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Public Lecture: Computing Convolutions - The Story So Far

Guanghua Forum -- Issue No. 4883 -- Forum of Social Celebrities and Entrepreneurs

Topic: Computing Convolutions - The Story So Far

Lecturer:  Assistant Professor Xu Kuan, University of Kent

Moderator: Associate Professor Chen Shan, School of Economic Mathematics

Time: Wednesday, April 18, 2018

Location: Southwestern University of Finance and Economics, Liulin Campus, Tongbo Building, B412

Organizer: Research Department of the Institute of Economics and Mathematics

Introduction to the Speaker:

Assistant Professor, School of Mathematics, Statistics, Actuarial Science, University of Kent, UK, August 2015 - Present;

Postdoctoral Research Fellow, Mathematical Institute, Oxford University, UK, September 2012 - August 2015;

Algorithm Scientist, General Electric Global Research, General Electric, Niskayuna, NY, USA, May 2011 - June 2012;

PhD, Computational Mathematics, New Jersey Institute of Technology & Rutgers, State University of New Jersey, New Jersey, USA, August 2005 - August 2010;

BSc, Computational Mathematics, Beijing University of Aeronautics and Astronautics, Beijing, China, October 2001 - July 2005


Convolution abounds in mathematics and engineering. In this lecture, we'll review classic results in literature on convolution quadrature before moving on to the most recent development of powerful numerical methods for computing convolution integrals. Based on the spectral approximation of convolution operators via classic orthogonal polynomials or Fourier extensions, we'll arrive at fast and spectrally-accurate algorithms which make the calculation of convolution integrals possible in the spirit of "computing with functions" and these new methods are believed to lay the foundation of the spectral methods for convolution integral equations.