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The Computer Journal 1961 3(4):272-277; doi:10.1093/comjnl/3.4.272
© 1961 by British Computer Society
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Convergence Properties of Gaussian Quadrature Formulae

W. Barrett

Department of Mathematics, The University, Leeds, UK

An expression is found for the remainder of any Gaussian quadrature formula as a contour integral, and is then used to obtain estimates of the error in certain cases. Numerical examples are given comparing the actual and estimated errors.

A method of constructing more general quadrature formulae is described, and two examples are given of formulae so constructed.


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