Hypocoercivity and diffusion limit of a finite volume scheme for linear kinetic equations
From MaRDI portal
Publication:5216724
DOI10.1090/mcom/3490zbMath1440.65108arXiv1812.05967OpenAlexW2974509411WikidataQ127229234 ScholiaQ127229234MaRDI QIDQ5216724
Thomas Rey, Marianne Bessemoulin-Chatard, Maxime Herda
Publication date: 18 February 2020
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.05967
Asymptotic behavior of solutions to PDEs (35B40) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Fokker-Planck equations (35Q84) Finite volume methods applied to problems in statistical mechanics (82M12)
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Cites Work
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- On the Chang and Cooper scheme applied to a linear Fokker-Planck equation
- Fractional diffusion limit for collisional kinetic equations
- A mixed finite element method for nonlinear diffusion equations
- The nonaccretive radiative transfer equations: Existence of solutions and Rosseland approximation
- Boundary layers and homogenization of transport processes
- The mathematical theory of dilute gases
- Diffusive limit for finite velocity Boltzmann kinetic models
- A particle micro-macro decomposition based numerical scheme for collisional kinetic equations in the diffusion scaling
- Residual equilibrium schemes for time dependent partial differential equations
- A finite volume scheme for boundary-driven convection-diffusion equations with relative entropy structure
- A structure preserving scheme for the Kolmogorov-Fokker-Planck equation
- Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential
- Coercivity, hypocoercivity, exponential time decay and simulations for discrete Fokker-Planck equations
- Hypoelliptic second order differential equations
- A practical difference scheme for Fokker-Planck equations
- APPROXIMATION BY HOMOGENIZATION AND DIFFUSION OF KINETIC EQUATIONS
- Numerical Schemes for Kinetic Equations in the Anomalous Diffusion Limit. Part I: The Case of Heavy-Tailed Equilibrium
- Entropy Methods for Diffusive Partial Differential Equations
- Numerical hypocoercivity for the Kolmogorov equation
- Analysis of an Asymptotic Preserving Scheme for Linear Kinetic Equations in the Diffusion Limit
- Solving the Boltzmann Equation in N log2N
- A High-Order Asymptotic-Preserving Scheme for Kinetic Equations Using Projective Integration
- Hypocoercivity
- Existence of solutions and diffusion approximation for a model Fokker-Planck equation
- Convergence of Moment Methods for Linear Kinetic Equations
- An Asymptotic-Induced Scheme for Nonstationary Transport Equations in the Diffusive Limit
- Uniformly Accurate Diffusive Relaxation Schemes for Multiscale Transport Equations
- Asymptotic-Preserving Monte Carlo Methods for Transport Equations in the Diffusive Limit
- Introduction to hypocoercive methods and applications for simple linear inhomogeneous kinetic models
- Numerical methods for kinetic equations
- Diffusion Approximation and Computation of the Critical Size
- A Finite Volume Scheme for Nonlinear Degenerate Parabolic Equations
- Hypocoercivity-compatible Finite Element Methods for the Long-time Computation of Kolmogorov's Equation
- A New Asymptotic Preserving Scheme Based on Micro-Macro Formulation for Linear Kinetic Equations in the Diffusion Limit
- Hypocoercivity for linear kinetic equations conserving mass
- Asymptotic behaviour of a finite-volume scheme for the transient drift-diffusion model
- Identification of Asymptotic Decay to Self-Similarity for One-Dimensional Filtration Equations
- Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus
- A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
- Large-time behaviour of a family of finite volume schemes for boundary-driven convection–diffusion equations
