Improved accuracy of Lp-approximation to derivatives by radial basis function interpolation

Jungho Yoon

doi:10.1016/j.amc.2003.12.013

Improved accuracy of L_p-approximation to derivatives by radial basis function interpolation

Jungho Yoon

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The present paper considers the approximation to a function and its derivatives by radial basis function interpolation and its derivatives respectively on the Sobolev space. It is known that due to edge effects, we lose some accuracy near the boundary. Thus, the goal of this paper is to show that the convergence rate of the approximation error can be at least doubled when a certain boundary condition is met.

Original language	English
Pages (from-to)	109-119
Number of pages	11
Journal	Applied Mathematics and Computation
Volume	161
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2003.12.013
State	Published - 4 Feb 2005

Bibliographical note

Funding Information:
This work was supported by the Korea Research Foundation Grant of KRF-2003-003-C00015.

Keywords

Interpolation
Multiquadric
Radial basis function
Shifted surface spline
Sobolev space

Access to Document

10.1016/j.amc.2003.12.013

Cite this

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abstract = "The present paper considers the approximation to a function and its derivatives by radial basis function interpolation and its derivatives respectively on the Sobolev space. It is known that due to edge effects, we lose some accuracy near the boundary. Thus, the goal of this paper is to show that the convergence rate of the approximation error can be at least doubled when a certain boundary condition is met.",

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KW - Radial basis function

KW - Shifted surface spline

KW - Sobolev space

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