Stable approximation and interpolation with C1 quartic bivariate splines

被引：3

作者：

Davydov, O ^{[1
]}

Schumaker, LL

机构：

[1] Univ Giessen, Inst Math, D-35392 Giessen, Germany

[2] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2002年 / 39卷 / 05期

关键词：

bivariate splines; scattered data interpolation; stable approximation;

D O I：

10.1137/S0036142901384472

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show how two recent algorithms for computing C-1 quartic interpolating splines can be stabilized to ensure that, for smooth functions, they provide full approximation power with approximation constants depending only on the smallest angle in the triangulation [C. K. Chui and D. Hong, Math. Comp., 65 (1996), pp. 85-98; C. K. Chui and D. Hong, SIAM J. Numer. Anal., 34 (1997), pp. 1472-1482; D. Hong, Approximation Theory VIII, Vol. 1: Approximation and Interpolation, C. K. Chui and L. L. Schumaker, eds., World Scientific, Singapore, 1995, pp. 249-256].

引用

页码：1732 / 1748

页数：17

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