Quasi-interpolation for high-dimensional function approximation

The paper proposes a general quasi-interpolation scheme for high-dimensional function approximation. To facilitate error analysis, we view our quasi-interpolation as a two-step procedure. In the first step, we approximate a target function by a purpose-built convolution operator (with an error term...

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Bibliographic Details
Published in:	Numerische Mathematik Vol. 156; no. 5; pp. 1855 - 1885
Main Authors:	Gao, Wenwu, Wang, Jiecheng, Sun, Zhengjie, Fasshauer, Gregory E.
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2024 Springer Nature B.V
Subjects:	Approximation Convolution Dimensional analysis Discretization Error analysis Interpolation Mathematical and Computational Engineering Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Numerical Analysis Numerical and Computational Physics Operators (mathematics) Quadratures Regularization Simulation Theoretical 41A25 65D40 41A30 41A63 65D15 41A05 42B05
ISSN:	0029-599X, 0945-3245
Online Access:	Get full text
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