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Zh. Vychisl. Mat. Mat. Fiz., 1998, Volume 38, Number 6, Pages 1017–1020 (Mi zvmmf1879)  

This article is cited in 23 scientific papers (total in 23 papers)

Simulation of diffusion processes by means of cellular automata with Margolus neighborhood

G. G. Malinetskii, M. E. Stepantsov

Institute for Applied Mathematics, Russian Academy of Sciences, Moscow

Full text: PDF file (519 kB)
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English version:
Computational Mathematics and Mathematical Physics, 1998, 38:6, 973–975

Bibliographic databases:
UDC: 519.7
MSC: Primary 76M28; Secondary 76R50, 68Q80
Received: 21.01.1997

Citation: G. G. Malinetskii, M. E. Stepantsov, “Simulation of diffusion processes by means of cellular automata with Margolus neighborhood”, Zh. Vychisl. Mat. Mat. Fiz., 38:6 (1998), 1017–1020; Comput. Math. Math. Phys., 38:6 (1998), 973–975

Citation in format AMSBIB
\Bibitem{MalSte98}
\by G.~G.~Malinetskii, M.~E.~Stepantsov
\paper Simulation of diffusion processes by means of cellular automata with Margolus neighborhood
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1998
\vol 38
\issue 6
\pages 1017--1020
\mathnet{http://mi.mathnet.ru/zvmmf1879}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1646886}
\zmath{https://zbmath.org/?q=an:1086.76585}
\transl
\jour Comput. Math. Math. Phys.
\yr 1998
\vol 38
\issue 6
\pages 973--975


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Bandman O.L., “Comparative study of cellular-automata diffusion models”, Parallel computing technologies, Lecture Notes in Comput. Sci., 1662, Springer, Berlin, 1999, 395–409  crossref  isi  scopus
    2. Bandman O.L., “Cellular neural models of spatial time dynamics”, Program. Comput. Software, 25:1 (1999), 1–12  mathscinet  adsnasa  isi
    3. Bandman O., “A hybrid approach to reaction-diffusion processes simulation”, Parallel computing technologies, Lecture Notes in Comput. Sci., 2127, Springer, Berlin, 2001, 1–16  crossref  zmath  isi
    4. Bandman O., “Simulating spatial dynamics by probabilistic cellular automata”, Cellular automata, Lecture Notes in Comput. Sci., 2493, Springer, Berlin, 2002, 10–19  crossref  mathscinet  zmath  isi
    5. Bandman O., “Cellular-neural automaton: a hybrid model for reaction-diffusion simulation”, Future Generation Computer Systems, 18:6 (2002), 737–745  crossref  zmath  isi  scopus
    6. Bandman O., “Accuracy and stability of spatial dynamics simulation by cellular automata evolution”, Parallel computing technologies, Lecture Notes in Comput. Sci., 2763, Springer, Berlin, 2003, 20–34  crossref  isi
    7. M. E. Stepantsov, “Matematicheskaya model napravlennogo dvizheniya gruppy lyudei”, Matem. modelirovanie, 16:3 (2004), 43–49  mathnet  zmath
    8. G. G. Malinetskii, M. E. Stepantsov, “Application of cellular automata to modeling the motion of a group of people”, Comput. Math. Math. Phys., 44:11 (2004), 1992–1996  mathnet  mathscinet  zmath
    9. Bandman O., “Algebraic properties of cellular automata: The basis for composition technique”, Cellular automata. 6th international conference on cellular automata for research and industry, ACRI 2004, Lecture Notes in Comput. Sci., 3305, Springer, Berlin, 2004, 688–697  crossref  zmath  adsnasa  isi
    10. Bandman O.L., “Computation properties of spatial dynamics simulation by probabilistic cellular automata”, Future Generation Computer Systems, 21:5 (2005), 633–643  crossref  isi  elib  scopus
    11. Bandman O., “Coarse-grained parallelization of cellular-automata simulation algorithms”, Parallel Computing Technologies, Proceedings, Lecture Notes in Computer Science, 4671, 2007, 370–384  crossref  mathscinet  isi
    12. Deserable D., Dupont P., Hellou M., Kamali-Bernard S., “Cellular automata models for complex matter”, Parallel Computing Technologies, Proceedings, Lecture Notes in Computer Science, 4671, 2007, 385–400  crossref  zmath  isi
    13. Baryshnikova E.V., Uskova I.U., Berestova E.V., Povernov E.S., Sypin E.V., “Physical Processes in Coal Dust Investigation on Reduction Factor of Optical Radiation”, Edm: 2009 10th International Conference and Seminar on Micro/Nanotechnologies and Electron Devices, 2009, 304–307  crossref  isi  scopus
    14. K. V. Kalgin, “Implementation of algorithms with a fine-grained parallelism on GPUs”, Num. Anal. Appl., 4:1 (2011), 46–55  mathnet  crossref
    15. O. L. Bandman, “Invarianty kletochno-avtomatnykh modelei reaktsionno-diffuzionnykh protsessov”, PDM, 2012, no. 3(17), 108–120  mathnet
    16. Zhikharevich V.V., Shumilyak L.M., “Approksimatsiya resheniya nestatsionarnogo uravneniya teploprovodnosti metodom veroyatnostnykh nepreryvnykh asinkhronnykh kletochnykh avtomatov dlya odnomernogo sluchaya”, Kompyuternye issledovaniya i modelirovanie, 4:2 (2012), 293–301  elib
    17. O. L. Bandman, A. E. Kireeva, “Stochastic cellular automata simulation of oscillations and autowaves in reaction-diffusion systems”, Num. Anal. Appl., 8:3 (2015), 208–222  mathnet  crossref  crossref  mathscinet  elib
    18. Shumilov A.S., Amirov I.I., “Morphology Simulation of the Surface Subjected To Low-Energy Ion Sputtering”, Tech. Phys., 60:7 (2015), 1056–1062  crossref  isi  elib  scopus
    19. S. V. Gavrilov, I. V. Matyushkin, “Statisticheskii analiz blochno-povorotnogo mekhanizma Margolusa v kletochno-avtomatnoi modeli diffuzii v srede s diskretnymi osobennostyami”, Kompyuternye issledovaniya i modelirovanie, 7:6 (2015), 1155–1175  mathnet  crossref
    20. L. M. Shumilyak, V. V. Zhikharevich, S. E. Ostapov, “Modelirovanie yavleniya segregatsii primesi v protsesse kristallizatsii rasplava metodom nepreryvnykh kletochnykh avtomatov”, PDM, 2016, no. 1(31), 104–118  mathnet  crossref
    21. Gurikov A., Kolnoochenko A., Golubchikov M., Menshutina N., Smirnova I., “a Synchronous Cellular Automaton Model of Mass Transport in Porous Media”, Comput. Chem. Eng., 84 (2016), 446–457  crossref  isi  elib  scopus
    22. Shumylyak L., Zhikharevich V., Ostapov S., “Modeling of impurities segregation phenomenon in the melt crystallization process by the continuous cellular automata technique”, Appl. Math. Comput., 290 (2016), 336–354  crossref  mathscinet  isi  elib  scopus
    23. N. A. Shalyapina, M. L. Gromov, “«Life» in tensor: implementing cellular automata on graphics adapters”, Trudy ISP RAN, 31:3 (2019), 217–228  mathnet  crossref  elib
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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