On a collocation point of view to reproducing kernel methods

DOI10.1007/s40314-021-01612-5zbMath1476.65086OpenAlexW3196048448MaRDI QIDQ2245770

José Claudinei Ferreira

Publication date: 15 November 2021

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

Full work available at URL: https://doi.org/10.1007/s40314-021-01612-5

zbMATH Keywords

numerical methodscollocation methodsfunctional equationsreproducing kernel

Mathematics Subject Classification ID

Positive definite functions in one variable harmonic analysis (42A82) Numerical solutions to equations with nonlinear operators (65J15) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Applications of functional analysis in numerical analysis (46N40)

Related Items (1)

A kernel regression approach for identification of first order differential equations based on functional data

Uses Software

• R

Cites Work

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• Option pricing using a computational method based on reproducing kernel
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• Using reproducing kernel for solving a class of singular weakly nonlinear boundary value problems
• Some properties of Gaussian reproducing kernel Hilbert spaces and their implications for function approximation and learning theory

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