RT Journal Article
T1 Radial basis function interpolation in the limit of increasingly flat basis functions
A1 Kindelan Segura, Manuel
A1 Moscoso, Miguel
A1 González Rodríguez, Pedro
AB We propose a new approach to study Radial Basis Function (RBF) interpolation in the limit of increasingly flat functions. The new approach is based on the semi-analytical computation of the Laurent series of the inverse of the RBF interpolation matrix described in a previous paper [3]. Once the Laurent series is obtained, it can be used to compute the limiting polynomial interpolant, the optimal shape parameter of the RBFs used for interpolation, and the weights of RBF finite difference formulas, among other things.
PB Elsevier
SN 0021-9991
YR 2016
FD 2016-02-15
LK https://hdl.handle.net/10016/37398
UL https://hdl.handle.net/10016/37398
LA eng
NO This work has been supported by Spanish MICINN Grants FIS2010-18473, FIS2013-41802-R, CSD2010-00011.
DS e-Archivo
RD 17 jul. 2024