Exact integration for products of power of barycentric coordinates over $d$-simplexes in $R^n$

Francois Cuvelier (1)

1 LAGA - Laboratoire Analyse, Géométrie et Applications

Exact integral computation over a d-simplex in R n for products of powers of its barycentric coordinates is done in [9] by using mathematical induction and coordinate mappings. In this note we give a new proof using Laplace transformations without mathematical induction.

Domaines: Analyse numérique [math.NA]

Francois Cuvelier. Exact integration for products of power of barycentric coordinates over $d$-simplexes in $R^n$. 2018. ⟨hal-01816347⟩