报告人：于海军研究员

报告题目：Improved Stable Laguerre Methods with Applications

报告摘要：

（1）Laguerre polynomials are orthogonal on the half line with respect to an exponentially decaying weight. It is expected to be the most natural and efficient numerical method for partial differential equations defined on half-unbounded domains. However, the applications of Laguerre polynomials in the literature are limited to small systems (mostly less than 400 Laguerre functions in a 1-d basis) due to the stability issue caused by the unbalanced scaling in the amplitudes of Laguerre polynomials.

（2）We present in this talk some simply but effective techniques to improve the stability of Laguerre methods, which allow us to use as many as more than one thousand Laguerre bases to stably achieve close-to-machine accuracy results for a benchmark problem. We will also present some results of using Laguerre spectral methods in computing transition paths.

报告时间：2023.06.10   下午15:00-18:00

报告形式：腾讯会议；  会议号：854-334-419

获取会议密码请发邮件至：yangchang@hit.edu.cn

       报告人简介：于海军，中国科学院数学与系统科学研究院研究员, 博士生导师，中国科学院大学岗位教授。分别于2002年,2007年获得北京大学学士学位和博士学位。2007-2010年曾先后在美国普林斯顿大学和普渡大学从事博士后研究。主要研究方向为高精度数值方法. 在高维偏微分方程稀疏网格谱方法，非梯度系统的相变路径高精度计算，相场建模和计算，以及微分方程机器学习等方面取得多项创新成果. 2013年获中科院陈景润未来之星称号. 作为课题负责人先后承担过基金委青年、面上、重大研究计划、国际合作等科研项目. 现任北京市计算数学学会理事, 中国工业与应用数学学会大数据与人工智能专委会委员.