Generalization of coarse-grained models with introduction of three-dimensional space
- Authors: Nazarov M.N1
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Affiliations:
- National Research University of Electronic Technology
- Issue: Vol 15, No 4 (2011)
- Pages: 110-117
- Section: Articles
- URL: https://journals.eco-vector.com/1991-8615/article/view/20956
- ID: 20956
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Abstract
As a candidate for generalization in the scope of this work we consider any model derived from a system of first order ordinary differential equations for quantities of abstract bulk objects. The main objective of this work is to construct a universal scheme for generalization of such models with introduction of three-dimensional space and regard for migration of objects without switching to partial derivatives.
About the authors
Maxim N Nazarov
National Research University of Electronic Technology
Email: nazarov-maximilian@yandex.ru
аспирант, каф. высшей математики-1; Национальный исследовательский университет «МИЭТ»; National Research University of Electronic Technology
References
- Kanwal R. P. Generalized Functions: Theory and Technique. Massachusetts: Birkhäuser Boston, 1998. 474 pp.
- Понтрягин Л. С. Обыкновенные дифференциальные уравнения. М.: Наука, 1974. 331 с.
- Tel G. Introduction to Distributed Algorithms. Cambridge - New York: Cambridge University Press, 1994. 546 pp.