Abstract
This chapter gives a short, up-to-date survey of some recent developments in the research on radial basis functions. Among its other new achievements, we consider results on convergence rates of interpolation with radial basis functions, and also recent contributions on approximation on spheres and on computation of interpolants with Krylov space methods.
Keywords
Radial basis functionInterpolation (computer graphics)Convergence (economics)ComputationApplied mathematicsMathematicsSpace (punctuation)Basis (linear algebra)Mathematical optimizationComputer scienceAlgorithmGeometryArtificial intelligenceEconomics
Related Publications
Scattered Data Approximation
Many practical applications require the reconstruction of a multivariate function from discrete, unstructured data. This book gives a self-contained, complete introduction into ...
Precise density-functional method for periodic structures
A density-functional method for calculations on periodic systems (periodicity in one, two, or three dimensions) is presented in which all aspects of numerical precision are effi...
Interpolation revisited [medical images application]
Based on the theory of approximation, this paper presents a unified analysis of interpolation and resampling techniques. An important issue is the choice of adequate basis funct...
Nonlinear approximation
This is a survey of nonlinear approximation, especially that part of the subject which is important in numerical computation. Nonlinear approximation means that the approximants...
Computation of electron repulsion integrals using the rys quadrature method
Abstract Following an earlier proposal to evaluate electron repulsion integrals over Gaussian basis functions by a numerical quadrature based on a set of orthogonal polynomials ...
Publication Info
- Year
- 2001
- Type
- book-chapter
- Pages
- 25-43
- Citations
- 31
- Access
- Closed
External Links
Social Impact
Altmetric
PlumX Metrics
Social media, news, blog, policy document mentions
Citation Metrics
31
OpenAlex
Cite This
Martin Buhmann
(2001).
Approximation and interpolation with radial functions.
Cambridge University Press eBooks
, 25-43.
https://doi.org/10.1017/cbo9780511569616.003
Identifiers
- DOI
- 10.1017/cbo9780511569616.003