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etasFLP (version 1.2.0)

simpson.coeff: Computes Simpson integration rule coefficients

Description

Computes Simpson integration rule coefficients.

Usage

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

Arguments

n
number of points of the simpson formula a single dimension
k
number of dimensions

Value

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

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.