Stability of symmetric Runge-Kutta methods for neutral delay integral-differential equations

题目:Stability of symmetric Runge-Kutta methods for neutral delay integral-differential equations

报告人:赵景军 教授,哈尔滨工业大学

报告时间:2018年4月2日15:00至16:00

报告地点:知新楼B1248

摘要:In this talk, we will analyze the delay-dependent stability of symmetric Runge-Kutta methods, including the Gauss methods and the Lobatto IIIA, IIIB and IIIS methods, for the linear neutral delay integral-differential equations. By means of the root locus technique, the structure of 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. Finally, some numerical examples are presented to illustrate the theoretical results.

邀请人:赵卫东