Wolfram Resource System

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23 items

Function Resource:   ClenshawCurtisQuadratureWeights

Get a numerically sorted list of abscissa-weight pairs for Clenshaw-Curtis quadrature

Function Resource:   FejerQuadratureWeights

Get a numerically sorted list of abscissa-weight pairs for Fejér quadrature

Function Resource:   GaussianQuadratureWeights

Get a numerically sorted list of abscissa-weight pairs for Gaussian quadrature

Function Resource:   ChebyshevQuadratureAbscissas

Get a numerically sorted list of abscissas for Chebyshev equal-weight quadrature

Function Resource:   GaussianQuadratureMatrix

Symmetric tridiagonal matrix for Gaussian quadrature

Function Resource:   ModifiedGaussianQuadratureWeights

Get a numerically sorted list of abscissa-weight pairs for various modifications of Gaussian quadrature

Function Resource:   ButcherQuadratureConditions

Give the quadrature conditions for Runge-Kutta methods

Function Resource:   GeneralizedGaussianQuadratureWeights

Get a numerically sorted list of abscissa-weight pairs for generalized Gaussian quadrature

Function Resource:   GaussianQuadratureError

Find the error in the Gaussian quadrature approximation of a function’s integral

Function Resource:   QuadratureWeightsToJacobiMatrix

Recover a Jacobi matrix from a list of abscissa-weight pairs

Function Resource:   OrthogonalPolynomialSum

Evaluate a finite orthogonal polynomial series

Function Resource:   StieltjesJacobiE

Evaluate the Stieltjes-Jacobi polynomial

Function Resource:   NewtonCotesError

Find the error in the Newton–Cotes quadrature formula

Function Resource:   NewtonCotesWeights

Get the abscissa-weight pairs of the elementary Newton-Cotes formula

Function Resource:   ButcherTreeQ

Determine if a Butcher tree is in valid functional syntax

Function Resource:   ButcherTrees

Get a list of the trees for any Runge-Kutta method of a given order

Function Resource:   IntegralApproximationPlot

Compute and plot the approximation to the integral of a function on an interval

Function Resource:   ButcherPlot

Plot order condition trees for Runge-Kutta method

Function Resource:   SalzerPiessensInversionWeights

Get a list of abscissas and weights for the numerical inverse Laplace transform

Function Resource:   ButcherTreeSimplify

Get the butcher trees through a given order that are not reduced by Butcher’s quadrature or row- or column-simplifying conditions

Function Resource:   ButcherPrincipalError

Get a list of terms in the Taylor series expansion of the error for Runge–Kutta methods

Function Resource:   OrthogonalPolynomialDividedDifference

Evaluate the divided difference of a finite orthogonal polynomial series

Example Resource:   Create a Neural Network Layer from Commonly Used Distance Functions