English

sk-Spline interpolation on R^n

Numerical Analysis 2018-09-25 v1

Abstract

The main aim of this article is to introduce sk-splines on R^n and establish representations of cardinal sk-splines with knots and points of interpolation on the sets AZ^n, where A is an arbitrary nonsingular matrix. Such sets of points are analogs for R^n of number theoretic Korobov's grids on the torus and proved to be useful for problems of very high dimensionality.

Keywords

Cite

@article{arxiv.1809.08618,
  title  = {sk-Spline interpolation on R^n},
  author = {F. Jarad and A. Kushpel and J. Levesley and K. Tas},
  journal= {arXiv preprint arXiv:1809.08618},
  year   = {2018}
}
R2 v1 2026-06-23T04:15:25.176Z