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chebyshev-polynomials

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High order and sparse layers in pytorch. Lagrange Polynomial, Piecewise Lagrange Polynomial, Piecewise Discontinuous Lagrange Polynomial (Chebyshev nodes) and Fourier Series layers of arbitrary order. Piecewise implementations could be thought of as a 1d grid (for each neuron) where each grid element is Lagrange polynomial. Both full connected a…

  • Updated Jun 24, 2024
  • Python

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.

  • Updated Apr 6, 2024
  • Jupyter Notebook

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

  • Updated Aug 17, 2023
  • Julia

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