Numerical Methods for Special Functions by Amparo Gil, Javier Segura, Nico Temme
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About this book :-
Numerical Methods for Special Functions written by
Amparo Gil, Javier Segura, Nico Temme .
This textbook is intended to provide assistance when a researcher or a student needs to get the numbers from analytical formulas containing special functions. This book should be useful for those who need to compute a function by their own means, or for those who want to know more about the numerical methods behind the available algorithms. The main purpose is to provide a guide of available methods for computations and when to use them.
Also, because of the large variety of numerical methods that are available for computing special functions, we expect that a broader "numerical audience" will be interested in many of the topics discussed (particularly in the first part of the book). Several levels of reading are possible in this book and most of the chapters start with basic principles. Examples are given to illustrate the use of the methods, pseudoalgorithms are given to describe technical details, and published algorithms for computing a selection of functions are described as practical illustrations for the basic methods of this book.
Book Detail :-
Title: Numerical Methods for Special Functions
Edition:
Author(s): Amparo Gil, Javier Segura, Nico Temme
Publisher:
Series:
Year: 2007
Pages: 433
Type: PDF
Language: English
ISBN: 9780898716344,0898716349
Country: Netherlands
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About Author :-
The author Nico M. Temme , Centrum voor Wiskunde en Informatica, Amsterdam, The Netherlands.
Nico Temme’s main research interests are the asymptotic and numerical aspects of special functions. He has published numerous papers on these topics, and his well-known book Special Functions: An Introduction to the Classical Functions of Mathematical Physics
Temme was a member of the original editorial committee for the DLMF project, in existence from the mid-1990’s to the mid-2010’s. During this time he served as Associate Editor with responsibilities for all aspects of the project.
Amparo Gil , Universidad de Cantabria, Santander, Cantabria, Spain
Javier Segura , Universidad de Cantabria, Santander, Cantabria, Spain
All Famous Books of this Author :-
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• Download PDF Special Functions: Classical Functions of Mathematical Physics by Nico M. Temme
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Book Contents :-
Special Functions: Classical Functions of Mathematical Physics written by
Nico M. Temme
cover the following topics.
Preface
Part-I Introduction
1. Basic Methods
3. Chebyshev Expansions
4. Linear Recurrence Relations and Associated Continued Fractions
5. Quadrature Methods
Part-II Further Tools and Methods
6. Numerical Aspects of 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 Cumulative Distribution Functions
11. Further Examples
Part-IV Software
12. Associated Algorithms
List of Algorithms
Bibliography
Index
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