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21: 29.20 Methods of Computation

§29.20 Methods of Computation

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§29.20(i) Lamé Functions

… ►The numerical computations described in Jansen (1977) are based in part upon this method. … ►

§29.20(ii) Lamé Polynomials

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§29.20(iii) Zeros

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22: Ronald F. Boisvert

… … ► 1951 in Manchester, New Hampshire) leads the Applied and Computational Mathematics Division of the NIST Information Technology Laboratory. … ►in computer science from Purdue University in 1979 and has been at NIST since then. His research interests include numerical solution of partial differential equations, mathematical software, and information services that support computational science. … ►He is a Fellow of the American Association for the Advancement of Science, the Association for Computing Machinery, and the Washington Academy of Sciences.

23: Bibliography B

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Automatic computation of zeros of Bessel functions and other special functions. SIAM J. Sci. Comput. 21 (4), pp. 1458–1464.

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External Links:

ISSN 1064-8275, Document, MathReview (Andrea Laforgia), ZentralBlatt

Referenced by:

§10.74(vi), §3.8(iii).

Encodings:

BibTeX

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A program for computing the Fermi-Dirac functions. Comput. Phys. Comm. 21 (3), pp. 315–322.

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Notes:

Double-precision Fortran, maximum accuracy 10D.

External Links:

Document, Code

Referenced by:

2nd item.

Encodings:

BibTeX

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A program for computing the Riemann zeta function for complex argument. Comput. Phys. Comm. 20 (3), pp. 441–445.

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Notes:

Double-precision Fortran, maximum accuracy 10S.

External Links:

Document, Code, ZentralBlatt

Referenced by:

1st item.

Encodings:

BibTeX

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Algorithm 21: Bessel function for a set of integer orders. Comm. ACM 3 (11), pp. 600.

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Notes:

Includes Algol code, minimum accuracy 5S. For certification see same journal 8(1965), p. 219.

External Links:

ISSN 0001-0782, Document

Referenced by:

§10.77(ii).

Encodings:

BibTeX

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Computation of the polygamma functions. Comm. Statist. B—Simulation Comput. 13 (3), pp. 409–415.

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External Links:

ISSN 0361-0918, Document, MathReview (S. Conde)

Referenced by:

§5.24(iii).

Encodings:

BibTeX

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24: 32.17 Methods of Computation

§32.17 Methods of Computation

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25: Joyce E. Conlon

… … ►She occupied various positions providing support for high performance scientific computing. In 1999 she joined the NIST Mathematical and Computational Sciences Division, where she contributed to the DLMF project, especially in the construction of the bibliography. … ►From 1980–85 she worked as a computer programmer for the Defense Mapping Agency. …

26: 14.32 Methods of Computation

§14.32 Methods of Computation

►Essentially the same comments that are made in §15.19 concerning the computation of hypergeometric functions apply to the functions described in the present chapter. … ►

For the computation of conical functions see Gil et al. (2009, 2012), and Dunster (2014).

27: Peter Paule

… … ► 1958 in Ried im Innkreis, Austria) is Professor of Mathematics (successor to Bruno Buchberger), Director of the Research Institute for Symbolic Computation (RISC), and Director of the Doctoral Program on Computational Mathematics at the Johannes Kepler University, Linz, Austria. ►Paule’s main research interests are computer algebra and algorithmic mathematics, together with connections to combinatorics, special functions, number theory, and other related fields. He is on the editorial boards for the Journal of Symbolic Computation and The Ramanujan Journal, and is Managing Editor of Annals of Combinatorics. He is also Editor-in-Chief of the Springer book series Texts and Monographs in Symbolic Computation. …

28: 9.17 Methods of Computation

§9.17 Methods of Computation

… ►The former reference includes a parallelized version of the method. … ►

§9.17(v) Zeros

… ►See also Fabijonas et al. (2004). ►For the computation of the zeros of the Scorer functions and their derivatives see Gil et al. (2003c).

29: Bruce R. Miller

… … ► 1953 in Houston, Texas) is on the staff of the Applied and Computational Mathematics Division of the Information Technology Laboratory in the National Institute of Standards and Technology. … ►While developing the supporting theories, he discovered a passion for symbolic computation and computer algebra. …There, he carried out research in non-linear dynamics and celestial mechanics, developing a specialized computer algebra system for high-order Lie transformations. …

30: Bibliography X

… ►

Variable precision computation of elementary functions. J. Numer. Methods Comput. Appl. 15 (3), pp. 161–171 (Chinese).

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Notes:

English translation in Chinese J. Numer. Math. Appl. 17 (1995), no. 1, pp. 13–24

External Links:

ISSN 1000-3266, MathReview, ZentralBlatt

Referenced by:

§4.48(iii).

Encodings:

BibTeX