Numerical Methods for Special Functions is popular PDF and ePub book, written by Amparo Gil in 2007-01-01, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Numerical Methods for Special Functions can be Read Online from any device for your convenience.
Numerical Methods for Special Functions Book PDF Summary
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, Padé approximations, and sequence transformations. The book also provides specific algorithms for computing several special functions (like Airy functions and parabolic cylinder functions, among others).
Detail Book of Numerical Methods for Special Functions PDF
- Author : Amparo Gil
- Release : 01 January 2007
- Publisher : SIAM
- ISBN : 0898717825
- Genre : Mathematics
- Total Page : 431 pages
- Language : English
- PDF File Size : 16,8 Mb
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