Introduction Numerical analysis is a branch of mathematics that deals with the study of algorithms for approximating solutions to mathematical problems. This project focuses on three specific methods: ...

This project demonstrates interpolation techniques including polynomial interpolation with the Vandermonde matrix, Lagrange interpolation, and linear interpolation using scipy.interpolate.

SIAM Journal on Numerical Analysis, Vol. 17, No. 2 (Apr., 1980), pp. 238-246 (9 pages) Necessary and sufficient conditions are derived for a cubic to be monotone on an interval. These conditions are ...

The elementary function approximation using piecewise quadratic polynomial interpolation requires larger area of the look-up table (LUT) and circuit. To solve the problem, this paper presents an ...

Algorithms based on Newton's interpolation formula are given for: simple polynomial interpolation, polynomial interpolation with derivatives supplied at some of the data points, interpolation with ...

Piecewise polynomial interpolation and spline interpolation. Trigonometric interpolation, Fourier series, DFT and FFT. Approximation of Functions The Weierstrass Theorem and Taylor's Theorem The ...

Based on the practical and importance of the Chebyshev interpolation polynomial algorithm, in order to structure Chebyshev interpolation polynomial of high precision possible, having some research on ...