- Paperback: 318 pages
- Publisher: Society for Industrial and Applied Mathematics (January 1, 1987)
- Language: English
- ISBN-10: 089871561X
- ISBN-13: 978-0898715613
- Product Dimensions: 6 x 0.6 x 9 inches
- Shipping Weight: 1.2 pounds (View shipping rates and policies)
- Average Customer Review: 4 customer reviews
- Amazon Best Sellers Rank: #1,253,886 in Books (See Top 100 in Books)
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The SIAM 100-Digit Challenge: A Study in High-Accuracy Numerical Computing
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"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
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.
Top customer reviews
analysis techniques, and with at least a full course or comparable
experience, it is an absolute goldmine of clever ideas with working
code, mostly in MATLAB or Mathematica. Each of 10 problems is
solved by several different techniques, usually to multiple numbers
of significant digits, with either proofs or ways to estimate the
number of correct digits or how much work is required to get the
number of correct digits one is interested in. Nicely written
with an excellent bibliography and introductory summary in an
Appendix. A few errors here and there in the equations, maybe
a deliberate test of whether the reader is paying attention.
Highly recommended to the indicated audience.