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Solving Problems in Scientific Computing Using Maple and Matlab ® pp 221–249Cite as

Gauss Quadrature

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Abstract

In this chapter, we study how to compute Gauss quadrature rules with the help of MAPLE. We consider the integral

$$ \int\limits_a^b {f(x)\omega (x)dx,} $$
(18.1)

where w(x) denotes a nonnegative weight function. We assume that the integrals

$$ \int\limits_a^b {f|x{|^k}\omega (x)dx,} $$
(18.2)

exist for all k ≥ 0. Additionally, we assume that w(x) has only a finite number of zeroes in the interval [a, b] (cf. [20, p. 18].

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Authors
  1. U. von Matt
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© 1993 Springer-Verlag Berlin Heidelberg

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von Matt, U. (1993). Gauss Quadrature. In: Solving Problems in Scientific Computing Using Maple and Matlab ® . Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-97533-2_18

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  • DOI: https://doi.org/10.1007/978-3-642-97533-2_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57329-6

  • Online ISBN: 978-3-642-97533-2

  • eBook Packages: Springer Book Archive

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