On stable local bases for bivariate polynomial spline spaces

Davydov, Oleg and Schumaker, Larry L. (2001) On stable local bases for bivariate polynomial spline spaces. Constructive Approximation, 18 (1). pp. 87-116. ISSN 0176-4276 (https://doi.org/10.1007/s00365-001-0006-8)

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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.

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• Item metadata

  Item type:	Article
  ID code:	4542
  Dates:	Date Event 31 January 2001 Published
  Subjects:	Science > Mathematics > Probabilities. Mathematical statistics Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Strathprints Administrator
  Date deposited:	01 Nov 2007
  Last modified:	08 Apr 2024 15:43
  URI:	https://strathprints.strath.ac.uk/id/eprint/4542