Structure preserving schemes for a class of Wasserstein gradient flows
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866929418905059328 |
|---|---|
| author | Zhang, Shiheng Shen, Jie |
| author_facet | Zhang, Shiheng Shen, Jie |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_09416 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Structure preserving schemes for a class of Wasserstein gradient flows Zhang, Shiheng Shen, Jie Numerical Analysis 65M12, 35K61, 35K55, 65Z05 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. |
| title | Structure preserving schemes for a class of Wasserstein gradient flows |
| topic | Numerical Analysis 65M12, 35K61, 35K55, 65Z05 |
| url | https://arxiv.org/abs/2407.09416 |