Geodesic
Cellular automata simulation on surface triangulation for diffusion processes
Prikladnaâ diskretnaâ matematika, no. 4 (2009), pp. 72-83 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

This work is devoted to the development of techniques for cellular automata simulation on triangulation grids on flat and curved surfaces. Possibilities of the proposed techniques are shown on examples of cellular automata simulation of diffusion, front propagation and diffusion-limited aggregation.
Keywords: cellular automata
Mots-clés : triangulation, diffusion, front propagation. 
@article{PDM_2009_4_a6,
     author = {A. A. Evseev and O. I. Nechaeva},
     title = {Cellular automata simulation on surface triangulation for diffusion processes},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {72--83},
     year = {2009},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2009_4_a6/}
}
TY  - JOUR
AU  - A. A. Evseev
AU  - O. I. Nechaeva
TI  - Cellular automata simulation on surface triangulation for diffusion processes
JO  - Prikladnaâ diskretnaâ matematika
PY  - 2009
SP  - 72
EP  - 83
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/PDM_2009_4_a6/
LA  - ru
ID  - PDM_2009_4_a6
ER  - 
%0 Journal Article
%A A. A. Evseev
%A O. I. Nechaeva
%T Cellular automata simulation on surface triangulation for diffusion processes
%J Prikladnaâ diskretnaâ matematika
%D 2009
%P 72-83
%N 4
%U http://geodesic.mathdoc.fr/item/PDM_2009_4_a6/
%G ru
%F PDM_2009_4_a6
A. A. Evseev; O. I. Nechaeva. Cellular automata simulation on surface triangulation for diffusion processes. Prikladnaâ diskretnaâ matematika, no. 4 (2009), pp. 72-83. http://geodesic.mathdoc.fr/item/PDM_2009_4_a6/

[1] Bandman O. L., “Kletochno-avtomatnye modeli prostranstvennoi dinamiki”, Sistemnaya informatika, 2006, no. 10, 59–113

[2] Wolfram S., A new kind of science, Wolfram Media Inc., Champaign, Ill., USA, 2002 | MR | Zbl

[3] Bandman O., “Comparative Study of Cellular automata Diffusion Models”, LNCS, 1662, ed. V. Malyshkin, 1999, 395–399

[4] Toffoli T., Margolus N., Mashiny kletochnykh avtomatov, Mir, M., 1991

[5] Malinetskii G. G., Stepantsov M. E., “Modelirovanie diffuzionnykh protsessov kletochnymi avtomatami s okrestnostyu Margolusa”, Zhurn. vychislit. matem. i matematich. fiz., 36:6 (1998), 1017–1021 | MR

[6] Bandman O. L., “Cellular Automata composition techniques for spatial dynamics simulation”, Bulletin of the Novosibirsk Computing Center, 27, 2008, 1–40

[7] Helwig P., Faust G., “Finite element analysis of a bone-implant system with the proximal femur nail”, Technol. Health Care., 14:4–5 (2006), 411–419