39 citations · 41 across the 10 of their papers we have counts for
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An optimization-based positivity-preserving limiter in semi-implicit discontinuous Galerkin schemes solving Fokker-Planck equations
Chen Liu, Jingwei Hu, William T. Taitano +1
For high-order accurate schemes such as discontinuous Galerkin (DG) methods solving Fokker-Planck equations, it is desired to efficiently enforce positivity without losing conserva…
Fully discrete energy-dissipative and conservative discrete gradient particle methods for a class of continuity equations
Jingwei Hu, Samuel Q. Van Fleet, Andy T. S. Wan
Structure-preserving particle methods have recently been proposed for a class of nonlinear continuity equations, including aggregation-diffusion equation in [J. Carrillo, K. Craig,…
Transport based particle methods for the Fokker-Planck-Landau equation
Vasily Ilin, Jingwei Hu, Zhenfu Wang
We propose a particle method for numerically solving the Landau equation, inspired by the score-based transport modeling (SBTM) method for the Fokker-Planck equation. This method c…
A Nonlinear, Conservative, Entropic Fokker-Planck Model for Multi-Species Collisions
Evan Habbershaw, Cory D. Hauck, Jingwei Hu +1
A multi-species Fokker-Planck model for simulating particle collisions in a plasma is presented. The model includes various parameters that must be tuned. Under reasonable assumpti…
The Collisional Particle-In-Cell Method for the Vlasov-Maxwell-Landau Equations
Rafael Bailo, José A. Carrillo, Jingwei Hu
We introduce an extension of the particle-in-cell (PIC) method that captures the Landau collisional effects in the Vlasov-Maxwell-Landau equations. The method arises from a regular…