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Journal of Scientific Computing

Erschienen in:

26.07.2017

Structure Preserving Schemes for Nonlinear Fokker–Planck Equations and Applications

verfasst von: Lorenzo Pareschi, Mattia Zanella

Erschienen in: Journal of Scientific Computing | Ausgabe 3/2018

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Abstract

In this paper we focus on the construction of numerical schemes for nonlinear Fokker–Planck equations that preserve the structural properties, like non negativity of the solution, entropy dissipation and large time behavior. The methods here developed are second order accurate, they do not require any restriction on the mesh size and are capable to capture the asymptotic steady states with arbitrary accuracy. These properties are essential for a correct description of the underlying physical problem. Applications of the schemes to several nonlinear Fokker–Planck equations with nonlocal terms describing emerging collective behavior in socio-economic and life sciences are presented.

Vorheriger Artikel Spectral Methods for Substantial Fractional Differential Equations

Nächster Artikel Field-Aligned Interpolation for Semi-Lagrangian Gyrokinetic Simulations

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Titel: Structure Preserving Schemes for Nonlinear Fokker–Planck Equations and Applications
verfasst von: Lorenzo Pareschi
Mattia Zanella
Publikationsdatum: 26.07.2017
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 3/2018
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-017-0510-z

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