The BasisMatrices.jl provides a basis matrix based on complete polynomial for monomials, splines, and Chebychev polynomials. Is there any comparable library for Python? This function approximation is extremely useful, among other things, for Euler-equation based methods.
I am aware the complete_poly library of interpolation.py by Spencer Lyon, Chase Coleman, and Pablo Winant, which gives used complete monomials for interpolation. The issue is that monomials are not orthogonal, and I am working in a current application which the degree of accuracy is not ideal. There is also support for splines, and perhaps that works reasonably well, but I do not see anything regarding Chebychev polynomials.