Work

Some Notes on Neville's Algorithm of Interpolation with Applications to Trigonometric Interpolation

Year: 2018

Type: article

Abstract: In this paper is given a description of Neville's algorithm which is generated from Lagrange interpolation polynomials. Given a summary of the properties of these polynomials with some applications. Then, using the Lagrange polynomials of lower degrees, Neville algorithm allows recursive computation of those of the larger degrees, including the adaption of Neville's method to trigonometric interpolation. Furthermore, using a software application, such as in our case, Matlab, we will show the numerical experiments comparisons between the Lagrange interpolation and Neville`s interpolation methods and conclude for their advantages or disadvantages.

Source: HAL

Authors: Rexhepi, Shpëtim, Iseni, Egzona, Shaini, Bilall, I, Zenku, Tetuta

Institution: Mother Teresa University

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W3011745541

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Related to: 10