A quasi-conservative dynamical low-rank algorithm for the Vlasov\n equation

2018/07/06 by Lukas Einkemmer, Christian Lubich, Einkemmer, Lukas +1 · 4 citations
Engineering · Physics and Astronomy · #Computational Physics (physics.comp-ph) #Cosmology and Gravitation Theories #FOS: Mathematics #FOS: Physical sciences #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Sparse and Compressive Sensing Techniques

paper · pdf · doi:10.48550/arxiv.1807.02338

openalex publication_date 2018/07/06 · openalex created_date 2022/08/04 · openalex updated_date 2026/07/28

Abstract

Numerical methods that approximate the solution of the Vlasov-Poisson\nequation by a low-rank representation have been considered recently. These\nmethods can be extremely effective from a computational point of view, but\ncontrary to most Eulerian Vlasov solvers, they do not conserve mass and\nmomentum, neither globally nor in respecting the corresponding local\nconservation laws. This can be a significant limitation for intermediate and\nlong time integration. In this paper we propose a numerical algorithm that\novercomes some of these difficulties and demonstrate its utility by presenting\nnumerical simulations.\n

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