Davydov, O. and Schumaker, L.L. (2002) On stable local bases for bivariate polynomial spline spaces. Constructive Approximation, 18 (1). pp. 87116. ISSN 01764276

PDF (strathprints004542.pdf)
strathprints004542.pdf Download (448kB)  Preview 
Official URL: http://dx.doi.org/10.1007/s0036500100068
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.
Item type:  Article 

ID code:  4542 
Keywords:  approximation, mathematics, probabilities, polynomials, Probabilities. Mathematical statistics, Mathematics, Computational Mathematics, Analysis, Mathematics(all) 
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:  15 Apr 2015 10:39 
Related URLs:  
URI:  http://strathprints.strath.ac.uk/id/eprint/4542 
Actions (login required)
View Item 