2 papers
math.NA2025
Asymptotic-Preserving Dynamical Low-Rank Method for the Stiff Nonlinear Boltzmann Equation
Lukas Einkemmer, Jingwei Hu, Shiheng Zhang
In kinetic theory, numerically solving the full Boltzmann equation is extremely expensive. This is because the Boltzmann collision operator involves a high-dimensional, nonlinear i…
math.NA2024
SAV-based entropy-dissipative schemes for a class of kinetic equations
Shiheng Zhang, Jie Shen, Jingwei Hu
We introduce novel entropy-dissipative numerical schemes for a class of kinetic equations, leveraging the recently introduced scalar auxiliary variable (SAV) approach. Both first a…