Quadrature formulas which achieve high accuracy in composite rules

This paper is concerned with a class of quadrature formulas developed by Ralston [5]. These formulas are very useful when the numerical integration is performed by subdividing the interval of integration into a number of subintervals. In Chapter I a method of derivation is developed for these formulas. In Chapter II the method of applying these formulas in the form of a composite rule is explained. The procedure is then used to approximate selected integrals. The numerical results obtained are compared with other quadrature formulas.