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University of Kent-徐宽教授:Computing convolutions, the story so far

来源: | 2018-04-17 | 发布:经管之家

主题:Computing convolutions, the story so far主讲人:University of Kent  徐宽教授

 主持人:经济数学学院   陈善镇副教授

 时间:2018年4月18日(星期三)下午16:00

 地点:西南财经大学柳林校区通博楼B412

 主办单位:经济数学学院  科研处

主讲人简介:

Experience:Assistant Professor, School of Mathematics, Statistics, and 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 to June 2012Education: PhD, Computational Mathematics, New Jersey Institute of Technology & Rutgers, the State University of New Jersey,  New Jersey, USA, August 2005 - August 2010 BS, Computational Mathematics, Beijing University of Aeronautics and Astronautics, Beijing, China, October 2001 - July 2005

内容提要:

Convolution abounds in mathematics and engineering. In this talk, 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.

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