archimedes.quadrature

Numerical quadrature methods for approximating integrals.

Functions

clenshaw_curtis(n[, a, b])	Clenshaw-Curtis quadrature rule with n nodes.
composite_quad(base, breakpoints)	Tile base across elements of its reference domain.
gauss_hermite(n[, kind, loc, scale])	Gauss-Hermite quadrature rule with n nodes.
gauss_jacobi(n, alpha, beta[, a, b])	Gauss-Jacobi quadrature rule with n nodes.
gauss_laguerre(n[, rate, start])	Gauss-Laguerre quadrature rule with n nodes.
gauss_legendre(n[, a, b])	Gauss-Legendre quadrature rule with n nodes.
gauss_lobatto(n[, a, b])	Gauss-Lobatto quadrature rule including both endpoints.
gauss_radau(n[, endpoint, a, b])	Gauss-Radau quadrature rule including exactly one endpoint.
golub_welsch(alpha, beta)	Gauss nodes/weights from monic recurrence coefficients.
golub_welsch_rule(measure, n[, name])	Gauss quadrature rule for any Measure via its recurrence coefficients.
quadint(func, a, b[, n, rule, axis, args])	Approximate the definite integral of func over [a, b].
simpson(n, a, b)	Composite Simpson's rule quadrature.
tensor_quad(*rules)	Build a TensorQuadratureRule from one rule per dimension.
trapezoidal(n[, periodic])	Equally-spaced trapezoidal quadrature rule.

Classes

Quadrature(*args, **kwargs)	The interface every quadrature rule provides, whatever its dimension.
QuadratureReferenceData(nodes, weights, measure)	Reference-domain payload of a QuadratureRule nodes/weights
QuadratureRule(reference, name[, params])	Fixed-node Gauss quadrature rule, optionally mapped onto a target domain.
TensorQuadratureRule(rules)	Cartesian product of one-dimensional quadrature rules.