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
Abstract
Summary (translated from the Russian): ``We construct a new first-order interpolation method for the values of a function on a system of arbitrary points in a finite-dimensional Euclidean space ${\bf E}^n$ that differs from the well-known Sibson method. We prove a number of properties of this method, give the results of its application, and compare it with Sibson's interpolation and interpolation based on Delaunay triangulation. Unlike the triangulation method, this interpolation is single-valued, yet is simpler and more efficient in concrete realization than Sibson's interpolation.''