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Peer-reviewedCC BY-NC 4.0MathLAB Journal

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

  • Shpëtim Rexhepi
  • Egzona Iseni
  • Bilall I Shaini
  • Tetuta Zenku
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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.

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Cite

BibTeXRIS
BibTeX
@article{rexhepi2026some,
  title = {{Some Notes on Neville's Algorithm of Interpolation with Applications to Trigonometric Interpolation}},
  author = {Shpëtim Rexhepi and Egzona Iseni and Bilall I Shaini and Tetuta Zenku},
  journal = {MathLAB Journal},
  year = {2026},
  month = sep,
  url = {https://hal.science/hal-05741628v1},
  note = {CC BY-NC 4.0},
}
RIS
TY  - JOUR
TI  - Some Notes on Neville's Algorithm of Interpolation with Applications to Trigonometric Interpolation
AU  - Shpëtim Rexhepi
AU  - Egzona Iseni
AU  - Bilall I Shaini
AU  - Tetuta Zenku
PY  - 2026
DA  - 2026/09/08
JO  - MathLAB Journal
UR  - https://hal.science/hal-05741628v1
AB  - 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.
SN  - 2582-0389
ER  -