Multilevel interpolation and approximation

zbMath0936.41002MaRDI QIDQ1818573

Robert Schaback, Francis J. Narcowich, Joseph D. Ward

Publication date: 15 May 2000

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

zbMATH Keywords

multilevel approximationmultilevel interpolationfunction fitting

Mathematics Subject Classification ID

Multidimensional problems (41A63) Interpolation in approximation theory (41A05)

Related Items

Applying multiquadric quasi-interpolation to solve Burgers' equation, Numerical integration based on a multilevel quartic quasi-interpolation operator, A multilevel sparse kernel-based stochastic collocation finite element method for elliptic problems with random coefficients, Solving Partial Differential Equations with Multiscale Radial Basis Functions, Accurate emulators for large-scale computer experiments, A multiscale support vector regression method on spheres with data compression, A generalized moving least square reproducing kernel method, Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions, Multiscale analysis in Sobolev spaces on bounded domains, Thinning algorithms for scattered data interpolation, Radial basis functions for the multivariate interpolation of large scattered data sets

Cites Work

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• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• Fast evaluation of radial basis functions. I
• Positive definite functions and generalizations, an historical survey
• A practical guide to splines
• Variational principles and Sobolev-type estimates for generalized interpolation on a Riemannian manifold
• Truncated Laurent expansions for the fast evaluation of thin plate splines
• Multistep scattered data interpolation using compactly supported radial basis functions
• Generalized Hermite interpolation and positive definite kernels on a Riemannian manifold
• Error estimates and condition numbers for radial basis function interpolation
• Compactly supported positive definite radial functions
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• Spherical harmonics
• Positive definite functions on spheres
• Improved error bounds for scattered data interpolation by radial basis functions
• Generalized Hermite Interpolation Via Matrix-Valued Conditionally Positive Definite Functions