On a class of Gauss-like quadrature rules
The Gauss rules considered in this paper are for problems where the integrand and integration interval is fixed for a number of different weight functions. Problems like this arise in computer graphics computations, where it is desirable to minimize the number of required integrand evaluations. The author shows how to construct maximal degree integration rules that share the same set of integrand evaluation points between all of the weight functions. Conditions are given to guarantee the existence of rules that have real and distinct points contained within the integration interval. There is also some discussion about the practical computation of the points and weights for the new rules, and an example is given to illustrate their use.
practical computation of the points and weights
scientific article; zbMATH DE number 569100