短课程：Introduction to Spectral Methods for Scientific Computing

任课教师：教授（美国普渡大学）、（新加坡南洋理工大学）

课程内容简介：

This is an introduction course on spectral methods for solving partial differential equations (PDEs). We shall present some basic theoretical results on spectral approximations as well as practical algorithms for implementing spectral methods. We shall specially emphasize on how to design efficient and accurate spectral algorithms for solving PDEs of current interest.

Topics:

• basic results for polynomial approximations

• Galerkin method using Legendre and Chebyshev polynomials

• Collocation method using Legendre and Chebyshev polynomials

• Applications 

课程安排：

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2017年4月12日