Recent development on reduced order models for parameterized PDEs based on dynamic mode decomposition

讲座题目： Recent development on reduced order models for parameterized PDEs based on dynamic mode decomposition
讲座时间 Datetime: 2026年10月30日，周五，16：00-17：00
地点 Venue: 海琴2号A455
主持人 Host：彭亚群 副教授
报告人 Speaker: 孙祥 副教授
单位 Affiliation: 中国海洋大学 数学科学学院
报告摘要：
Accurately constructing a reduced order model (ROM) of parameterized partial differential equations (PDEs) has always been a challenging problem in engineering and applied sciences. Dynamic mode decomposition (DMD) is a popular data-driven method and proposed for the ROM of time-dependent problems. However, it is invalid for the parameterized problems. In this talk, we will first extend the DMD to the parameterized problems and then introduce recent development. We apply the proposed methods to various parameterized PDEs. The results demonstrate the applicability and efficiency of the proposed ROMs. Furthermore, the proposed ROMs show better predictive ability than the POD-based ROMs outside of the training time region.
报告人简介：
孙祥，中国海洋大学副教授，硕士生导师。主要研究领域为模型降阶、不确定性量化以及机器学习。在Journal of Computational Physics, Journal of Scientific Computing以及Communications in Computational Physics等计算数学高水平期刊上发表学术论文30余篇。主持国家科技重大专项、国家自然科学基金青年项目、山东省自然科学基金、国家实验室科技创新项目等各类项目共7项。