𝔖 Bobbio Scriptorium
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Continuum modeling of large networks

✍ Scribed by Edwin K. P. Chong; Donald Estep; Jan Hannig

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
668 KB
Volume
21
Category
Article
ISSN
0894-3370

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✦ Synopsis

Abstract

This paper is concerned with the modeling and simulation of extremely large networks. We derive a time‐dependent diffusion–convection partial differential equation, the solution of which captures the global characteristics of a stochastic network model. Continuum modeling provides a powerful way to deal with the number of components in large networks and opens up the use of highly sophisticated mathematical tools such as adaptive finite element methods. This, in turn, makes it possible to carry outβ€”with reasonable computational burden even for very large systemsβ€”network performance evaluation and prototyping, network design, systematic parameter studies, and optimization of network characteristics. Copyright Β© 2007 John Wiley & Sons, Ltd.

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