Structure preserving schemes for a class of Wasserstein gradient flows
Numerical Analysis
2024-07-15 v1 Numerical Analysis
Abstract
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 uniquely solvable. In addition, they also ensure energy dissipation in many typical scenarios. Through extensive numerical experiments, we demonstrate the schemes' robustness, accuracy and efficiency.
Cite
@article{arxiv.2407.09416,
title = {Structure preserving schemes for a class of Wasserstein gradient flows},
author = {Shiheng Zhang and Jie Shen},
journal= {arXiv preprint arXiv:2407.09416},
year = {2024}
}
Comments
21 pages, 7 figures, presented in 2024 SIAM Annual