Asymptotic Analysis and Numerical Method for Singularly Perturbed Eigenvalue Problems
Prof. Zhong-Yi Huang
Department of Mathematical Sciences, Tsinghua University

In this talk, we study the asymptotic analysis and numerical method for singularly perturbed eigenvalue problems (SPEP) which arise in fluid mechanics and quantum mechanics. We first make a close asymptotic analysis on the SPEP, and prove the main theorems about the asymptotic behavior of the eigenvalues and eigenfunctions. Then we introduce a new tailored finite point method (TFPM) for numerical solutions of SPEP with higher accuracy. Our numerical examples verify our theory and show the feasibility and efficiency of our method.

About the Speaker

黄忠亿, 清华大学教授。1999年获清华大学理学博士学位, 2000-2002年在普林斯顿大学做博士后研究, 2008年被聘为清华大学教授。一直从事计算数学与科学工程计算方面的研究, 在多尺度问题(尤其是含奇性的数学物理问题)的数值求解方面取得了不少创新性成果, 于2002年获北京市科学技术二等奖, 2008年获BAIL2008国际会议颁发的Pieter Hemker奖, 2013年获优秀青年基金资助。

2018-08-21 11:00 AM
Room: A203 Meeting Room
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