Quadrature Rules Library Functions
QuadratureRules.QuadratureRule — Method
Integrate a function f(x) over the interval [0,1] using the quadrature.
QuadratureRules.ClenshawCurtisQuadrature — Method
Clenshaw-Curtis quadrature.
QuadratureRules.GaussChebyshevQuadrature — Method
Gauss-Chebyshev quadrature.
QuadratureRules.GaussLegendreQuadrature — Method
Gauss-Legendre quadrature.
QuadratureRules.LobattoChebyshevQuadrature — Method
Lobatto-Chebyshev quadrature.
QuadratureRules.LobattoLegendreQuadrature — Method
Lobatto-Legendre quadrature.
QuadratureRules.MidpointQuadrature — Function
Midpoint quadrature.
QuadratureRules.RiemannQuadratureLeft — Function
Riemannian quadrature on the left.
QuadratureRules.RiemannQuadratureRight — Function
Riemannian quadrature on the right.
QuadratureRules.TrapezoidalQuadrature — Function
Trapezoidal quadrature.
QuadratureRules._legendre — Method
Legendre polynomial P_s(x) of degree s defined on the interval [-1..+1].
QuadratureRules._shifted_legendre — Function
Legendre polynomial of degree s shifted to the interval [0..1], i.e., P_s(2x-1).
QuadratureRules.scale_weights — Method
Scale weights from the interval [-1,+1] to the interval [0,1].
QuadratureRules.shift! — Method
Scale nodes and weights from the interval [-1,+1] to the interval [0,1].
QuadratureRules.shift_nodes — Method
Shift and scale nodes from the interval [-1,+1] to the interval [0,1].
QuadratureRules.unshift! — Method
Scale nodes and weights from the interval [0,1] to the interval [-1,+1].