ANALYSIS OF SPECTRAL APPROXIMATIONS USING PROLATE SPHEROIDAL WAVE FUNCTIONS

被引：0

作者：

Wang, Li-Lian ^{[1
]}

机构：

[1] Nanyang Technol Univ, Div Math Sci, Sch Phys & Math Sci, Singapore 637371, Singapore

来源：

MATHEMATICS OF COMPUTATION | 2010年 / 79卷 / 270期

关键词：

Prolate spheroidal wave functions; bandlimited functions; approximations in Sobolev spaces; spectral methods; quasi-uniform grids; DIFFERENTIATION; QUADRATURE; ELEMENT;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the approximation properties of the prolate spheroidal wave functions of order zero (PSWFs) are studied, and a set of optimal error estimates are derived for the PSWF approximation of non-periodic functions in Sobolev spaces. These results serve as an indispensable tool for the analysis of PSWF spectral methods. A PSWF spectral-Galerkin method is proposed and analyzed for elliptic-type equations. Illustrative numerical results consistent with the theoretical analysis are also presented.

引用

页码：807 / 827

页数：21

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