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math.AP2019
A particle method for the homogeneous Landau equation
Jose A. Carrillo, Jingwei Hu, Li Wang +1
We propose a novel deterministic particle method to numerically approximate the Landau equation for plasmas. Based on a new variational formulation in terms of gradient flows of th…
math.NA2019
Fisher information regularization schemes for Wasserstein gradient flows
Wuchen Li, Jianfeng Lu, Li Wang
We propose a variational scheme for computing Wasserstein gradient flows. The scheme builds upon the Jordan--Kinderlehrer--Otto framework with the Benamou-Brenier's dynamic formula…
math.NA2019
Primal dual methods for Wasserstein gradient flows
Jose A. Carrillo, Katy Craig, Li Wang +1
Combining the classical theory of optimal transport with modern operator splitting techniques, we develop a new numerical method for nonlinear, nonlocal partial differential equati…