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11: Bibliography Y

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The calculation of the Riemann zeta function in the complex domain. USSR Comput. Math. and Math. Phys. 25 (2), pp. 111–119.

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External Links:

Document, ZentralBlatt

Referenced by:

§25.18(i).

Encodings:

BibTeX

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12: Bibliography S

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Calculator function approximation. Amer. Math. Monthly 90 (5), pp. 317–325.

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External Links:

ISSN 0002-9890, FullText, MathReview (J. Albrycht), ZentralBlatt

Referenced by:

§4.45(i).

Encodings:

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Use of analyticity in the calculation of nonrelativistic scattering amplitudes. Phys. Rev. 167, pp. 1411–1423.

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External Links:

Document, Link

Referenced by:

(18.40.9), §18.40(ii).

Encodings:

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Variational calculations of scattering. Ann. Phys. 16, pp. 36–50.

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Referenced by:

§18.39(iv).

Encodings:

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Calculation of the gamma function by Stirling’s formula. Math. Comp. 25 (114), pp. 317–322.

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External Links:

FullText, MathReview, ZentralBlatt

Referenced by:

§5.11(i), §5.11(ii).

Encodings:

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On the calculation of the inverse of the error function. Math. Comp. 22 (101), pp. 144–158.

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External Links:

FullText, MathReview, ZentralBlatt

Referenced by:

§7.17(ii).

Encodings:

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13: 8.25 Methods of Computation

… ►A numerical inversion procedure is also given for calculating the value of $x$ (with 10S accuracy), when $a$ and $P(a,x)$ are specified, based on Newton’s rule (§3.8(ii)). …

14: 27.16 Cryptography

… ►If $p$ and $q$ are known, $s$ and $y^s$ can be determined (mod $n$) by straightforward calculations that require only a few minutes of machine time. …

15: 29.20 Methods of Computation

… ►The eigenvalues $a_{\nu }^m\left(k^2\right)$, $b_{\nu }^m\left(k^2\right)$, and the Lamé functions ${\mathrm{𝐸𝑐}}_{\nu }^m(z,k^2)$, ${\mathrm{𝐸𝑠}}_{\nu }^m(z,k^2)$, can be calculated by direct numerical methods applied to the differential equation (29.2.1); see §3.7. …

16: Bibliography R

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A code to calculate (high order) Bessel functions based on the continued fractions method. Comput. Phys. Comm. 76 (3), pp. 381–388.

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Notes:

Double-precision Fortran, maximum accuracy 18D.

External Links:

ISSN 0010-4655, Document, Code, MathReview, ZentralBlatt

Referenced by:

6th item.

Encodings:

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Elliptic Integrals of the First and Second Kind – Comparison of Bulirsch’s and Carlson’s Algorithms for Numerical Calculation. In Special Functions (Hong Kong, 1999), C. Dunkl, M. Ismail, and R. Wong (Eds.), pp. 293–308.

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External Links:

MathReview, ZentralBlatt

Referenced by:

§19.36(i), §19.36(ii).

Encodings:

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Diffraction of plane radio waves by a parabolic cylinder. Calculation of shadows behind hills. Bell System Tech. J. 33, pp. 417–504.

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External Links:

MathReview (J. Shmoys)

Referenced by:

§12.17.

Encodings:

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Calculation of $3n$-$j$ symbols by Labarthe’s method. International Journal of Quantum Chemistry 63 (1), pp. 57–64.

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External Links:

Document

Referenced by:

§34.13.

Encodings:

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17: Bibliography B

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NJGRAF: An efficient program for calculation of general recoupling coefficients by graphical analysis, compatible with NJSYM. Comput. Phys. Comm. 50 (3), pp. 375–393.

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External Links:

Document, Code

Referenced by:

1st item.

Encodings:

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Numerical calculation of a generalized complete elliptic integral. Rev. Mod. Phys. 10, pp. 264–269.

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External Links:

Document, ZentralBlatt

Referenced by:

§19.2(iii).

Encodings:

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One- and two-electron photoejection from ${\mathrm{H}}^{-}$: A multichannel $J$-matrix calculation. Phys. Rev. A 14, pp. 2159–2173.

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External Links:

Document, Link

Referenced by:

§18.39(iv).

Encodings:

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Numerical calculation of elliptic integrals and elliptic functions. Numer. Math. 7 (1), pp. 78–90.

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Notes:

Algol 60 programs are included for real and complex elliptic integrals, and for Jacobian elliptic functions of real argument.

External Links:

ISSN 0029-599X, Document, MathReview (M. Feliciano), ZentralBlatt

Referenced by:

§19.1, §19.2(iii), §19.36(ii), §19.39(iii), §22.22(ii).

Encodings:

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A program to calculate a general recoupling coefficient. Comput. Phys. Comm. 1 (4), pp. 241–250.

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Notes:

Single-precision Fortran

External Links:

Document, Code

Referenced by:

3rd item.

Encodings:

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18: Bibliography J

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On the numerical calculation of polylogarithms. Nordisk Tidskr. Informationsbehandling (BIT) 12 (4), pp. 581–585.

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External Links:

Document, MathReview, ZentralBlatt

Referenced by:

§25.18(i).

Encodings:

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Numerical calculation of Bessel, Hankel and Airy functions. Computer Physics Communications 183 (3), pp. 506–519.

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External Links:

Document, FullText, ZentralBlatt

Referenced by:

§10.19(iii), §10.19(iii).

Encodings:

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REMES2 — a Fortran program to calculate rational minimax approximations to a given function. Technical Report Technical Report AECL-4210, Atomic Energy of Canada Limited. Chalk River Nuclear Laboratories, Chalk River, Ontario.

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Referenced by:

§3.11(iii).

Encodings:

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19: Bibliography F

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A computer program for the calculation of angular-momentum coupling coefficients. Comput. Phys. Comm. 70 (1), pp. 147–153.

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Notes:

Fortran for exact calculation using integers

External Links:

ISSN 0010-4655, Document, Code, MathReview Entry

Referenced by:

§34.13, §34.13, 5th item.

Encodings:

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Multivariate Calculation. Use of the Continuous Groups. Springer Series in Statistics, Springer-Verlag, New York.

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External Links:

ISBN 0-387-96049-X, MathReview (Yasuko Chikuse), ZentralBlatt

Referenced by:

§35.9.

Encodings:

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Calculation of elliptic integrals of the third kind by means of Gauss’ transformation. Math. Comp. 19 (89), pp. 97–104.

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External Links:

FullText, MathReview (J. E. L. Peck), ZentralBlatt

Referenced by:

§19.36(ii).

Encodings:

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Numerical calculation of singular integrals related to Hankel transform. Comput. Math. Appl. 21 (2-3), pp. 87–94.

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Notes:

Fortran, minimum precision 6D.

External Links:

ISSN 0898-1221, Document, MathReview, ZentralBlatt

Referenced by:

§10.77(ix).

Encodings:

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20: Bibliography I

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Centre for Experimental and Constructive Mathematics, Simon Fraser University, Canada.

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Notes:

From a decimal approximation, find the most likely exact value.

External Links:

Inverse Symbolic Calculator

Referenced by:

3rd item.

Encodings:

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