Gauss-Chebyshev quadrature.
Computes the sample points and weights for Gauss-Chebyshev quadrature.
These sample points and weights will correctly integrate polynomials of
degree
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or less over the interval
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with
the weight function
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.
Parameters: | deg : int
Number of sample points and weights. It must be >= 1.
|
Returns: | x : ndarray
1-D ndarray containing the sample points.
y : ndarray
1-D ndarray containing the weights.
|
Notes
The results have only been tested up to degree 100, higher degrees may
be problematic. For Gauss-Chebyshev there are closed form solutions for
the sample points and weights. If n = deg, then
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System Message: WARNING/2 (w_i = \pi / n
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