scipy tutorial - Baustatik-Info-Server

fixed_quad(func, a, b, args=(), n=5)
Compute a definite integral using fixed-order Gaussian quadrature.
Description:
Inputs:
Integrate func from a to b using Gaussian quadrature of order n.
func – a Python function or method to integrate
(must accept vector inputs)
SciPy Reference Guide, Release 0.8.dev
a – lower limit of integration b – upper limit of integration args – extra arguments to pass to function.
n – order of quadrature integration.
Outputs: (val, None)
See also:
val – Gaussian quadrature approximation to the integral.
quad - adaptive quadrature using QUADPACK dblquad, tplquad - double and triple integrals
romberg - adaptive Romberg quadrature quadrature - adaptive Gaussian quadrature romb, simps,
trapz - integrators for sampled data cumtrapz - cumulative integration for sampled data ode, odeint
- ODE integrators
quadrature(func, a, b, args=(), tol=1.4899999999999999e-08, maxiter=50, vec_func=True)
Compute a definite integral using fixed-tolerance Gaussian quadrature.
Description:
Inputs:
Integrate func from a to b using Gaussian quadrature with absolute tolerance tol.
func – a Python function or method to integrate. a – lower limit of integration. b – upper limit of
integration. args – extra arguments to pass to function. tol – iteration stops when error between last
two iterates is less than
tolerance.
maxiter – maximum number of iterations. vec_func – True or False if func handles arrays as
arguments (is
Outputs: (val, err)
See also:
a “vector” function ). Default is True.
val – Gaussian quadrature approximation (within tolerance) to integral. err – Difference between
last two estimates of the integral.
romberg - adaptive Romberg quadrature fixed_quad - fixed-order Gaussian quadrature quad - adaptive
quadrature using QUADPACK dblquad, tplquad - double and triple integrals romb, simps, trapz
- integrators for sampled data cumtrapz - cumulative integration for sampled data ode, odeint - ODE
integrators
romberg(function, a, b, args=(), tol=1.48e-08, show=False, divmax=10, vec_func=False)
Romberg integration of a callable function or method.
Returns the integral of function (a function of one variable) over the interval (a, b).
If show is 1, the triangular array of the intermediate results will be printed. If vec_func is True (default is False),
then function is assumed to support vector arguments.
3.4. Integration and ODEs (scipy.integrate) 181