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Name:The SIAM 100 Digit Challenge A Study in High Accuracy Numerical Computing~tqw~ darksiderg

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The SIAM 100-Digit Challenge: A Study in High-Accuracy Numerical Computing
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Type.................: Ebook
Part Size............: 5,158,472 bytes




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Posted by............: ~tqw~

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Release Notes
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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.

Table Of Contents

Foreword iii
Preface vii
The Story 1
1 A Twisted Tail 17
2 Reliability amid Chaos 33
3 How Far Away Is Infinity? 47
4 Think Globally, Act Locally 77
5 A Complex Optimization 103
6 Biasing for a Fair Return 123
7 Too Large to Be Easy, Too Small to Be Hard 149
8 In the Moment of Heat 171
9 Gradus ad Parnassum 183
10 Hitting the Ends 201
A Convergence Acceleration 227
B Extreme Digit-Hunting 263
C Code 267
D More Problems 287
Bibliography 293
Index 305

Product Details

* ISBN: 089871561X
* ISBN-13: 9780898715613
* Format: Paperback: 318 pages
* Publisher: SIAM
* Pub. Date: April 2004

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