LasserreAvrachenkov: Internal functions for integrateSimplexPolynomial.

In SimplicialCubature: Integration of Functions Over Simplices

Description

LasserreAvrachenkov implements the exact integration formula for a homogeneous polynomial p of degree q. The other functions are helper functions for that.

Usage

LasserreAvrachenkov(q, p, useTerm, S)
nextIndexLA(current.n, b)
nextIntBaseB(current.n, b)

Arguments

q	degree of the polynomial p
p	polynomial obtained by calling definePoly
useTerm	vector of booleans, telling which terms are homogeneous of degree q
S	an n x (n+1) matrix specifying a single simplex; the columns S[,1],..,S[,n+1] give the vertices of the simplex.
current.n	vector of integers giving the base b representation of a (non-negative) integer
b	base used for the base b representation of an integer

Value

Not meant to be called externally.

References

See Lasserre and Avrachenkov, Baldoni, et al., and Konerth references in SimplicialCubature-package.

See Also

integrateSimplexPolynomial

SimplicialCubature documentation built on Jan. 8, 2021, 5:40 p.m.