A numerical solver for a nonlinear Fokker-Planck equation representation of neuronal network dynamics

DOI10.1016/j.jcp.2010.10.027zbMath1217.82062OpenAlexW2167723409MaRDI QIDQ630334

Louis Tao, José Antonio Carrillo, Maria José Cáceres

Publication date: 17 March 2011

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2010.10.027

zbMATH Keywords

Fokker-Planck equationneural networksMonte Carlo simulationkinetic equationsWENO methodChang-Cooper methoddeterministic methods

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Neural nets applied to problems in time-dependent statistical mechanics (82C32) Finite difference methods for boundary value problems involving PDEs (65N06)

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