- 95-47 Michael Blank
- Round-off induced instabilities and some unusual arithmetics
Feb 14, 95
(auto. generated ps),
of related papers
Abstract. We consider some unusual phenomena that appear in long consecutive
calculations due to a new sort of round-off errors of Pentium
floating point division bug type. Mathematical model of these
round-off errors is proposed and new phenomena in numerical
simulations of dynamical systems (differential equations) and other
numerical procedures are discussed. It is shown also that these new
phenomena could appear not only with Pentium floating point division
bugs, but in a more general situation, when one tooks into account
round-off errors on the each elementary step of calculations, rather
than on the final step only.
P.S. Figure 3 is available upon request in PS-format.