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

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

Softcover

ISBN 10: 089871561X ISBN 13: 9780898715613

Publisher: Society for Industrial and Applied Mathematics, 1987

Synopsis

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.

About this title

Review

"Destined to be a classic of modern computational science... a gourmet feast in ten courses." from the foreword by David H. Bailey, Lawrence Berkeley National Laboratory."

Book Description

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.

Edition details

• Publisher: Society for Industrial and Applied Mathematics
• Publication date: 1987
• Language: English
• ISBN 10: 089871561X
• ISBN 13: 9780898715613
• Binding: Paperback
• Number of pages: 318