This report is concerned with the delay-dependent stability of symmetric boundary value methods (including the Extended Trapezoidal Rules of first and second kind, the Top Order Methods and the B-spline linear multistep methods) and symmetric Runge-Kutta methods (including the Gauss methods and the Lobatto IIIA, IIIB and IIIS methods) for the linear neutral delay integro-differential equation. By using the boundary locus technique, the delay-dependent stability regions of symmetric methods are analyzed and their boundary loci are discussed. It is proved that, under some conditions, the analytical stability region is contained in the numerical stability region.

报告人简介:  哈尔滨工业大学数学系教授、博士生导师。现任中国系统仿真学会算法委员会理事、黑龙江省工业与应用数学学会常务理事。主要从事延迟微分方程、分数阶微分方程及积分方程的数值计算。近年来，发表相关SCI学术论文四十余篇。