Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Quasi-Interpolation Operators for Bivariate Quintic Spline Spaces and Their Applications

Version 1 : Received: 12 January 2017 / Approved: 12 January 2017 / Online: 12 January 2017 (10:04:06 CET)

A peer-reviewed article of this Preprint also exists.

Yu, R.; Zhu, C.; Hou, X.; Yin, L. Quasi-Interpolation Operators for Bivariate Quintic Spline Spaces and Their Applications. Math. Comput. Appl. 2017, 22, 10. Yu, R.; Zhu, C.; Hou, X.; Yin, L. Quasi-Interpolation Operators for Bivariate Quintic Spline Spaces and Their Applications. Math. Comput. Appl. 2017, 22, 10.

Abstract

Splines and quasi-interpolation operators are important both in approximation theory and applications. In this paper, we construct a family of quasi-interpolation operators for the bivariate quintic spline spaces S53 (∆mn(2)). Moreover, the properties of the proposed quasi-interpolation operators are studied, as well as its applications for solving two-dimensional Burgers’ equation and image reconstruction. Some numerical examples show that these methods, which are easy to implement, provide accurate results.

Keywords

bivariate spline space; quasi-interpolation operator; type-2 triangulation 3; burgers’ equations; image reconstruction

Subject

Computer Science and Mathematics, Mathematics

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.

Leave a public comment
Send a private comment to the author(s)
* All users must log in before leaving a comment
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.