Python Program to Integrate a Chebyshev Series and Set the Integration Constant

Python Program to Integrate a Chebyshev Series and Set the Integration Constant

To integrate a Chebyshev series and set an integration constant, we can use the chebint function provided by the numpy.polynomial.chebyshev module. The chebint function integrates a Chebyshev series.

After the integration, you can manually set the integration constant by modifying the zeroth coefficient of the resulting Chebyshev series.

Here's how you can achieve this:

import numpy as np def integrate_chebyshev_with_constant(c, k=0): """ Integrate a Chebyshev series and set an integration constant. Parameters: - c: 1-D array_like Chebyshev series coefficients, ordered from low to high degree. - k: scalar, optional Integration constant. Default is 0. Returns: - 1-D array Chebyshev series coefficients of the integrated polynomial. """ # Integrate the Chebyshev series integrated = np.polynomial.chebyshev.chebint(c) # Set the integration constant integrated[0] += k return integrated # Example c = [1, 2, 3] # Chebyshev series representing 1 + 2*T_1(x) + 3*T_2(x) constant = 5 result = integrate_chebyshev_with_constant(c, constant) print("Integrated Chebyshev Series with Constant:", result)

In the example above, the Chebyshev series c is integrated and the integration constant is set to 5. Adjust the coefficients in c and the value of constant as needed.

More Tags

initialization area last-modified m lightgbm azure-ad-b2c signals-slots javax closest-points openpyxl

More Programming Guides

Other Guides

More Programming Examples