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

Abstract

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 S3 5p∆ p2q mnq. Moreover, the properties of the proposed quasi-interpolation operators are studied, as well as its applications for solving the two-dimensional Burgers’ equation and image reconstruction. Some numerical examples show that these methods, which are easy to implement, provide accurate results.

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Cite this paper

@inproceedings{Yu2017QuasiInterpolationOF, title={Quasi-Interpolation Operators for Bivariate Quintic Spline Spaces and Their Applications}, author={Rengui Yu and Chungang Zhu and Xianmin Hou and Li Yin and Fazal Mahmood Mahomed}, year={2017} }