A high-order semi-Lagrangian finite difference method for nonlinear Vlasov and BGK models

DOI10.1007/s42967-021-00156-zOpenAlexW4205439928MaRDI QIDQ2692148

Jing-Mei Qiu, Linjin Li, Giovanni Russo

Publication date: 21 March 2023

Published in: Communications on Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42967-021-00156-z

zbMATH Keywords

linear stabilityfinite differenceBGK equationsemi-LagrangianVlasov-PoissonWENO

Mathematics Subject Classification ID

Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25)

Related Items (1)

Implicit integration of nonlinear evolution equations on tensor manifolds

Uses Software

• Vador

Cites Work

• Unnamed Item
• High order semi-Lagrangian methods for the BGK equation
• High order strong stability preserving time discretizations
• Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow
• A flux-form version of the conservative semi-Lagrangian multi-tracer transport scheme (CSLAM) on the cubed sphere grid
• Comparison of Eulerian Vlasov solvers
• A semi-Lagrangian discontinuous Galerkin (DG)-local DG method for solving convection-diffusion equations
• A conservative high order semi-Lagrangian WENO method for the Vlasov equation
• On the positivity of linear weights in WENO approximations
• Semilagrangian schemes applied to moving boundary problemsfor the BGK model of rarefied gas dynamics
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Weighted essentially non-oscillatory schemes
• Conservative semi-Lagrangian schemes for Vlasov equations
• Implicit-explicit schemes for BGK kinetic equations
• Convergence of a Semi-Lagrangian Scheme for the BGK Model of the Boltzmann Equation
• Nonoscillatory Interpolation Methods Applied to Vlasov-Based Models
• High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
• Convergence of a Semi-Lagrangian Scheme for the Ellipsoidal BGK Model of the Boltzmann Equation
• Asymptotic-Preserving and Positivity-Preserving Implicit-Explicit Schemes for the Stiff BGK Equation
• High-Resolution Conservative Algorithms for Advection in Incompressible Flow
• High Order Conservative Semi-Lagrangian Scheme for the BGK Model of the Boltzmann Equation
• Conservative numerical schemes for the Vlasov equation

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