RCAIDE.Library.Methods.Utilities.Chebyshev.chebyshev_data
chebyshev_data#
- chebyshev_data(N=16, integration=True, **options)[source]#
Calculates the differentiation and integration matricies using chebyshev’s pseudospectral algorithm, based on cosine spaced samples in x.
D and I are not symmetric get derivatives with df_dy = np.dot(D,f) get integral with int_f = np.dot(I,f)
where f is either a 1-d vector or 2-d column array
A full example is available in the function code.
Assumptions: None
Source: N/A
Inputs: N [-] Number of points integration (optional) <boolean> Determines if the integration operator is calculated
Outputs: x [-] N-number of cosine spaced control points, in range [0,1] D [-] Differentiation operation matrix I [-] Integration operation matrix, or None if integration = False
Properties Used: N/A