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~tqw~ darksiderg
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  *******************************************************************************<br /> The SIAM 100-Digit Challenge: A Study in High-Accuracy Numerical Computing <br /> *******************************************************************************<br /> <br /> -------------------------------------------------------------------------------<br /> General Information<br /> -------------------------------------------------------------------------------<br /> Type.................: Ebook<br /> Part Size............: 5,158,472 bytes<br /> <br /> <br /> <br /> <br /> -------------------------------------------------------------------------------<br /> Post Information<br /> -------------------------------------------------------------------------------<br /> Posted by............: ~tqw~<br /> <br /> -------------------------------------------------------------------------------<br /> Release Notes<br /> -------------------------------------------------------------------------------<br /> The authors, members of teams that solved all 10 problems, show in detail <br /> multiple approaches for solving each problem, ranging from elementary to <br /> sophisticated, from brute-force to schemes that can be scaled to provide <br /> thousands of digits of accuracy and that can solve even larger related problems. <br /> The authors touch on virtually every major technique of modern numerical <br /> analysis: matrix computation, iterative linear methods, limit extrapolation and <br /> convergence acceleration, numerical quadrature, contour integration, <br /> discretization of PDEs, global optimization, Monte Carlo and evolutionary <br /> algorithms, error control, interval and high-precision arithmetic, and many <br /> more. The SIAM 100-Digit Challenge: A Study in High-Accuracy Numerical Computing <br /> gives concrete examples of how to justify the validity of every single digit of <br /> a numerical answer. Methods range from carefully designed computer experiments <br /> to a posteriori error estimates and computer-assisted proofs based on interval <br /> arithmetic.<br /> <br /> Table Of Contents<br /> <br /> Foreword iii<br /> Preface vii<br /> The Story 1<br /> 1 A Twisted Tail 17<br /> 2 Reliability amid Chaos 33<br /> 3 How Far Away Is Infinity? 47<br /> 4 Think Globally, Act Locally 77<br /> 5 A Complex Optimization 103<br /> 6 Biasing for a Fair Return 123<br /> 7 Too Large to Be Easy, Too Small to Be Hard 149<br /> 8 In the Moment of Heat 171<br /> 9 Gradus ad Parnassum 183<br /> 10 Hitting the Ends 201<br /> A Convergence Acceleration 227<br /> B Extreme Digit-Hunting 263<br /> C Code 267<br /> D More Problems 287<br /> Bibliography 293<br /> Index 305<br /> <br /> Product Details<br /> <br /> * ISBN: 089871561X<br /> * ISBN-13: 9780898715613<br /> * Format: Paperback: 318 pages<br /> * Publisher: SIAM<br /> * Pub. Date: April 2004<br /> <br /> -------------------------------------------------------------------------------<br /> Install Notes<br /> -------------------------------------------------------------------------------<br /> PDF Reader<br />
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