""" ============================================= Integration and ODEs (:mod:`scipy.integrate`) ============================================= .. currentmodule:: scipy.integrate Integrating functions, given function object ============================================ .. autosummary:: :toctree: generated/ 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. Integrating functions, given fixed samples ========================================== .. autosummary:: :toctree: generated/ 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. .. seealso:: :mod:`scipy.special` for orthogonal polynomials (special) for Gaussian quadrature roots and weights for other weighting factors and regions. Integrators of ODE systems ========================== .. autosummary:: :toctree: generated/ odeint -- General integration of ordinary differential equations. ode -- Integrate ODE using VODE and ZVODE routines. complex_ode -- Convert a complex-valued ODE to real-valued and integrate. """ from quadrature import * from odepack import * from quadpack import * from _ode import * __all__ = filter(lambda s:not s.startswith('_'),dir()) from numpy.testing import Tester test = Tester().test