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Indexed by:期刊论文

Date of Publication:2004-09-01

Journal:Journal of Information and Computational Science

Included Journals:Scopus、EI

Volume:1

Issue:1

Page Number:107-112

ISSN No.:15487741

Key Words:Algebra; Computation theory; Geometry; Interpolation; Numerical methods, Bivariate spline space; Generator basis; Lagrange interpolation set; Multivariate spline; Necessary conditions; Smoothing cofactor, Triangulation

Abstract:In this paper, a constructive method is presented for Lagrange interpolation set in a given bivariate spline space from the view of the generator basis of modules. Some results and necessary conditions for Lagrange interpolation set in S21(  22(2)) and S31(  22(1)) are given. The mentioned method can be easily extended to study the problem of Lagrange interpolation set in any multivariate spline space.