Piecewise-smooth chebfuns

被引：32
|
作者：
Pachon, Ricardo [1 ]
Platte, Rodrigo B. [1 ]
Trefethen, Lloyd N. [1 ]
机构：
[1] Oxford Comp Lab, Oxford OX1 3QD, England
来源：
IMA JOURNAL OF NUMERICAL ANALYSIS | 2010年 / 30卷 / 04期
基金：
英国工程与自然科学研究理事会;
关键词：
edge detection; chebfun system; Chebyshev series; barycentric interpolation; BARYCENTRIC LAGRANGE INTERPOLATION;
D O I：
10.1093/imanum/drp008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Algorithms are described that make it possible to manipulate piecewise-smooth functions on real intervals numerically with close to machine precision. Break points are introduced in some such calculations at points determined by numerical root finding and in others by recursive subdivision or automatic edge detection. Functions are represented on each smooth subinterval by Chebyshev series or interpolants. The algorithms are implemented in object-oriented Matlab in an extension of the chebfun system, which was previously limited to smooth functions on [ - 1, 1].
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页码：898 / 916
页数：19
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