Minimal cubature formulae of degree 3 for integrals over the surface of the torus
The authors provide some new rules for numerical integration over the surface of a torus. This is a problem that has had only very limited attention. The new degree three rules are shown to require the minimal number of integrand values (six). Explicit formulas are provided for the integration weights and integration points. The formulas hold for all radii.
numerical integration over the surface of a torus
scientific article; zbMATH DE number 935214