When life gives you intractable value functions, use Chebyshev Interpolation
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Updated
Jul 20, 2020 - R
When life gives you intractable value functions, use Chebyshev Interpolation
Jacobi, Gegenbauer, Chebyshev of first, second, third, fourth kind, Legendre, Laguerre, Hermite, shifted Chebyshev and Legendre polynomials
We, a team of students, recently completed a series of projects as part of our numerical analysis course. These projects involved the application of various numerical methods to solve mathematical problems and analyze the results. Through these projects, we gained a deeper understanding of the concepts covered in the course and honed our skills in
A C++ implementation of SK-tau-ROCK methods
Various Numerical Analysis algorithms for science and engineering.
Chebyshev-proxy Rootfinding based on J. Boyd (2013 and 2014). This repository is intended for educational use and isn't really a standalone package; however, the implementation may be enlightening for someone wishing to reimplement the CPR algorithm.
Orthogonal polynomials for optics analysis
This repo specifically contains all the numerical experiments conducted during my MS-Thesis Project sharing the same title. Major languages used in the span of this project are Python, Matlab and Mathematica. The code files are well-commented and are the codes self-explanatory.
A trial numpy chebyshev polynomials expansion to a fragment of music signal. A trial ARMA Spectral density power estimation.
C++ template project provides a flexible way to work with polynomials and calculate their real roots.
Digital signal processing library including: polynomial fitting, filtering, etc. Where possible API facilitates real-time applications
Third project for DisCont Mathematics 2 @ FER
The Weierstrass method for finding all roots of the Chebyshev polynomial of the first order.
Raku package for functionalities based on Chebyshev polynomials.
Supplemental materials to a scientific paper on the computation of Quasinormal Modes in a non-commutative model for Schwarzschild black holes
Implementation of polynomial interpolation using the Barycentric Lagrange formula with Chebyshev points. The program computes polynomial interpolants for three different functions on specified intervals, and determines the polynomial degree necessary to ensure that the error does not exceed 1e-6
Chebyshev Polynomial Software for Elliptic-Parabolic Systems of PDEs
SEMIEMP:Open source code for semiempirical qunatum chemistry calculations
Chebyshev interpolation of an infinitely differentiable function on the given discrete computational grid
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