ON ONE-SIDED FILTERS FOR SPECTRAL FOURIER APPROXIMATIONS OF DISCONTINUOUS FUNCTIONS

被引：19

作者：

CAI, W

GOTTLIEB, D

SHU, CW

机构：

[1] BROWN UNIV,DEPT APPL MATH,PROVIDENCE,RI 02912

[2] NASA,LANGLEY RES CTR,ICASE,HAMPTON,VA 23665

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1992年 / 29卷 / 04期

关键词：

ONE-SIDED FILTER; SPECTRAL METHOD; DISCONTINUOUS FUNCTION;

D O I：

10.1137/0729055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper the existence of one-sided filters is proved for spectral Fourier approximations of discontinuous functions, which can recover spectral accuracy up to the discontinuity from one side. A least square procedure is used to construct such a filter and is tested on several discontinuous functions numerically

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页码：905 / 916

页数：12

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