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.

Abstract. It is well-known that the remaining term of any 𝑛-point interpolatory quadrature rule such as Gauss-Legendre quadrature formula depends on at least an 𝑛-order derivative of the integrand ...