A class of bound preserving and energy dissipative schemes for solving porous medium equations

报告人: Dr. Yiqi Gu,  Department of Mathematics, National University of Singapore 

时间：2020年9月28日下午6:30-7:30 

地点：工商楼105 

摘要: We have developed a class of bound preserving and energy dissipative schemes for the porous medium equation. The schemes are based on a positivity preserving approach and a perturbation technique, and are shown to be uniquely solvable, bound preserving, and in the first-order case, also energy dissipative. Ample numerical results are presented to validate the theoretical results and demonstrate the effectiveness of the new schemes. 

报告人介绍： 顾亦奇博士, 是浙江大学数学科学学院2012届（08级）信息与计算科学专业优秀毕业生。先后在美国华盛顿大学和普渡大学攻读硕士与博士学位，博士导师沈捷教授。目前为新加坡国立大学博士后研究员。他的研究方向主要为微分方程数值解，计算流体力学，数据科学和机器学习。 

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联系人：王何宇(wangheyu@zju.edu.cn)