In 1964, the Russian mathematician A.S. Kronrod, in an attempt to estimate practically the error term of the well-known Gauss quadrature formula, presented a new quadrature rule, which since then bears his name. It so happened that the new rule was related to work that Stieltjes did some 70 years earlier. We give an overview of the Gauss-Kronrod quadrature formulae, which are interesting from both the mathematical and the applicable point of view.


The talk will be expository without requiring any previous knowledge of numerical integration.