are proposed for inhomogeneous quadratic differential equations including, for example, transport equations, Fokker–Planck equations, and Schrödinger type equations with an angular momentum rotation term. In this work, these exact splittings are used combined with pseudo-spectral methods in space. High accuracy and efficiency of exact splitting methods are illustrated and comparison are performed with the numerical methods in literature. We show that our methods can be used to improve significantly some classical splitting methods for some nonlinear or non-quadratic equations.

Vorheriger Artikel Two New Variants of the Simpler Block GMRES Method with Vector Deflation and Eigenvalue Deflation for Multiple Linear Systems

Nächster Artikel A Level Set Method for the Dirichlet k-Partition Problem

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Titel: Exact Splitting Methods for Kinetic and Schrödinger Equations
verfasst von: Joackim Bernier
Nicolas Crouseilles
Yingzhe Li
Publikationsdatum: 01.01.2021
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 1/2021
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-020-01369-9

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