Quadrature rules are mathematical techniques used to approximate the definite integral of a function. They are essential in numerical analysis and scientific computing, particularly when dealing with ...

An algorithm is given which further simplifies the computation of certain moments defined on multinomial distributions. The algorithm is based on an application of Gaussian quadrature to summation.

In practice the Galerkin method for solving elliptic partial differential equations yields equations involving certain integrals which cannot be evaluated analytically. Instead these integrals are ...