【反问题】系列学术报告（7）
报告题目：Numerical Algorithms for Inverse Spectral Problems Based on Trace Formulas
报告人： 徐翔（研究员）， 浙江大学
时间：2020/12/29 周二 10：00-11：00
腾讯会议 ID：337 592 695
会议密码：201229
摘要： In this talk, we will discuss some recent progress on numerical algorithm for inverse spectral problem for the Sturm-Liouville, Euler-Bernoulli and damped wave operator. Instead of inverting the map from spectral data to unknown coefficients directly, we propose a novel method to reconstruct the coefficients based on inverting a sequence of trace formulas which bridge the spectral and geometry information clearly in terms of a series of nonlinear Fredholm integral equations. Numerical experiments are presented to verify the validity and effectiveness of the proposed numerical algorithm. The impact of different parameters involved in the algorithm is also discussed. This is a joint work with Gang Bao and Jian Zhai.
报告人简介： 徐翔，浙江大学数学科学学院研究员。徐翔的研究主要集中在反问题的理论与计算，共发表SCI论文20余篇，引用500余次，部分论文被列为ESI高被引论文和Inverse Problems亮点收录。主持国家自然科学基金委面上项目，参与国家自然科学基金委创新群体项目、重大研究计划重点项目、国际（地区）交流合作等多项项目。现担任中国计算数学会第十届理事，浙江省数学会第十二届理事。
