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2021/11/3 鄧君豪教授專題演講

演講者:鄧君豪 教授

    國立中興大學應用數學系

日 期:2021年11月3日(星期三14:30

地 點:國立高雄大學理學院408

講 題:Integration preconditioning operators for the Chebyshev-Legendre spectral methods

摘   要:

Spectral and pseudospectral methods have been used to seek approximation solutions to differential equations for decades, due to the superior convergence rates of these methods. However, these numerical differential equations are in general ill-conditioned, and great care must be exercised to avoid inaccurate computations and large computing time. In this talk, we will present integration preconditioning matrices which can be used to reduce the stiffness of numerical schemes, so that the aforementioned issues can be easily resolved. Special attention will be paid upon constructing integration preconditioning matrices for the Legendre approximation methods utilizing Chebyshev grid points, so that by applying these operators numerical differential equations can be solved accurately and efficiently. This is a joint work with T. A. Chen, National Chung Hsing University and with Prof. Y. T. Li, Fu-Jen Catholic University.

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