Work

Interval arithmetic in calculations

Year: 2016

Type: article

Abstract: Interval arithmetic is the mathematical structure, which for real intervals defines operations analogous to ordinary arithmetic ones. This field of mathematics is also called interval analysis or interval calculations. The given math model is convenient for investigating various applied objects: the quantities, the approximate values of which are known; the quantities obtained during calculations, the values of which are not exact because of rounding errors; random quantities. As a whole, the idea of interval calculations is the use of intervals as basic data objects. In this paper, we considered the definition of interval mathematics, investigated its properties, proved a theorem, and showed the efficiency of the new interval arithmetic. Besides, we briefly reviewed the works devoted to interval analysis and observed basic tendencies of development of integral analysis and interval calculations.

Source: Open Engineering

DOI: 10.1515/eng-2016-0036

Authors: Gaziza Bairbekova, Talgat Mazakov, Sholpan Djomartova, Salima Nugmanova

Institutions: Al-Farabi Kazakh National University, Institute of Information and Computational Technologies, Abai Kazakh National Pedagogical University

Language: English

Topic: Numerical Methods and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,187

OpenAlex ID: W2531534085

FWCI:

Cites: 1

Cited by: 7

Related to: 10