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Gaussian quadrature

The Gaussian quadrature formulas are of the formMATHThe coefficients wk are found by requiring that the approximation be exact for polynomials of degree less than 2n.

Gaussian quadrature is optimal in the sense that it is exact for all polynomials up to degree 2n.


A B C D E F G H I J K L M N O P Q R S T U V W X Y Z


Newton-Cotes formulas

Simpson's rule

Trapezoidal rule


Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.

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