3 papers
math.NA2026
Scalar-Tracking SAV Schemes with Pullback Corrections for Gradient Flows
Shiheng Zhang, Jie Shen
The scalar auxiliary variable (SAV) method constructs linear, unconditionally energy-stable time discretizations of gradient flows. In a first-order SAV step, eliminating the auxil…
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…
math.NA2024
Structure preserving schemes for a class of Wasserstein gradient flows
Shiheng Zhang, Jie Shen
We introduce in this paper two time discretization schemes tailored for a range of Wasserstein gradient flows. These schemes are designed to preserve mass, positivity and to be uni…