quotient-difference algorithm
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21: 29.22 Software
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►In this section we provide links to the research literature describing the implementation of algorithms in software for the evaluation of functions described in this chapter.
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22: 34.15 Software
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►In this section we provide links to the research literature describing the implementation of algorithms in software for the evaluation of functions described in this chapter.
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23: Bernard Deconinck
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►He has worked on integrable systems, algorithms for computations with Riemann surfaces, Bose-Einstein condensates, and methods to investigate the stability of solutions of nonlinear wave equations.
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24: Peter Paule
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►Paule’s main research interests are computer algebra and algorithmic mathematics, together with connections to combinatorics, special functions, number theory, and other related fields.
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25: Bibliography Z
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Algorithm 916: computing the Faddeyeva and Voigt functions.
ACM Trans. Math. Software 38 (2), pp. Art. 15, 22.
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Remark on “Algorithm 916: computing the Faddeyeva and Voigt functions”: efficiency improvements and Fortran translation.
ACM Trans. Math. Softw. 42 (3), pp. 26:1–26:9.
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Algorithm 985: Simple, Efficient, and Relatively Accurate Approximation for the Evaluation of the Faddeyeva Function.
ACM Trans. Math. Softw. 44 (2), pp. 22:1–22:9.
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Doron Zeilberger’s Maple Packages and Programs
Department of Mathematics, Rutgers University, New Jersey.
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A fast Fourier-Bessel transform algorithm.
Zh. Vychisl. Mat. i Mat. Fiz. 35 (7), pp. 1128–1133 (Russian).
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26: Bibliography T
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An algorithm with ALGOL 60 program for the computation of the zeros of ordinary Bessel functions and those of their derivatives.
J. Comput. Phys. 32 (2), pp. 270–279.
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A set of algorithms for the incomplete gamma functions.
Probab. Engrg. Inform. Sci. 8, pp. 291–307.
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Numerical algorithms for uniform Airy-type asymptotic expansions.
Numer. Algorithms 15 (2), pp. 207–225.
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Algorithm 165: Complete elliptic integrals.
Comm. ACM 6 (4), pp. 163–164.
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Erratum to “COULCC: A continued-fraction algorithm for Coulomb functions of complex order with complex arguments”.
Comput. Phys. Comm. 159 (3), pp. 241–242.
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27: 8.25 Methods of Computation
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►DiDonato and Morris (1986) describes an algorithm for computing and for , , and from the uniform expansions in §8.12.
The algorithm supplies 14S accuracy.
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28: 15.20 Software
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►In this section we provide links to the research literature describing the implementation of algorithms in software for the evaluation of functions described in this chapter.
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29: 27.22 Software
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Wolfram’s Mathworld. Descriptions, references, and Mathematica algorithms for factorization and primality testing.
30: 28.36 Software
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►In this section we provide links to the research literature describing the implementation of algorithms in software for the evaluation of functions described in this chapter.
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