The SIAM 100-Digit Challenge : A Study in High-Accuracy Numerical Computing
Language: English
Published by Society For Industrial And Applied Mathematics (SIAM) Jan 1987, 1987
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
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Neuware - This book takes readers on a thrilling tour of some of the most important and powerful areas of contemporary numerical mathematics. The tour is organized along the 10 problems of the SIAM 100-Digit Challenge, a contest posed by Nick Trefethen of Oxford University in the January/February 2002 issue of SIAM News. The complete story of the contest as well as a lively interview with Nick Trefethen are also included.The authors, members of teams that solved all 10 problems, show in detail multiple approaches for solving each problem, ranging from elementary to sophisticated, from brute-force to schemes that can be scaled to provide thousands of digits of accuracy and that can solve even larger related problems. The authors touch on virtually every major technique of modern numerical analysis: matrix computation, iterative linear methods, limit extrapolation and convergence acceleration, numerical quadrature, contour integration, discretization of PDEs, global optimization, Monte Carlo and evolutionary algorithms, error control, interval and high-precision arithmetic, and many more.The SIAM 100-Digit Challenge: A Study in High-Accuracy Numerical Computing gives concrete examples of how to justify the validity of every single digit of a numerical answer. Methods range from carefully designed computer experiments to a posteriori error estimates and computer-assisted proofs based on interval arithmetic.This book will aid readers in developing problem-solving skills for making judicious method selections. The chapters may be read independently. Appendices A and B include basic methods of convergence acceleration and details of computing the solutions to very high accuracy. Full code for all the methods, examples, tables, and figures is given (partly in Appendix C, completely on the accompanying web page. The code is written in a variety of languages, including Mathematica, MATLAB, Maple, C, Octave, and PARI/GP. Appendix D offers a sample of additional challenging problems for those who master some of the techniques discussed here.…
Seller Inventory # 9780898715613
- Title
- The SIAM 100-Digit Challenge : A Study in High-Accuracy Numerical Computing
- Author
- Folkmar Bornemann
- Publisher
- Society For Industrial And Applied Mathematics (SIAM) Jan 1987
- Publication year
- 1987
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 089871561X
- ISBN 13
- 9780898715613
- Item weight
- 562 grams
- Dimensions
- 228x152x16 mm
"Synopsis" may belong to another edition of this title.
About the Author
Dirk Laurie is Professor in the department of mathematics at the University of Stellenbosch, South Africa. His interests include most of modern numerical mathematics, with a strong emphasis on the actual implementation of algorithms. He has been involved in mathematical competitions for over twenty years as a setter of problems for the South African Mathematical Olympiad.
Stan Wagon is Professor of mathematics and computer science at Macalester College in St. Paul, Minnesota. He is an expert in the use of Mathematica, which he has used in research and teaching for many years. He is the author of ten books and eighty papers and has won numerous writing awards, including the Ford Award, the Chauvenet Prize, and the Evans Award, all awarded by the Mathematics Association of America.
Jörg Waldvogel is Professor emeritus at the Seminar for Applied Mathematics of the Swiss Federal Institute of Technology (ETH) in Zurich, Switzerland. His main fields of research are engineering mathematics, numerical analysis, celestial mechanics, complex analysis, number theory, and asymptotics. In 1976 he was awarded a prize by the Belgian Royal Academy for his contribution to the theory of the three-body problem. Since his retirement in 2003 he has remained active as a part-time teacher, committee member, counselor, and researcher.
"About the title" may belong to another edition of this title.
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