报告人：程青（同济大学）

时间：7月1日，14:00-16:00

地点：海纳苑2幢206

摘要：In the talk, I will introduce a new approach to construct efficient and accurate structure-preserving schemes for a class of constrained PDEs. To be more specific, I will introduce how to construct positivity/bound-preserving, length-preserving, energy-dissipative schemes for a large class of PDEs. I will establish stability results under a general setting, and carry out an error analysis for second-order structure-preserving schemes. Finally, I will apply our approach to several typical PDEs which preserve structures described above. Some numerical results will be presented to validate our approach.

报告人简介：Qing Cheng is currently a faculty member at Tongji University and has been selected for the Shanghai High-Level Talents Program. Dr. Cheng received his Ph.D. from Xiamen University in 2018. He subsequently served as a visiting assistant professor at the Illinois Institute of Technology from 2019 to 2021 and at Purdue University from 2021 to 2023. Dr. Cheng has received support from the National Natural Science Foundation of China and has published academic papers in leading international journals such as SINUM, SISC, CMAME, JCP, JSC. Two of his papers have been selected as ESI Highly Cited Papers.

联系人：李雨文（liyuwen@zju.edu.cn）