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

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. © 2003 Elsevier Inc. All rights reserved.