题  目：Efficient Interacting Particle Methods for Computing Near Singular Solutions of Keller-Segel Chemotaxis Systems and High-Dimensional Eigenvalue Problems

内容简介：Mesh-based methods like finite element methods and spectral methods face challenges when solving PDEs with near singular solutions or in high-dimensional spaces. In this talk, we introduce a particle-based method to compute aggregation patterns and near singular solutions of the Keller-Segel chemotaxis system in three-dimensional space and an interacting particle method to calculate the principal eigenvalues of high-dimensional elliptic operators. We also present numerical experiments to demonstrate their performance. Furthermore, we introduce the DeepParticle method for learning and generating the distributions of solutions under variations of physical parameters.

报告人：Zhiwen Zhang（张智文）

报告人简介：Zhiwen Zhang（张智文）received his B.S. degree and Ph.D. Degree in mathematics from Tsinghua University, Beijing, P. R. China, in 2006 and 2011, respectively. After his graduation, he was a postdoctoral scholar at California Institute of Technology from 2011 to 2015. He joined the University of Hong Kong as an Assistant Professor since 2015. Dr. Zhang’s research interests are scientific computation. Research topics include uncertainty quantification and numerical methods for PDEs arising from quantum chemistry, wave propagation, multiscale porous media, nonlinear filtering, and stochastic fluid dynamics.

时  间：2024年7月6日（周六）下午14：00开始

地  点：腾讯会议号59157539380

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信息科学技术学院

2024年6月30日