Structure Preserving Schemes for a Class of Wasserstein Gradient Flows

被引：0
作者：
Shiheng Zhang [1 ]
Jie Shen [2 ]
机构：
[1] Department of Applied Mathematics, University of Washington, Seattle, 98195, WA
[2] School of Mathematical Science, Eastern Institute of Technology, Zhejiang, Ningbo
来源：
Communications on Applied Mathematics and Computation | 2025年 / 7卷 / 3期
基金：
中国国家自然科学基金;
关键词：
Energy stability; Porous media equation (PME); Positivity preserving; Wasserstein gradient flow;
D O I：
10.1007/s42967-025-00486-2
中图分类号：
学科分类号：
摘要：
We introduce in this paper two time discretization schemes tailored for a range of Wasserstein gradient flows. These schemes are designed to preserve mass and 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. © Shanghai University 2025.
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页码：1174 / 1194
页数：20
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