39 citations · 41 across the 10 of their papers we have counts for
11 papers
Explicit charge-conserving and modified energy-conserving PIC methods using the SAV approach
Chengyu Fan, Nicolas Crouseilles, Jingwei Hu
We develop explicit second-order particle-in-cell (PIC) methods for the Vlasov--Ampère and Vlasov--Maxwell systems using the scalar auxiliary variable (SAV) approach. Two schemes a…
A Structure-Preserving Penalization Method for the Single-species Rosenbluth-Fokker-Planck Equation
Hamad El Kahza, Luis Chacón, William Taitano +2
The Rosenbluth-Fokker-Planck (RFP) equation describes Coulomb collisional dynamics within and across species in plasmas. It belongs to the broader class of anisotropic-diffusion-ad…
Dynamical Tensor Train Approximation for Kinetic Equations
Geshuo Wang, Jingwei Hu
The numerical solution of kinetic equations is challenging due to the high dimensionality of the underlying phase space. In this paper, we develop a dynamical low-rank method based…
Score-based deterministic density sampling
Vasily Ilin, Peter Sushko, Jingwei Hu
We propose a deterministic sampling framework using Score-Based Transport Modeling for sampling an unnormalized target density given only its score . Our method…
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…
A particle method for the multispecies Landau equation
José A. Carrillo, Jingwei Hu, Samuel Q. Van Fleet
The multispecies Landau collision operator describes the two-particle, small scattering angle or grazing collisions in a plasma made up of different species of particles such as el…
Fully Discrete Positivity-Preserving and Energy-Dissipating Schemes for Aggregation-Diffusion Equations with a Gradient Flow Structure
Rafael Bailo, Jose A. Carrillo, Jingwei Hu
We propose fully discrete, implicit-in-time finite-volume schemes for a general family of non-linear and non-local Fokker-Planck equations with a gradient-flow structure, usually k…