Coercivity, hypocoercivity, exponential time decay and simulations for discrete Fokker-Planck equations

DOI10.1007/s00211-019-01094-yzbMath1435.35385arXiv1802.02173OpenAlexW2996414296WikidataQ115609008 ScholiaQ115609008MaRDI QIDQ2305041

Pauline Lafitte, Guillaume Dujardin, Frederic Hérau

Publication date: 10 March 2020

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.02173

zbMATH Keywords

Fokker-Planck equationsdiscretizations of velocity and spaceexponential convergence to the equilibrium

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Fokker-Planck equations (35Q84)

Related Items (15)

Hypocoercivity with Schur complements ⋮ On a structure-preserving numerical method for fractional Fokker-Planck equations ⋮ Trend to the equilibrium for the Fokker-Planck system with an external magnetic field ⋮ On a discrete framework of hypocoercivity for kinetic equations ⋮ Hybrid kinetic/fluid numerical method for the Vlasov-BGK equation in the diffusive scaling ⋮ Mobility Estimation for Langevin Dynamics Using Control Variates ⋮ A structure and asymptotic preserving scheme for the Vlasov-Poisson-Fokker-Planck model ⋮ Large Time Behavior of Nonlinear Finite Volume Schemes for Convection-Diffusion Equations ⋮ Unnamed Item ⋮ Exact splitting methods for kinetic and Schrödinger equations ⋮ Hypocoercivity-compatible Finite Element Methods for the Long-time Computation of Kolmogorov's Equation ⋮ Fokker-Plank system for movement of micro-organism population in confined environment ⋮ Hypocoercivity and diffusion limit of a finite volume scheme for linear kinetic equations ⋮ Exact splitting methods for semigroups generated by inhomogeneous quadratic differential operators ⋮ A note on hypocoercivity for kinetic equations with heavy-tailed equilibrium

Uses Software

• FV_HipoDiff

Cites Work

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