[grads] [Sem-coll] Applied Math Colloquium Monday, February 12, 4:40pm Chengjian Zhang

[Robert Ellis]

Please join us for the following colloquium.

Monday, Feb 12, 4:40pm E1 106

Speaker: Chengjian Zhang (Huazhong University of Science and Technology)
Title: "Analytical and Numerical Stability of Nonlinear Volterra 
Delay-integro-dierential Equations"

Abstract
Volterra delay-integro-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 analy- sis.

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 condi- tion. 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 con- cerned. Some new effective 
algorithms were derived. In the present talk, the following contents will 
be introduced:

     * Analytical stability of nonlinear VDIDEs
     * Stability of the extended general linear methods (EGLMs) for class 
GRI(\alpha,\beta,\sigma,\gamma)
     * Computational effectiveness of the EGLMs for class 
GRI(\alpha,\beta,\sigma,\gamma)).


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