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International Journal of Computer Mathematics Volume 89, 2012 - Issue 8
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Section B

Numerical study of a nonlinear heat equation for plasma physics

Francis Filbet Institut Camille Jordan, Université de Lyon, NRS UMR5208, Université Claude Bernard Lyon 1, 43 boulevard 11 novembre 1918, F-69622, Villeurbanne Cedex, FranceCorrespondence[email protected]
,
Claudia Negulescu LATP, Université de Provence, 39, rue Joliot Curie, 13453, Marseille Cedex, France
&
Chang Yang Laboratoire Paul Painlevé U.M.R CNRS 8524, Université Lille 1 – Sciences et Technologies, Cit Scientifique 59655, 59650, Villeneuve d'Ascq Cedex, France
Pages 1060-1082 | Received 23 Jun 2011, Accepted 13 Mar 2012, Published online: 30 Apr 2012

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Jing An, Lewei Zhao & Wen-Zhao Zhang. (2020) A high-precision numerical method for the dissipative dynamics of the Hamiltonian systems. International Journal of Computer Mathematics 97:12, pages 2436-2450.
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Articles from other publishers (10)

Mihaï Bostan. (2021) Multi-scale analysis for wave problems with disparate propagation speeds. Asymptotic Analysis 122:1-2, pages 131-164.
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Chang Yang, Fabrice Deluzet & Jacek Narski. (2019) On the numerical resolution of anisotropic equations with high order differential operators arising in plasma physics. Journal of Computational Physics 386, pages 502-523.
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Chang Yang, Jonathan Claustre & Fabrice Deluzet. (2018) Iterative Solvers for Elliptic Problems with Arbitrary Anisotropy Strengths. Multiscale Modeling & Simulation 16:4, pages 1795-1823.
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Pierre Degond & Fabrice Deluzet. (2017) Asymptotic-Preserving methods and multiscale models for plasma physics. Journal of Computational Physics 336, pages 429-457.
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Bashar Zogheib & Emran Tohidi. (2017) An Accurate Space–Time Pseudospectral Method for Solving Nonlinear Multi-Dimensional Heat Transfer Problems. Mediterranean Journal of Mathematics 14:1.
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Thomas Blanc, Mihai Bostan & Franck Boyer. (2017) Asymptotic analysis of parabolic equations with stiff transport terms by a multi-scale approach. Discrete & Continuous Dynamical Systems - A 37:9, pages 4637-4676.
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Florian De Vuyst. (2016) Efficient solvers for time-dependent problems: a review of IMEX, LATIN, PARAEXP and PARAREAL algorithms for heat-type problems with potential use of approximate exponential integrators and reduced-order models. Advanced Modeling and Simulation in Engineering Sciences 3:1.
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Nicolas Crouseilles, Matthieu Kuhn & Guillaume Latu. (2015) Comparison of Numerical Solvers for Anisotropic Diffusion Equations Arising in Plasma Physics. Journal of Scientific Computing 65:3, pages 1091-1128.
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Mihai Bostan. (2014) Strongly anisotropic diffusion problems; asymptotic analysis. Journal of Differential Equations 256:3, pages 1043-1092.
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Andrea Mentrelli & Claudia Negulescu. (2012) Asymptotic-preserving scheme for highly anisotropic non-linear diffusion equations. Journal of Computational Physics 231:24, pages 8229-8245.
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