numerical evaluation
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1—10 of 33 matching pages
1: 3 Numerical Methods
Chapter 3 Numerical Methods
…2: 36.15 Methods of Computation
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►Direct numerical evaluation can be carried out along a contour that runs along the segment of the real -axis containing all real critical points of and is deformed outside this range so as to reach infinity along the asymptotic valleys of .
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►This can be carried out by direct numerical evaluation of canonical integrals along a finite segment of the real axis including all real critical points of , with contributions from the contour outside this range approximated by the first terms of an asymptotic series associated with the endpoints.
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3: 3.10 Continued Fractions
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§3.10(iii) Numerical Evaluation of Continued Fractions
►Forward Recurrence Algorithm
… ►Backward Recurrence Algorithm
… ►Forward Series Recurrence Algorithm
…4: Bibliography N
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Algorithm 707: CONHYP: A numerical evaluator of the confluent hypergeometric function for complex arguments of large magnitudes.
ACM Trans. Math. Software 18 (3), pp. 345–349.
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Numerical evaluation of the confluent hypergeometric function for complex arguments of large magnitudes.
J. Comput. Appl. Math. 39 (2), pp. 193–200.
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On the numerical evaluation of the generalised Fermi-Dirac integrals.
Comput. Phys. Comm. 76 (1), pp. 48–50.
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5: Bibliography T
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On the numerical evaluation of the modified Bessel function of the third kind.
J. Comput. Phys. 19 (3), pp. 324–337.
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On the numerical evaluation of the ordinary Bessel function of the second kind.
J. Computational Phys. 21 (3), pp. 343–350.
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Numerical evaluation of exponential integral: Theis well function approximation.
Journal of Hydrology 205 (1-2), pp. 38–51.
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6: 20.14 Methods of Computation
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►In practice a value with, say, , , is found quickly and is satisfactory for numerical evaluation.
7: Bibliography C
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Numerical evaluation of the Lambert function and application to generation of generalized Gaussian noise with exponent 1/2.
IEEE Trans. Signal Process. 50 (9), pp. 2160–2165.
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Numerical evaluation of the Fermi-Dirac integrals.
The Astrophysical Journal Supplement Series 71, pp. 677–699.
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A differential equation method for the numerical evaluation of the Airy, Pearcey and swallowtail canonical integrals and their derivatives.
Molecular Phys. 48 (6), pp. 1305–1330.
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A method for the numerical evaluation of the oscillatory integrals associated with the cuspoid catastrophes: Application to Pearcey’s integral and its derivatives.
J. Phys. A 15 (4), pp. 1179–1190.
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Numerical evaluation of Airy functions with complex arguments.
J. Comput. Phys. 99 (1), pp. 106–114.
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8: Bibliography L
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Application of theta functions for numerical evaluation of complete elliptic integrals of the first and second kinds.
Comput. Phys. Comm. 60 (3), pp. 319–327.
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Numerical evaluation of integrals containing a spherical Bessel function by product integration.
J. Math. Phys. 22 (7), pp. 1399–1413.
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Numerical Evaluation of Special Functions.
In Mathematics of Computation 1943–1993: A Half-Century of
Computational Mathematics (Vancouver, BC, 1993),
Proc. Sympos. Appl. Math., Vol. 48, pp. 79–125.
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9: Bibliography S
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Orthogonal polynomials arising in the numerical evaluation of inverse Laplace transforms.
Math. Tables Aids Comput. 9 (52), pp. 164–177.
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Numerical evaluation of integrals of the form and the tabulation of the function
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Quart. J. Mech. Appl. Math. 3 (1), pp. 107–112.
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Numerical evaluation of the Hankel transform.
Comput. Phys. Comm. 116 (2-3), pp. 278–294.
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Evaluation of associated Legendre functions off the cut and parabolic cylinder functions.
Electron. Trans. Numer. Anal. 9, pp. 137–146.
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Numerical evaluation of spherical Bessel transforms via fast Fourier transforms.
J. Comput. Phys. 100 (2), pp. 294–296.
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