Structure Preserving Schemes for Nonlinear Fokker–Planck Equations and Applications

Fokker–Planck equations in the modeling of socio-economic phenomena

(2017) Giulia Furioli et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

High Order Semi-implicit Schemes for Time Dependent Partial Differential Equations

(2016) Sebastiano Boscarino et al.   JOURNAL OF SCIENTIFIC COMPUTING

Phase Transitions in a Kinetic Flocking Model of Cucker--Smale Type

(2016) Alethea B. T. Barbaro et al.   MULTISCALE MODELING & SIMULATION

Entropy-dissipative discretization of nonlinear diffusion equations and discrete Beckner inequalities

(2015) Claire Chainais-Hillairet et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Analysis of the Chang–Cooper discretization scheme for a class of Fokker–Planck equations

(2015) Masoumeh Mohammadi et al.   Journal of Numerical Mathematics

A Finite-Volume Method for Nonlinear Nonlocal Equations with a Gradient Flow Structure

(2014) José A. Carrillo et al.   Communications in Computational Physics

Phase transition and diffusion among socially interacting self-propelled agents

(2014) Alethea B. T. Barbaro et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

Numerical methods for kinetic equations

(2014) G. Dimarco et al.   ACTA NUMERICA

On the Chang and Cooper scheme applied to a linear Fokker-Planck equation

(2013) Christophe Buet et al.   Communications in Mathematical Sciences

Binary Interaction Algorithms for the Simulation of Flocking and Swarming Dynamics

(2013) G. Albi et al.   MULTISCALE MODELING & SIMULATION

A Finite Volume Scheme for Nonlinear Degenerate Parabolic Equations

(2012) Marianne Bessemoulin-Chatard et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A mixed finite element method for nonlinear diffusion equations

(2010) Martin Burger et al.   Kinetic and Related Models

Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model

(2010) J. A. Carrillo et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS