A unified framework for the computation of polynomial quadrature weights and errors

Details A unified framework for the computation of polynomial quadrature weights and errors A unified framework for the computation of polynomial quadrature weights and errors

2012-03-21

arxiv.org/abs/1203.4795v2

Mathematics

Numerical Analysis

Minor misprints corrected

Scientific paper

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.

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