Keynote Speaker:Zhao Jingjun

Abstract:

This report is concerned with the delay-dependent stability analysis of symmetric Runge-Kutta methods, which include the Gauss methods and the Lobatto IIIA, IIIB and IIIS methods, for the second order delay differential equations with three parameters. By using the root locus technique, the root locus curve is given and the numerical stability region of symmetric Runge-Kutta methods is obtained. It is proved that, under some conditions, the analytical stability region is contained in the numerical stability region.

Speaker Introduction:

Zhao Jingjun serves as professor and doctoral supervisor at the School of Mathematics, HIT, and part-time professor and doctoral supervisor of Harbin Engineering University. He visited the University of Cambridge, University of Alberta, University of Hong Kong, and Academy of Mathematics and Systems Science, Chinese Academy of Sciences. He is now a director of the Algorithm Committee of China Simulation Federation and a managing director of the Heilongjiang Society for Industrial and Applied Mathematics, and mainly studies the numerical calculation of differential equations. He has published more than 60 SCI papers in journals such as SIAM J. Numer. Anal. and J. Sci. Comput; presided over 2 projects related to the National Natural Science Foundation, participated in 2 projects related to the National Natural Science Foundation, and 1 project related to National Defense Pre-research Foundation; won one second prize of Heilongjiang Science and Technology Award, and one second prize of Natural Science of Chinese Universities.

Inviter:

Zhao Weidong Professor of School of Mathematics

Time:

14:30-15:30 on November 27 (Friday)

Location:

Tencent Meeting, Meeting ID: 394 943 266

https://meeting.tencent.com/s/5hBQMCJTEzi3

Hosted by: School of Mathematics, Shandong University