70 citations · 433 across the 44 of their papers we have counts for
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Ensemble Inference Methods for Models With Noisy and Expensive Likelihoods
Oliver R. A. Dunbar, Andrew B. Duncan, Andrew M. Stuart +1
The increasing availability of data presents an opportunity to calibrate unknown parameters which appear in complex models of phenomena in the biomedical, physical and social scien…
Lagrangian schemes for Wasserstein gradient flows
Jose A. Carrillo, Daniel Matthes, Marie-Therese Wolfram
This paper reviews different numerical methods for specific examples of Wasserstein gradient flows: we focus on nonlinear Fokker-Planck equations,but also discuss discretizations o…
Numerical study of Bose-Einstein condensation in the Kaniadakis-Quarati model for bosons
José A. Carrillo, Katharina Hopf, Marie-Therese Wolfram
Kaniadakis and Quarati (1994) proposed a Fokker--Planck equation with quadratic drift as a PDE model for the dynamics of bosons in the spatially homogeneous setting. It is an open…
Numerical simulation of nonlinear continuity equations by evolving diffeomorphisms
José A. Carrillo, Helene Ranetbauer, Marie-Therese Wolfram
In this paper we present a numerical scheme for nonlinear continuity equations, which is based on the gradient flow formulation of an energy functional with respect to the quadrati…
A Semi-Lagrangian scheme for a modified version of the Hughes model for pedestrian flow
Elisabetta Carlini, Adriano Festa, Francisco J. Silva +1
In this paper we present a Semi-Lagrangian scheme for a regularized version of the Hughes model for pedestrian flow. Hughes originally proposed a coupled nonlinear PDE system descr…