[12-23]Modified Fourier Analysis

Date:2008-12-21

Title：Modified Fourier Analysis

Speaker：Professor Arieh Iserles
        Department of Applied Mathematics and Theoretical Physics
        Centre for Mathematical Sciences
        University of Cambridge

Time：10:30-11.30 am, December 23 
Venue：Room 334, Building #5 


Abstract:

The main research of Professor Arieh Iserles is on various aspects of

numerical ordinary differential equations. It spans
Geometric integration;
Highly oscillatory integrals in one or more dimensions;
Acceleration of convergence and its connection with complex dynamics;
Approximation by orthogonal linear combinations of exponentials;
The theory of orthogonal and biorthogonal polynomials;
Orthogonality in multivariate Sobolev spaces;
Functional-differential equations with proportional delay;
Infinite-dimensional systems of ODEs and their numerical treatment.