Work

Cycles and circles in roundoff errors

Year: 1993

Type: article

Abstract: When a series of measurements is performed with increasingly coarse (or increasingly fine) precision, consecutive observations seem to be erratically distributed at first, and then organize themselves into cycles and patterns. The patterns, which arise because of roundoff errors, are related to a notion in number theory, the so-called Farey sequence.

Source: Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

DOI: 10.1103/physreve.47.4560

Author: George G. Szpiro

Institution: University of Zurich

Language: English

Topic: Numerical Methods and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2058193296

FWCI:

Cites: 2

Cited by: 5

Related to: 10