The SIAM 100-Digit Challenge: A Study in High-Accuracy Numerical Computing - Brossura

Bornemann, Folkmar; Laurie, Dirk; Wagon, Stan; Waldvogel, Jörg

Brossura

ISBN 10: 089871561X ISBN 13: 9780898715613

Casa editrice: Society for Industrial and Applied Mathematics, 2004

Riassunto

Gives concrete examples of how to justify the validity of every single digit of a numerical answer.

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Descrizione del libro

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.

Contenuti

Foreword; Preface; The Story; 1. A Twisted Tail; 2. Reliability amid Chaos; 3. How Far Away Is Infinity?; 4. Think Globally; Act Locally; 5. A Complex Optimization; 6. Biasing for a Fair Return; 7. Too Large to Be Easy; Too Small to Be Hard; 8. In the Moment of Heat; 9. Gradus ad Parnassum; 10. Hitting the Ends; Appendix A. Convergence Acceleration; Appendix B. Extreme Digit-Hunting; Appendix C. Code; Appendix D. More Problems; References; Index.

Dettagli dell'edizione

• Editore: Society for Industrial and Applied Mathematics
• Data di pubblicazione: 2004
• Lingua: Inglese
• ISBN 10: 089871561X
• ISBN 13: 9780898715613
• Rilegatura: Copertina flessibile
• Numero di pagine: 318
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile