Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4641529 | Journal of Computational and Applied Mathematics | 2009 | 8 Pages |
Abstract
In this paper, we construct a univariate quasi-interpolation operator to non-uniformly distributed data by cubic multiquadric functions. This operator is practical, as it does not require derivatives of the being approximated function at endpoints. Furthermore, it possesses univariate quadratic polynomial reproduction property, strict convexity-preserving and shape-preserving of order 3 properties, and a higher convergence rate. Finally, some numerical experiments are shown to compare the approximation capacity of our quasi-interpolation operator with that of Wu and Schaback's quasi-interpolation scheme.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Renzhong Feng, Feng Li,