MATH COLLOQUIUM

 

Thursday, October 17, 2019; 2:30 pm, Chase 319

Speaker: Hermann Brunner (Hong Kong Baptist University)

Title: Recent developments in the numerical analysis of Volterra integral equations

Abstract:

In the first part of my talk I will give a brief survey of the convergence properties of collocation methods (in spaces of continuous or discontinuous piecewise polynomials) for classical Volterra integral equations (VIEs) of the first and second kind (including equations with weakly singular kernels). The second part will focus on VIEs whose underlying operator is not compact (also known as cordial VIEs). Since such an integral operator possesses an uncountable spectrum, the existence of collocation solutions is not always guaranteed. A number of concrete examples will be used to illuminate various aspects of this problem.

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Dr. Hermann Brunner is Research Professor in the Department of Mathematics of Hong Kong Baptist University. He is also Professor Emeritus in the Department of Mathematics and Statistics of Memorial University, and an Adjunct Professor in our department.

 

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#319 Colloquium Room, Chase Building