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High-order Numerical Schemes for Kinetic Models with Applications in Plasma Physics

Publications

On the Vlasov--Maxwell System with a Strong Magnetic Field

Author(s): Francis Filbet, Tao Xiong, Eric Sonnendrücker
Published in: SIAM Journal on Applied Mathematics, 78/2, 2018, Page(s) 1030-1055, ISSN 0036-1399
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/17m1112030

A hierarchical uniformly high order DG-IMEX scheme for the 1D BGK equation

Author(s): Tao Xiong, Jing-Mei Qiu
Published in: Journal of Computational Physics, 336, 2017, Page(s) 164-191, ISSN 0021-9991
Publisher: Academic Press
DOI: 10.1016/j.jcp.2017.01.032

A Hybrid Discontinuous Galerkin Scheme for Multi-scale Kinetic Equations

Author(s): Francis Filbet and Tao Xiong
Published in: 2017
Publisher: https://arxiv.org/abs/1803.04269

A high order bound preserving finite difference linear scheme for incompressible flows

Author(s): Tao Xiong
Published in: 2017
Publisher: Preprint