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NUMERICAL DIFFERENTIAL EQUATION ANALYSIS PACKAGE SYMBOL

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NewtonCotesWeights

gives a list of the n pairs

of the elementary n-point Newton-Cotes formula for quadrature on the interval a to b, where

is the weight of the abscissa

.

MORE INFORMATION

To use , you first need to load the Numerical Differential Equation Analysis Package using .

Newton-Cotes quadrature approximates the value of an integral as a linear combination of values of the integrand evaluated at equally spaced points: .

The abscissas may or may not include the endpoints a and b of the interval. The option QuadratureType is used to control whether endpoints are included as abscissas.

With the default setting QuadratureType, the endpoints are included as abscissas.

With the setting QuadratureType, the endpoints are not included as abscissas. In this case, the initial abscissa is chosen to be a half step above the lower endpoint.

NewtonCotesError GaussianQuadratureError GaussianQuadratureWeights

Numerical Differential Equation Analysis Package

Numerical Differential Equation Analysis Package

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