Steed algorithm

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1: 3.10 Continued Fractions

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Steed’s Algorithm

… ►Alternatives to Steed’s algorithm are the Lentz algorithm Lentz (1976) and the modified Lentz algorithm Thompson and Barnett (1986). …

2: Bibliography T

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Coulomb and Bessel functions of complex arguments and order. J. Comput. Phys. 64 (2), pp. 490–509.

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External Links:

ISSN 0021-9991, Document, MathReview (R. C. Varma), ZentralBlatt

Referenced by:

§10.74(v), §13.32(iii), §3.10(iii), §3.10(iii), §33.13, §33.23(vi), §33.26(iii), Ch.33, Erratum (V1.0.24) for Paragraph Steed’s Algorithm (in §3.10(iii)).

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3: Bibliography L

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Generating Bessel functions in Mie scattering calculations using continued fractions. Applied Optics 15 (3), pp. 668–671.

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Referenced by:

§3.10(iii), §3.10(iii), Erratum (V1.0.24) for Paragraph Steed’s Algorithm (in §3.10(iii)).

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BibTeX

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4: Errata

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A sentence was added to inform the reader of alternatives to Steed’s algorithm, namely the Lentz algorithm (see e.g., Lentz (1976)) and the modified Lentz algorithm (see e.g., Thompson and Barnett (1986)).

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5: Bibliography B

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Algorithm 719: Multiprecision translation and execution of Fortran programs. ACM Trans. Math. Software 19 (3), pp. 288–319.

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External Links:

ISSN 0098-3500, Document, GAMS (module 719; package TOMS), C++ wrapper, ZentralBlatt

Referenced by:

3rd item, 2nd item.

Encodings:

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Coulomb wave functions for all real $\eta$ and $\rho$ . Comput. Phys. Comm. 8 (5), pp. 377–395.

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Notes:

Single-precision Fortran code for positive energies. For modification see same journal, 11(1976), p. 141.

External Links:

Document, Code

Referenced by:

§3.10(iii), §33.26(ii), §33.8.

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An algorithm for regular and irregular Coulomb and Bessel functions of real order to machine accuracy. Comput. Phys. Comm. 21 (3), pp. 297–314.

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External Links:

Document

Referenced by:

§3.10(iii), §33.22(iv).

Encodings:

BibTeX

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COULFG: Coulomb and Bessel functions and their derivatives, for real arguments, by Steed’s method. Comput. Phys. Comm. 27, pp. 147–166.

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Notes:

Double-precision Fortran code for positive energies. Maximum accuracy: 31S.

External Links:

Document, Code

Referenced by:

2nd item, 2nd item.

Encodings:

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Bounds and algorithms for the $K$-Bessel function of imaginary order. LMS J. Comput. Math. 16, pp. 78–108.

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External Links:

ISSN 1461-1570, Document, MathReview (Jürgen Müller), ZentralBlatt

Referenced by:

§10.45, §10.45.

Encodings:

BibTeX

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