Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4643168 | Journal of Computational and Applied Mathematics | 2006 | 13 Pages |
Abstract
In this paper, univariate and bivariate orthonormal spline functions with small compact supports are constructed. The properties of orthonormal splines are explored. Furthermore, cardinal spline functions with small compact supports are built. Numerical integration formulas are created as the applications of the cardinal splines. The method can also be used to construct high-dimensional orthonormal splines, which are not cross products of univariate splines and have their own advantages.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xiaoyan Liu,