A note on moller's method

Abstract

We show that more than N _min (= 17) points are needed when s = 5 to construct a cubature formula of degree 2s − 1( = 9). We demonstrate this fact by attempting to construct a ninth degree formula for the weight function x ^1/2 where the region of integration is the space

Ω = [(x y): 0 ≤ x ≤ and −1 ≤ y ≤ 1]

Keywords:

• Moller's method
• Radon's method

C.R. Categories:

• 5.16