Filon rule
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21—30 of 35 matching pages
21: 1.5 Calculus of Two or More Variables
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Chain Rule
…22: Bibliography B
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Numerical evaluation of the zero-order Hankel transform using Filon quadrature philosophy.
Appl. Math. Lett. 9 (5), pp. 21–26.
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23: 4.45 Methods of Computation
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►For the principal branch can be computed by solving the defining equation numerically, for example, by Newton’s rule (§3.8(ii)).
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24: 13.29 Methods of Computation
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►In Allasia and Besenghi (1991) and Allasia and Besenghi (1987a) the high accuracy of the trapezoidal rule for the computation of Kummer functions is described.
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25: 17.2 Calculus
26: Bibliography T
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The numerical computation of special functions by use of quadrature rules for saddle point integrals. II. Gamma functions, modified Bessel functions and parabolic cylinder functions.
Report TW 183/78
Mathematisch Centrum, Amsterdam, Afdeling Toegepaste
Wiskunde.
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27: 3.11 Approximation Techniques
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►The Padé approximants can be computed by Wynn’s cross rule.
Any five approximants arranged in the Padé table as
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28: 3.4 Differentiation
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►The integral on the right-hand side can be approximated by the composite trapezoidal rule (3.5.2).
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►As explained in §§3.5(i) and 3.5(ix) the composite trapezoidal rule can be very efficient for computing integrals with analytic periodic integrands.
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29: Bibliography W
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Fast construction of the Fejér and Clenshaw-Curtis quadrature rules.
BIT 46 (1), pp. 195–202.
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30: Software Index
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►Please see our Software Indexing Policy for rules that govern the indexing of software in the DLMF.
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