数学与系统科学研究院

计算数学所学术报告

报告人：        Chengjian Zhang

Department of Computer Science,
Katholieke Universiteit Leuven, Belgium

报告题目 Analytical and Numerical Stability of Volterra
                  Delay-intergro-differential Equations

Abstract: Volterra delay- intergro-differential equations(VDIDEs) arise widely in various scientific fields such as biology, ecology, medicine and physics. This class of equations plays an important role in modeling diverse problems of engineering and natural science, and hence have come to intrigue researchers in numerical computation and theoretical analysis.

For VDIDEs, although some research have been presented, there still exist a lot of open problems keeping to be done both in theory and in computation. Up to now, numerical analysis for VDIDEs were almost all based on the scalar case and the classical Lipschitz condition. In view of this, recently, we developed a series of research for multi-dimensional linear and nonlinear systems of VDIDEs. Where stability theory of systems and their numerical methods were concerned. Some new effective algorithms were derived. In the present talk, the following contents will be introduced:

1 Analytical stability of linear and nonlinear VDIDEs.
2 Stability of Pouzet-Runge-Kutta methods for class RI( ).
3 Stability and validity of the extended general linear methods for class GRI( ).

报告时间：2003年12月4日  下午2：30-3：30

报告地点：科技综合楼三层报告厅