4 papers
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 metho…
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…