Refined Error Estimates for Radial Basis Function Interpolation Academic Article uri icon

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.

author list (cited authors)

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

citation count

  • 14

publication date

  • February 2003