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etasFLP (version 2.2.2)

simpson.coeff: Computes Simpson integration rule coefficients

Description

Computes Simpson integration rule coefficients.

Usage

simpson.coeff(n)
simpson.kD(n,k=2)

Value

a vector of n coefficients (for simpson.coeff), a k-dimensions array with a total of \(n^k\) elements for simpson.kD.

Arguments

n

number of points of the simpson formula a single dimension

k

number of dimensions

Author

Marcello Chiodi

Details

simpson.coeff computes the coefficients of the standard Simpson rule (for unit spaced points), according to the sequence (1+4+2+4+...+2+4+1)/3 for each dimension. simpson.kD expand the formula over a grid of \(n^k\) points in k dimensions.