报告人: 何果（暨南大学）

报告题目: Fast construction of the Hermite interpolation and quadrature in Chebyshev points

报告摘要：In this talk, we propose an algorithm for the fast construction of Hermite interpolation in Chebyshev-type points and the corresponding quadrature rules which are extensions of Clenshaw-Curtis rules and Fejer formulas of type I and II. The fast algorithm presented in this talk only needs O(NlogN) operations for N points, which is almost optimal. This fast algorithm is designed by the fast implementation of Fast Fourier Transform, Discrete Sine Transform, Discrete Cosine Transform and their inverse transforms. This fast algorithm may play an important role in constructing numerical quadrature rules and numerical evaluation of integral equations.

报告人简介：何果，博士毕业于中南大学数学院，现为暨南大学数学系讲师，主要研究兴趣为函数逼近理论、高振荡问题数值方法。目前主持博士后基金一项，在SIAM Journal on Scientific Computing，Advances in Computational Mathematics 等计算数学权威期刊发表论文多篇。

报告时间: 2017年12月18日（星期一）下午3:20-4:10

报告地点: 科技楼南楼702