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

License: MIT License

Python 100.00%
chebyshev-polynomials approximation python sympy dismat2

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chebyshev's Issues

DOI request

Hello, thanks for making this! I was wondering if it would be possible to create a DOI with the code on Zenodo to make it more easily citable. It would be much appreciated!

question

Hi,
do you have reference to the Chebyshev approximation you do?

maybe different approach is to get error for each degree and then do the cutoff

Approximation gives wrong results.

Hello,
i like your programm it works very good for a lot of cases. But it is not working at all with Abs from sympy. Any idea on how to fix this? Below is my simple test. The function that should be approximated is Abs(x). It has an analytical solution with the polynom -x since the domain is from -1 to 0. The approximation is sadly not correct as far as i can see.

#%%
import re
from sympy import exp, ln, sin, cos
from sympy.abc import x
from sympy import Max,Abs

from chebyshev.approximation import get_best_approximation

func = Abs(x)

table_of_contents = []

approximation = get_best_approximation(func, (-1,0), 7, 20)
approximation.plot_approximation(show=True)

# %%

regards,
Martin

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