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The SIAM 100-digit challenge : a study in high-accuracy numerical computing
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 o...
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| Auteurs principaux : | , , , |
|---|---|
| Autres auteurs : | |
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | The SIAM 100-digit challenge : a study in high-accuracy numerical computing / Folkmar Bornemann, Dirk Laurie, Stan Wagon, Jörg Waldvogel; with a foreward by David H. Bailey |
| Publié : |
Philadelphia :
Society for Industrial and Applied Mathematics
, 2004 |
| Description matérielle : | 1 vol. (XI-306 p.) |
| Collection : | Other titles in applied mathematics Society for industrial and applied mathematics |
| Titre de l'ensemble : | Other titles in applied mathematics vol. 86 |
| Sujets : | |
| Documents associés : | Autre format:
The SIAM 100-digit challenge |
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| 200 | 0 | |a The SIAM 100-digit challenge |e a study in high-accuracy numerical computing |f Folkmar Bornemann, Dirk Laurie, Stan Wagon, Jörg Waldvogel |g with a foreward by David H. Bailey | |
| 210 | |a Philadelphia |c Society for Industrial and Applied Mathematics |d 2004 | ||
| 215 | |a 1 vol. (XI-306 p.) |c ill., fig., couv. ill. en coul. |d 25 cm | ||
| 225 | 1 | |a Other titles in applied mathematics |v 86 | |
| 320 | |a Bibliogr. p. 287-299. Index | ||
| 330 | |a 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. [source : 4ème de couv.] | ||
| 359 | 2 | |b The Story |c Chapter 1: A Twisted Tail |c Chapter 2: Reliability amid Chaos |c Chapter 3: How Far Away Is Infinity? |c Chapter 4: Think Globally, Act Locally |c Chapter 5: A Complex Optimization |c Chapter 6: Biasing for a Fair Return |c Chapter 7: Too Large to Be Easy, Too Small to Be Hard |c Chapter 8: In the Moment of Heat |c Chapter 9: Gradus ad Parnassum |c Chapter 10: Hitting the Ends |c Appendix A: Convergence Acceleration |c Appendix B: Extreme Digit-Hunting |c Appendix C: Code |b Appendix D: More Problems | |
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