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Quadrature Formulas |
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Quadrature Formulas
formulas for approximating definite integrals by means of the values of the integrand at a finite number of points. The most common quadrature formulas have the form
where x1x2, …, xn are the nodes of the quadrature formula, A1, A2 . . . ,An are its coefficients, and Rn is the remainder term. For example,
where a ≤ ξ ≤ b (trapezoidal rule). Sometimes for mulas for mechanical, or numerical, quadrature are also called quadrature formulas. REFERENCEKrylov, V. I. Priblizhennoe vychislenie integralov, 2nd ed. Moscow, 1967.Want to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit the webmaster's page for free fun content. |
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