Mathematical modeling technique

In this paper, a general modeling principle is introduced that was found useful for modeling complex physical systems for engineering applications. The technique is a nonlinear asymptotic method, constructed from simplified physical theories, i.e., physical theories that were developed from particul...

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Main Author: R. T. Longo
Format: Article
Language:English
Published: AIP Publishing LLC 2019-12-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.5129638
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spelling doaj-a84998aba44544a8a8883be63d55c8352020-11-25T00:14:28ZengAIP Publishing LLCAIP Advances2158-32262019-12-01912125211125211-1010.1063/1.5129638Mathematical modeling techniqueR. T. Longo0Boeing Aircraft Company, Torrance, California 90509, USAIn this paper, a general modeling principle is introduced that was found useful for modeling complex physical systems for engineering applications. The technique is a nonlinear asymptotic method, constructed from simplified physical theories, i.e., physical theories that were developed from particular points of view, that can be used to construct a more global theory. Originally, the technique was envisioned primarily for engineering applications, but its success has led to a more general principle. Four examples are presented to discuss and illustrate this method.http://dx.doi.org/10.1063/1.5129638
collection DOAJ
language English
format Article
sources DOAJ
author R. T. Longo
spellingShingle R. T. Longo
Mathematical modeling technique
AIP Advances
author_facet R. T. Longo
author_sort R. T. Longo
title Mathematical modeling technique
title_short Mathematical modeling technique
title_full Mathematical modeling technique
title_fullStr Mathematical modeling technique
title_full_unstemmed Mathematical modeling technique
title_sort mathematical modeling technique
publisher AIP Publishing LLC
series AIP Advances
issn 2158-3226
publishDate 2019-12-01
description In this paper, a general modeling principle is introduced that was found useful for modeling complex physical systems for engineering applications. The technique is a nonlinear asymptotic method, constructed from simplified physical theories, i.e., physical theories that were developed from particular points of view, that can be used to construct a more global theory. Originally, the technique was envisioned primarily for engineering applications, but its success has led to a more general principle. Four examples are presented to discuss and illustrate this method.
url http://dx.doi.org/10.1063/1.5129638
work_keys_str_mv AT rtlongo mathematicalmodelingtechnique
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