Abstract
Given gridded cell-average data of a smooth multivariate function, we present a constructive explicit procedure for generating a high-order global approximation of the function. One contribution is the derivation of high-order approximations to point-values of the function directly from the cell-average data. The second contribution is the development of univariate B-spline-based high-order quasi-interpolation operators using cell-average data. Multivariate spline quasi-interpolation approximation operators are obtained by tensor product of the univariate operators.
Original language | English |
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Article number | 85 |
Journal | Advances in Computational Mathematics |
Volume | 48 |
Issue number | 6 |
DOIs | |
State | Published - Dec 2022 |
Keywords
- Cell-average data
- Explicit approximation
- Multivariate
- Quasi-interpolation
- Splines