主讲人：香港科技大学 梁承裕教授

时间：2022年03月24日15:00–16:00

腾讯会议号：292-494-826

会议链接：https://meeting.tencent.com/dm/JTsQCphghbAZ

内容摘要： 

We discuss fast Huygens sweeping methods for Schrodinger equations in the semi-classical regime by incorporating short-time Wentzel-Kramers-Brillouin-Jeffreys (WKBJ) propagators into Huygens’ principle. Even though the WKBJ solution is valid only for a short time period due to caustics, Huygens’ principle allows us to construct the global-in-time semi-classical solution. We will present algorithms for solving Poisson-Schrodinger systems and simulating the multi-color optical self-focusing phenomena in nematic liquid crystals. This work is joint with Kaho Ho, Wingfai Kwan, Jianliang Qian, Susana Serna, Helen Tan, and Xiaoping Wang.

主讲人简介:

梁承裕，香港科技大学数学系教授、理学院副院长。主要研究方向为计算数学，研究领域包括偏微分方程数值解、反问题计算、界面问题的计算方法、图像处理与数据科学、计算动力系统等。

Shingyu Leung has been with the Department of Mathematics at the Hong Kong University of Science and Technology (HKUST) since 2009. Before joining HKUST, he was an instructor and postdoc researcher at UC Irvine. He obtained his Ph.D. at UCLA. His research focuses on Eulerian techniques to approximate high-frequency asymptotic solutions to wave phenomena and their related inverse problems, numerical methods for interfacial motions, and variational and statistical methods for image processing. Prof. Leung is currently a Professor of Mathematics and an Associate Dean of Science.