A low-rank projector-splitting integrator for the Vlasov–Maxwell equations with divergence correction-Reference-Cited by-同舟云学术

A low-rank projector-splitting integrator for the Vlasov–Maxwell equations with divergence correction

Published:2020-02 Issue: Volume:403 Page:109063
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Einkemmer Lukas^ORCID,Ostermann Alexander^ORCID,Piazzola Chiara^ORCID

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modelling and Simulation,Numerical Analysis

Reference40 articles.

1. On a finite element method for solving the three-dimensional Maxwell equations;Assous;J. Comput. Phys.,1993

2. The integration of the Vlasov equation in configuration space;Cheng;J. Comput. Phys.,1976

3. Hamiltonian splitting for the Vlasov–Maxwell equations;Crouseilles;J. Comput. Phys.,2015

4. An asymptotic preserving scheme for the relativistic Vlasov-Maxwell equations in the classical limit;Crouseilles;Comput. Phys. Commun.,2016

5. A parallel Vlasov solver based on local cubic spline interpolation on patches;Crouseilles;J. Comput. Phys.,2009

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