Numerical Methods for Special Functions
- Authors:
- Amparo Gil, Universidad de Cantabria, Spain
- Javier Segura, Universidad de Cantabria, Spain
- Nico M. Temme, Stichting Centrum voor Wiskunde en Informatica (CWI), Amsterdam
- Date Published: March 2008
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
- format: Paperback
- isbn: 9780898716344
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Special functions arise in many problems of pure and applied mathematics, mathematical statistics, physics, and engineering. This book provides an overview of numerical methods for computing special functions and discusses when to use these methods depending on the function and the range of parameters. It considers not only standard and simple parameter domains, but also describes methods valid for large and complex parameters. While its focus is on the computation of special functions, it is also suitable for general numerical analysis courses. The authors provide pseudoalgorithms to help students write their own algorithms, and also discuss other useful and efficient methods, such as methods for computing zeros of special functions, uniform asymptotic expansions and Padé approximations. It also includes specific algorithms for computing several special functions. Intended for researchers in applied mathematics, scientific computing, physics, engineering, statistics, and other scientific disciplines in which special functions are used as computational tools.
Read more- Contains chapters describing basic methods, which are suitable for general numerical courses
- Includes references to recent literature on basic and lesser-known methods for computing special functions
- Introduces techniques and methods that have previously only been described in scientific journals, such as the numerical use of uniform asymptotic expansions
Customer reviews
17th Oct 2024 by UName-278935
This book is quite useful in numerical analysis, approximation theory, and corresponding engineering application.
Review was not posted due to profanity
×Product details
- Date Published: March 2008
- format: Paperback
- isbn: 9780898716344
- length: 430 pages
- dimensions: 254 x 178 x 22 mm
- weight: 0.734kg
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
Table of Contents
List of algorithms
Preface
1. Introduction
Part I. Basic Methods:
2. Convergent and divergent series
3. Chebyshev expansions
4. Recurrence relations and continued fractions
5. Quadrature methods
Part II. Further Tools and Methods:
6. Continued fractions
7. Computation of the zeros of special functions
8. Uniform asymptotic expansions
9. Other methods
Part III. Related Topics and Examples:
10. Inversion of distribution functions
11. Further examples
Part IV. Software:
12. Associated algorithms
Bibliography
Index.-
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Numerical Methods for Special Functions
Amparo Gil, Javier Segura, Nico M. Temme
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