Structure preserving schemes for mean-field equations of collective behavior

DOI10.1007/978-3-319-91548-7_31zbMath1412.65087arXiv1705.06360OpenAlexW2615582835MaRDI QIDQ1722584

Mattia Zanella, Lorenzo Pareschi

Publication date: 18 February 2019

Full work available at URL: https://arxiv.org/abs/1705.06360

zbMATH Keywords

Fokker-Planck equationscollective behaviormean-field equationsstructure preserving methods

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) Developmental biology, pattern formation (92C15) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Economic models of real-world systems (e.g., electricity markets, etc.) (91B74) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Fokker-Planck equations (35Q84)

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Structure preserving schemes for Fokker-Planck equations with nonconstant diffusion matrices ⋮ Structure preserving stochastic Galerkin methods for Fokker-Planck equations with background interactions ⋮ Hydrodynamic models of preference formation in multi-agent societies ⋮ Monte Carlo gPC methods for diffusive kinetic flocking models with uncertainties ⋮ On a class of Fokker-Planck equations with subcritical confinement

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