Steffensen method

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21: 5.21 Methods of Computation

§5.21 Methods of Computation

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22: 11.13 Methods of Computation

§11.13 Methods of Computation

… ►For a review of methods for the computation of ${𝐇}_{\nu }\left(z\right)$ see Zanovello (1975). … ►For complex variables the methods described in §§3.5(viii) and 3.5(ix) are available. … ►A comprehensive approach is to integrate the defining inhomogeneous differential equations (11.2.7) and (11.2.9) numerically, using methods described in §3.7. … ►In consequence forward recurrence, backward recurrence, or boundary-value methods may be necessary. …

23: 12.16 Mathematical Applications

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24: 31.18 Methods of Computation

§31.18 Methods of Computation

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25: Peter A. Clarkson

… ►Clarkson has published numerous papers on integrable systems (primarily Painlevé equations), special functions, and symmetry methods for differential equations. … Kruskal, he developed the “direct method” for determining symmetry solutions of partial differential equations in New similarity reductions of the Boussinesq equation (with M. …

26: 33.23 Methods of Computation

§33.23 Methods of Computation

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§33.23(i) Methods for the Confluent Hypergeometric Functions

►The methods used for computing the Coulomb functions described below are similar to those in §13.29. … ►

§33.23(vi) Other Numerical Methods

►Curtis (1964a, §10) describes the use of series, radial integration, and other methods to generate the tables listed in §33.24. …

27: 24.19 Methods of Computation

§24.19 Methods of Computation

… ►For higher values of $n$ more efficient methods are available. …A similar method can be used for the Euler numbers based on (4.19.5). … ►Another method is based on the identities … ►We list here three methods, arranged in increasing order of efficiency. …

28: Nico M. Temme

… ►Segura) of Numerical Methods for Special Functions, published by SIAM in 2007. His book Asymptotic Methods for Integrals was published by World Scientific in 2015. … ►

3 Numerical Methods

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29: Bibliography X

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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

30: T. Mark Dunster

… ►He has received a number of National Science Foundation grants, and has published numerous papers in the areas of uniform asymptotic solutions of differential equations, convergent WKB methods, special functions, quantum mechanics, and scattering theory. …