On stable local bases for bivariate polynomial spline spaces

Oleg Davydov, Larry L. Schumaker

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

Stable locally supported bases are constructed for the spaces \cal S d r (\triangle) of polynomial splines of degree d≥ 3r+2 and smoothness r defined on triangulations \triangle , as well as for various superspline subspaces. In addition, we show that for r≥ 1 , in general, it is impossible to construct bases which are simultaneously stable and locally linearly independent.
LanguageEnglish
Pages87-116
Number of pages30
JournalConstructive Approximation
Volume18
Issue number1
DOIs
Publication statusPublished - 31 Jan 2001

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Bivariate Splines
Polynomial Splines
Triangulation
Splines
Triangle
Polynomials
Smoothness
Linearly
Subspace

Keywords

  • approximation
  • mathematics
  • probabilities
  • polynomials

Cite this

Davydov, Oleg ; Schumaker, Larry L. / On stable local bases for bivariate polynomial spline spaces. In: Constructive Approximation. 2001 ; Vol. 18, No. 1. pp. 87-116.
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On stable local bases for bivariate polynomial spline spaces. / Davydov, Oleg; Schumaker, Larry L.

In: Constructive Approximation, Vol. 18, No. 1, 31.01.2001, p. 87-116.

Research output: Contribution to journalArticle

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