Variable-precision arithmetic considered perilous - a detective story
Electronic transactions on numerical analysis, Tome 28 (2008)
In 2002, I was interested in computations to very high precision, having been challenged by Nick Trefethen to compute a number he called $\tau$ up to 10000 digits. This number is the sum of ten other numbers, each of which was defined by a difficult computational problem. The story is told in [F. Bornemann, D. Laurie et al., The SIAM 100-Digit Challenge: A Study in High-Accuracy Numerical Computing, SIAM, Philadelphia (2004)].
@article{ETNA_2008__28__a3,
author = {Laurie, Dirk},
title = {Variable-precision arithmetic considered perilous - a detective story},
journal = {Electronic transactions on numerical analysis},
year = {2008},
volume = {28},
zbl = {1171.65393},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ETNA_2008__28__a3/}
}
Laurie, Dirk. Variable-precision arithmetic considered perilous - a detective story. Electronic transactions on numerical analysis, Tome 28 (2008). http://geodesic.mathdoc.fr/item/ETNA_2008__28__a3/