December 2017
Intermediate to advanced
386 pages
10h 42m
English
Content preview from SciPy Recipes
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How to do it...
There are other possibilities is to use Gaussian quadrature formulas, they are:
- These are more powerful, since the accuracy of the approximations is gained through internally computing the best possible choice of nodes
- There are two basic routines in the scipy.integrate module that perform the implementation of this algorithm: quadrature, if we want to specify tolerance, or fixed_quad, if we wish to specify the number of nodes (but not their locations!):
In [38]: from scipy.integrate import quadrature, fixed_quadIn [39]: value, absolute_error = quadrature(f, -1, 1, tol=1.49e-8); \ ....: print (value)1.80904847478In [40]: value, absolute_error = fixed_quad(f, -1, 1, n=4); \ ....: print (value) # four nodes1.80861639538
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