Uniformly accurate methods for Vlasov equations with non-homogeneous strong magnetic field

DOI10.1090/mcom/3436zbMath1416.65189arXiv1802.03067OpenAlexW2963136631WikidataQ128181511 ScholiaQ128181511MaRDI QIDQ5226657

Mohammed Lemou, Philippe Chartier, Xiaofei Zhao, Nicolas Crouseilles, Florian Méhats

Publication date: 1 August 2019

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.03067

zbMATH Keywords

high oscillationsuniform accuracytwo-scale methodsnon-homogeneous strong magnetic fieldVlasov and Vlasov-Poisson equations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Vlasov equations (35Q83) Numerical methods for stiff equations (65L04)

Related Items (13)

Large-stepsize integrators for charged-particle dynamics over multiple time scales ⋮ Geometric continuous-stage exponential energy-preserving integrators for charged-particle dynamics in a magnetic field from normal to strong regimes ⋮ Semi-discretization and full-discretization with improved accuracy for charged-particle dynamics in a strong nonuniform magnetic field ⋮ Multiscale Numerical Schemes for the Collisional Vlasov Equation in the Finite Larmor Radius Approximation Regime ⋮ Structure-preserving algorithms with uniform error bound and long-time energy conservation for highly oscillatory Hamiltonian systems ⋮ Uniformly Accurate Methods for Three Dimensional Vlasov Equations under Strong Magnetic Field with Varying Direction ⋮ Continuous-stage adapted exponential methods for charged-particle dynamics with arbitrary magnetic fields ⋮ Asymptotically preserving particle methods for strongly magnetized plasmas in a torus ⋮ Comparison of numerical methods for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime ⋮ Convergence analysis of asymptotic preserving schemes for strongly magnetized plasmas ⋮ Error Estimates of Some Splitting Schemes for Charged-Particle Dynamics under Strong Magnetic Field ⋮ Long term analysis of splitting methods for charged-particle dynamics ⋮ Explicit exponential algorithms for two-dimensional charged-particle dynamics with non-homogeneous electromagnetic fields

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