Computation of Special Functions - Hardcover

Zhang, Shanjie; Jin, Jian-Ming

9780471119630: Computation of Special Functions

Hardcover

ISBN 10: 0471119636 ISBN 13: 9780471119630

Publisher: Wiley-Interscience, 1996

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Deals with the automatic computation of special functions which appear in all areas of engineering and the physical sciences. Contains over 100 computer programs written by the authors and describes the algorithms to provide readers with specific information about each individual program. Consisting of three sections, the first one presents an introduction to the special function to be dealt with, its major properties, and several formulas needed for its computation. The second segment features algorithms for computing the special function and the related quantities and lists corresponding Fortran-77 programs. The final part tabulates representative results to offer a quick outlook on the function's behavior and to check the computed results. The accompanying disk contains all the computer programs discussed in the text.

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From the Back Cover

The computation of special functions is a fundamental aspect of numerical analysis in virtually all areas of engineering and the physical sciences. Because most of these special functions are in the form of infinite series or infinite integrals, their solutions are often quite complicated. Fortunately, the difficulty has been lessened considerably by the advent of powerful personal computer hardware and software. Yet, until now, no single-source reference has offered comprehensive coverage of the automated computation of special functions.

Computation of Special Functions is a valuable book/software package containing more than 100 original computer programs for the computation of most special functions currently in use. These include many functions commonly omitted from available software packages, such as the Bessel and modified Bessel functions, the Mathieu and modified Mathieu functions, parabolic cylinder functions, and various prolate and oblate spheroidal wave functions. Also, unlike most software packages, this book/disk set gives readers the latitude to modify programs according to the special demands of the sophisticated problems they are working on. The authors provide detailed descriptions of the programs' algorithms as well as specific information about each program's internal structure.

To facilitate quick reference, each chapter follows the same, three-part format. The first part covers major properties and important formulas needed for computation. The second part contains a description of the algorithm or algorithms at the heart of the FORTRAN-77 program in question. In the third part, the authors tabulate representative results to provide an at-a-glance understanding of the function's behavior as well as a valuable data-check for their computed results.

Computation of Special Functions is an indispensable tool for engineers and physical scientists as well as for students involved in advanced research in these fields.

An indispensable tool for anyone who needs to compute solutions for special functions

Computation of Special Functions is devoted exclusively to the automated solution of special functions used in all areas of engineering and the physical sciences. Not just another collection of formulas, graphs, and tables for special functions, this powerful book/software package:
* Treats most special functions used in numerical analysis in the physical sciences
* Covers functions usually not found in most software packages
* Supplies more than 100 original programs for computing special functions
* Describes the underlying algorithm or algorithms for each program
* Provides valuable information on each program's internal structure and development
* Offers a wealth of examples of typical computational results

About the Author

SHANJIE ZHANG is a professor in the Department of Electronic Science and Engineering at Nanjing University in China. His principal research interests include electromagnetic theory, micro-wave antennas, computational electromagnetics, and special functions in mathematical physics. He is a member of the Chinese Institute of Electronics, the Chinese Physical Society, and the Institute of Electrical and Electronics Engineers (IEEE). Professor Zhang is the author of more than 30 published articles and a textbook on numerical methods.

JIANMING JIN, PhD, joined the faculty of the Department of Electrical and Computer Engineering at the University of Illinois at Urbana-Champaign in 1993, after working as a senior scientist at Otsuka Electronics, Inc., USA. He is a recipient of the National Science Foundation Young Investigator Award and the Office of Naval Research Young Investigator Award. He is a senior member of the IEEE and a member of the U.S. National Committee of the International Radio Science Union and the Society of Magnetic Resonance. Professor Jin is the author of more than 40 published articles on computational electromagnetics, electromagnetic theory, and magnetic resonance imaging, and the first comprehensive textbook on the finite element method for electromagnetic analysis, The Finite Element Method in Electromagnetics, also available from Wiley.

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