Structure preserving schemes for a class of Wasserstein gradient flows

Autor:	Zhang, Shiheng, Shen, Jie
Rok vydání:	2024
Předmět:	Mathematics - Numerical Analysis 65M12 35K61 35K55 65Z05
Druh dokumentu:	Working Paper
Popis:	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. Comment: 21 pages, 7 figures, presented in 2024 SIAM Annual
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.09416 Zobrazit plný text záznamu View this record from Arxiv