Geodesic
Generalization of coarse-grained models with introduction of three-dimensional space
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 125 (2011) no. 4, pp. 110-117 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: mathematical modeling, ordinary differential equations, model space generalization. 
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M. N. Nazarov. Generalization of coarse-grained models with introduction of three-dimensional space. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 125 (2011) no. 4, pp. 110-117. http://geodesic.mathdoc.fr/item/VSGTU_2011_125_4_a13/

[1] Kanwal R. P., Generalized Functions: Theory and Technique, Birkhäuser Boston, Massachusetts, 1998, 474 pp. | MR | Zbl

[2] Pontryagin L. S., Ordinary Differential Equations, Nauka, Moscow, 1974, 331 pp.

[3] Tel G., Introduction to Distributed Algorithms, Cambridge University Press, Cambridge – New York, 1994, 546 pp. | MR | Zbl