학술논문
Non-Sibson interpolation: a new method for the interpolation of the values of a function on an arbitrary system of points.
Document Type
Journal Translation
Author
Belikov, V. V. AMS Author Profile; Ivanov, V. D. AMS Author Profile; Kontorovich, V. K. AMS Author Profile; Korytnik, S. A. AMS Author Profile; Semënov, A. Yu. AMS Author Profile
Source
Subject
65 Numerical analysis -- 65D Numerical approximation and computational geometry
65D05Interpolation
65D05
Language
Russian
ISSN
0044-4669 (print)
Abstract
Summary (translated from the Russian): ``We construct anew first-order interpolation method for the valuesof a function on a system of arbitrary points in afinite-dimensional Euclidean space ${\bf E}^n$ that differsfrom the well-known Sibson method. We prove a number ofproperties of this method, give the results of itsapplication, and compare it with Sibson's interpolationand interpolation based on Delaunay triangulation. Unlikethe triangulation method, this interpolation issingle-valued, yet is simpler and more efficient inconcrete realization than Sibson's interpolation.''