Gil, Amparo., Segura, Javier.Temme, N. M. (2007) Numerical methods for special functionsPhiladelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),MLA Citation
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Numerical methods for special functions [electronic resource] /
Amparo Gil, Javier Segura, Nico M. Temme.
|Main Author:||Gil, Amparo.|
|Other Names:||Segura, Javier. | Temme, N. M.|
|Published:||Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2007.|
|Topics:||Functions, Special - Data processing. | Numerical analysis. | Asymptotic expansions. | Approximation theory.|
|Physical Description:||1 electronic text (xiv, 417 p. : ill.) : digital file.
|Includes:||Includes bibliographical references (p. 389-404) and index.
|ISBN:||9780898717822 (electronic bk.)
|System Details:||Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader.
|Abstract:||Special functions arise in many problems of pure and applied mathematics, mathematical statistics, physics, and engineering. This book provides an up-to-date overview of numerical methods for computing special functions and discusses when to use these methods depending on the function and the range of parameters. Not only are standard and simple parameter domains considered, but methods valid for large and complex parameters are described as well. The first part of the book (basic methods) covers convergent and divergent series, Chebyshev expansions, numerical quadrature, and recurrence relations. Its focus is on the computation of special functions; however, it is suitable for general numerical courses. Pseudoalgorithms are given to help students write their own algorithms. In addition to these basic tools, the authors discuss other useful and efficient methods, such as methods for computing zeros of special functions, uniform asymptotic expansions, Padâe approximations, and sequence transformations. The book also provides specific algorithms for computing several special functions (like Airy functions and parabolic cylinder functions, among others).
|Restrictions:||Restricted to subscribers or individual electronic text purchasers.
Temme, N. M.
Society for Industrial and Applied Mathematics.