This article commences with a brief historical introduction to interval analysis and some applications in engineering. This is followed by a simple example motivating the use of interval analysis. A more detailed definition of interval analysis and some properties are then given followed by a discussion of the application of interval analysis to the problem of computing inclusions for the range of functions. A brief discussion of new types of interval based algorithms (mainly the interval Newton algorithm) is provided. The article is completed with a discussion of some application areas for interval analysis without claiming to be a complete survey.
Description
Interval Arithmetic and Interval Analysis: An Introduction | SpringerLink
%0 Book Section
%1 rokne2001interval
%A Rokne, Jon G.
%B Granular Computing: An Emerging Paradigm
%C Heidelberg
%D 2001
%E Pedrycz, Witold
%I Physica-Verlag HD
%K arithmetic ddm interval math mk3.3
%P 1--22
%R 10.1007/978-3-7908-1823-9_1
%T Interval Arithmetic and Interval Analysis: An Introduction
%U https://doi.org/10.1007/978-3-7908-1823-9_1
%X This article commences with a brief historical introduction to interval analysis and some applications in engineering. This is followed by a simple example motivating the use of interval analysis. A more detailed definition of interval analysis and some properties are then given followed by a discussion of the application of interval analysis to the problem of computing inclusions for the range of functions. A brief discussion of new types of interval based algorithms (mainly the interval Newton algorithm) is provided. The article is completed with a discussion of some application areas for interval analysis without claiming to be a complete survey.
%@ 978-3-7908-1823-9
@inbook{rokne2001interval,
abstract = {This article commences with a brief historical introduction to interval analysis and some applications in engineering. This is followed by a simple example motivating the use of interval analysis. A more detailed definition of interval analysis and some properties are then given followed by a discussion of the application of interval analysis to the problem of computing inclusions for the range of functions. A brief discussion of new types of interval based algorithms (mainly the interval Newton algorithm) is provided. The article is completed with a discussion of some application areas for interval analysis without claiming to be a complete survey.},
added-at = {2020-11-24T14:27:16.000+0100},
address = {Heidelberg},
author = {Rokne, Jon G.},
biburl = {https://www.bibsonomy.org/bibtex/2ecf52fd68db2777f866a20e057576ec0/jaeschke},
booktitle = {Granular Computing: An Emerging Paradigm},
description = {Interval Arithmetic and Interval Analysis: An Introduction | SpringerLink},
doi = {10.1007/978-3-7908-1823-9_1},
editor = {Pedrycz, Witold},
interhash = {d4987b9ad47e14e476c64bb5d2d74798},
intrahash = {ecf52fd68db2777f866a20e057576ec0},
isbn = {978-3-7908-1823-9},
keywords = {arithmetic ddm interval math mk3.3},
pages = {1--22},
publisher = {Physica-Verlag HD},
timestamp = {2021-05-05T09:10:37.000+0200},
title = {Interval Arithmetic and Interval Analysis: An Introduction},
url = {https://doi.org/10.1007/978-3-7908-1823-9_1},
year = 2001
}