Cubature formulas for the surface of the sphere
Cubature formulas are given for computing the integral: \(I(f)=\int_{U_ s}f(x)d\sigma\), where \(d\sigma\) is an element of the surface \(U_ s\) of the s-dimensional sphere in Cartesian coordinates \(x=(x_ 1,x_ 2,...,x_ s)\). Their formulas are fully symmetric and satisfy optimum (minimum point) structures. The points and weights of the formulas are computed.
scientific article; zbMATH DE number 3997006
scientific article