Refined error estimates for radial basis function interpolation

abstract

• We discuss new and refined error estimates for radial-function scattered data interpolants and their derivatives. These estimates hold on Rd, the d-torus, and the 2-sphere. We employ a new technique, involving norming sets, that enables us to obtain error estimates, which in many cases give bounds orders of magnitude smaller than those previously known.

authors

• Narcowich, Francis
• Ward, Joseph

published proceedings

• CONSTRUCTIVE APPROXIMATION

author list (cited authors)

• Narcowich, F. J., Ward, J. D., & Wendland, H.

citation count

• 20

complete list of authors

• Narcowich, FJ||Ward, JD||Wendland, H

publication date

• August 2003

publisher

• Springer Nature  Publisher

published in

• Constructive Approximation  Journal

keywords

• Error Estimates
• Norming Sets
• Radial Basis Functions
• Scattered Data

Digital Object Identifier (DOI)

• 10.1007/s00365-002-0529-7

start page

• 541

end page

• 564

volume

• 19

issue

• 4

URL

• http%3A%2F%2Fdx.doi.org%2F10.1007%2Fs00365-002-0529-7