Quadrature Rules Library Functions
QuadratureRules.QuadratureRule — MethodIntegrate a function f(x) over the interval [0,1] using the quadrature.
QuadratureRules.ClenshawCurtisQuadrature — MethodClenshaw-Curtis quadrature.
QuadratureRules.GaussChebyshevQuadrature — MethodGauss-Chebyshev quadrature.
QuadratureRules.GaussLegendreQuadrature — MethodGauss-Legendre quadrature.
QuadratureRules.LobattoChebyshevQuadrature — MethodLobatto-Chebyshev quadrature.
QuadratureRules.LobattoLegendreQuadrature — MethodLobatto-Legendre quadrature.
QuadratureRules.MidpointQuadrature — FunctionMidpoint quadrature.
QuadratureRules.RiemannQuadratureLeft — FunctionRiemannian quadrature on the left.
QuadratureRules.RiemannQuadratureRight — FunctionRiemannian quadrature on the right.
QuadratureRules.TrapezoidalQuadrature — FunctionTrapezoidal quadrature.
QuadratureRules._legendre — MethodLegendre polynomial P_s(x) of degree s defined on the interval [-1..+1].
QuadratureRules._shifted_legendre — FunctionLegendre polynomial of degree s shifted to the interval [0..1], i.e., P_s(2x-1).
QuadratureRules.scale_weights — MethodScale weights from the interval [-1,+1] to the interval [0,1].
QuadratureRules.shift! — MethodScale nodes and weights from the interval [-1,+1] to the interval [0,1].
QuadratureRules.shift_nodes — MethodShift and scale nodes from the interval [-1,+1] to the interval [0,1].
QuadratureRules.unshift! — MethodScale nodes and weights from the interval [0,1] to the interval [-1,+1].