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.

Gives concrete examples of how to justify the validity of every single digit of a numerical answer.
Reviews
"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 Information
ISBN 9780898715613
Author Folkmar Bornemann
Format Paperback
Page Count 318
Imprint Society for Industrial & Applied Mathematics,U.S.
Publisher Society for Industrial & Applied Mathematics,U.S.
Weight(grams) 564g
Dimensions(mm) 253mm * 174mm * 16mm