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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Bibliographic Details
Published in:AIP advances 2019-12, Vol.9 (12), p.125211-125211-10
Main Author: Longo, R. T.
Format: Article
Language:English
Subjects:
Asymptotic methods
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Summary: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.
ISSN:2158-3226
2158-3226
DOI:10.1063/1.5129638