Integral Approximation System

An Integral Approximation System is an approximation system that implements an integral approximation algorithm to solve an integral approximation task.

• See: ....

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References

2016

• http://docs.scipy.org/doc/scipy/reference/tutorial/integrate.html
  • QUOTE: The scipy.integrate sub-package provides several integration techniques including an ordinary differential equation integrator.

>>> help(integrate)
Methods for Integrating Functions given function object.
  quad          -- General purpose integration.
  dblquad       -- General purpose double integration.
  tplquad       -- General purpose triple integration.
  fixed_quad    -- Integrate func(x) using Gaussian quadrature of order n.
  quadrature    -- Integrate with given tolerance using Gaussian quadrature.
  romberg       -- Integrate func using Romberg integration. 

Methods for Integrating Functions given fixed samples.
  trapz         -- Use trapezoidal rule to compute integral from samples.
  cumtrapz      -- Use trapezoidal rule to cumulatively compute integral.
  simps         -- Use Simpson's rule to compute integral from samples.
  romb          -- Use Romberg Integration to compute integral from
                   (2**k + 1) evenly-spaced samples.

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