RCAIDE.Library.Methods.Utilities.Chebyshev.linear_data

linear_data

linear_data(N=16, integration=True, **options)

Calculates the differentiation and integration matricies using chebyshev’s pseudospectral algorithm, based on linearly 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 of how these operators are used is available in the chebyshev_data.py (same folder)

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