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…

The PyTorch version of ChebyNet.

A simple python module for approximating any sympy expression using the Taylor series and Chebyshev polynomials.

A collection of Python programs that helps in Numerical Analysis.

A Python module to compute multidimensional arrays of evaluated (orthogonal) functions.

Scripts for the study of n-th order Type 1 Chebyshev filters

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.

Noise- and Outlier-Robust Fourier Transform with Hermite Functions with NumPy and Numba

Experimental Python code developed for research on: H. Waclawek and S. Huber, “Machine Learning Optimized Orthogonal Basis Piecewise Polynomial Approximation,” in Learning and Intelligent Optimization, Cham: Springer Nature Switzerland, 2025, pp. 427–441.

Various Numerical Analysis algorithms for science and engineering.

A serial, parallel and vectorised version of PLDM dynamics has been implemented. The serial version uses numba to get speedup of a compiled language. The parallel version uses mpi4py to utilise the multiprocessing capability of HPC clusters. The vectorised version uses a wide variety of GPU libraries (cuda, cupy, pytorch) to highly vectorise PLDM.

A trial numpy chebyshev polynomials expansion to a fragment of music signal. A trial ARMA Spectral density power estimation.

Finds first root in the given range using newton, simple iterations or scanning methods

CFNO is a variant of Fourier Neural Operators that uses a Chebychev expansion in the vertical direction.

A robust global root finder for real-valued functions of a single real variable.

🔢 Laboratory #6 for Number Methods. Chebyshev polynomial interpolation.