High-dimensional approximation with kernel-based multilevel methods on sparse grids

Moderately high-dimensional approximation problems can successfully be solved by combining univariate approximation processes using an intelligent combination technique. While this has so far predominantly been done with either polynomials or splines, we suggest to employ a multilevel kernel-based a...

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Bibliographic Details
Published in:	Numerische Mathematik Vol. 154; no. 3-4; pp. 485 - 519
Main Authors:	Kempf, Rüdiger, Wendland, Holger
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2023 Springer Nature B.V
Subjects:	Approximation Kernels Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Numerical Analysis Numerical and Computational Physics Polynomials Simulation Spline functions Theoretical 65D15 65D12 46E22 41A63
ISSN:	0029-599X, 0945-3245
Online Access:	Get full text
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