Year: 2003
Type: article
Abstract: We consider (n + 1) distinct numbers x 0 , x 1 , ..., xn and the values of the function f at these (n + 1) given points.We study the problem of estimating f (x) at a point x = x * , within a given accuracy ε, using polynomial interpolation.Based on an analysis of the linear interpolation and the error of interpolation, we present an algorithm which better exploits the results of the calculus, contributing to a decrease in the amount of work involved, respectively the computational cost necessary to approximate f (x * ) with a given error.The material also presents numerical examples solved using this algorithm.
Author: Romulus Militaru
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W1563173816