NAMar 30, 2012
A unified framework for the computation of polynomial quadrature weights and errorsMário M. Graça, M. Esmeralda Sousa-Dias
For the class of polynomial quadrature rules we show that conveniently chosen bases allow to compute both the weights and the theoretical error expression of a $n$-point rule via the undetermined coefficients method. As an illustration, the framework is applied to some classical rules such as Newton-Cotes, Adams-Bashforth, Adams-Moulton and Gaussian rules.