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arXiv · 1203.4795

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

Mário M. Graça·M. Esmeralda Sousa-Dias
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Abstract

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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Mário M. Graça, M. Esmeralda Sousa-Dias. 2012-03-30. A unified framework for the computation of polynomial quadrature weights and errors. https://arxiv.org/abs/1203.4795

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