Abstract
A more detailed survey of stochastic models and modeling can be found on internet websites.
“When using a mathematical model, careful attention must be given to the uncertainties in the model.”
Richard Phillips Feynman (11.5.1918–15.2.1988).
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References
BARTHLOMEW D. J.: Stochastic models for social progress. John Wiley, New York 1973.
BHAT N. U.: Elements of applied stochastic processes. John Wiley, 1998.
BINDER K. HERMAN D. W.: Monte Carlo simulation in statistical physics. Springer 1992, 129 p.
CHUKWUDI IBE O.: Markov processes for stochastic modeling. Academic Press, 2008, 490 p.
EMERY A. F., CARSON W. W.: A modification to the Monte Carlo method – The Exodus method. Transaction of the ASME, ser. C, Journal of Heat Transfer, 90 (1968), p. 328–332.
FISHMAN G. S.: Monte Carlo: Concept, algorithmus and applications. Springer, 1995.
FRANTA V.: Hybrid stochastic model of multidimensional physical fields. In: 3st Modelowanie zagadnien brzegowych. Wyd. Pol. Akad.Nauk, Warszawa 1975, pp. 113–122.
FRANTA V.: Probability numerical solution of the field theory indirect problem. In: 4th. Modelowanie zagadnien brzegowych, Jablonna 1978. Wyd. Pol. Akad. Nauk, Warszawa 1978, pp. 36–44.
FRANTA V., KUNEŠ J., VAVROCH O.: Hybrid Monte Carlo modeling method of heat conduction solution.(in Russ.), Elektronnoe modelirovanije, 6 (1984), No.3, pp. 84–88.
FRANTA V., VAVROCH O.: Stochastic Exodus method in thermomechanics. (in Czech), Strojnický časopis (Mechanical Engineering), Vol. 38 (1987), No. 2, pp. 207–219.
FRANTA V., VAVROCH O.: Exodus simulation of indirect and optimization problems. In: Proceedings of the IASTED International Symposium Modelling, Identification and Control. Gridelwald, Switzerland, February 17–20, 1987, p. 425–428.
HAAS P. J.: Stochasic Petri nets. Modelling, stability, simulation. Springer 2006,
HAJI-SHEIKH A., SPARROW E. M.: The solution of heat conduction probleme by probability methods. Trans. of the ASME. J. of Heat Transfer,ser. C, 89 (1967), pp. 121–131.
HAMMOND B. L., LESTER W. A., REYNOLDS P. J.: Monte Carlo methods in ab initio quantum chemistry: Quantum Monte Carlo for molecules. World Scientific Publishing,1994.
HANDLER H.: Monte Carlo solution of partial differencial equations using a hybrid computer. IEEE Trans. of Electronic Computers, EC-16, 1967, p. 603-610.
HONNER M., FRANTA V.: PVD technology simulation system. Engineering Mechanics, Vol. 5, No. 1, pp. 21–30.
HONNER M., ČERVENÝ P., FRANTA V., ČEJKA F. : Heat transfer during HVOF deposition. Surface and Coating Technology, 1998, Vol. 106, pp. 94–99.
HONNER M., VESELÝ Z., ŠVANTER M.,: Exdodus stochastic method applica-tion in the optimal heating control system for continuous furnances. Scandinavian Journal of Metallurgy, Vol. 33, No. 6, 2004, pp. 328–337.
HOWELL J. R.: Application of Monte Carlo to heat transfer problems. Advances in Heat Transfer, 5 (1968), pp. 1–54.
JELEPOV B. S.: Monte Carlo methods solution of boundary problems. (in Russ) Nauka, Novosibirsk 1980, 176 p.
JERMAKOV S. M.: Monte-Carlo method and another questions. (in Russ.) Nauka, Moscou 1975, 472 p.
KULKARNI V. G.: Modeling, analysis, design and control of stochastic systems. Springer, 2000.
NELSON B. L.: Stochastic modelling. Analysis and Simulation. McGraw Hill, 2001.
PRIOR D.V.,BURNS P. J.: A paralel Monte Carlo model for radiative heat transfer. SIAM Meeting, Boston, MA, July 21–25, 1986.
RUBENSTEIN R. Y.: Simulation and the Monte Carlo method, Wiley, New York, 1981.
SABELFELD K. K.: Monte Carlo methods in boundary value problems. Springer, Berlin, 283 p.
ŠROUB J.: Stochastic methods in new physical technologies. Ph.D. Thesis University of West Bohemia, Plzen, 2010, 100 p
TICHONOV V. I., MIRONOV M. A.: Markov′s processes. (in Russ.), Moscow, Sovetskoe radio, 1977, 488 p.
WIKIPEDIA: Monte Carlo method. http://en.wikipedia.org/wiki/Monte Carlo method [cit. 2008-05-23].
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Kuneš, J. (2012). Stochastic Computer Models. In: Similarity and Modeling in Science and Engineering. Cambridge International Science Publishing Ltd. https://doi.org/10.1007/978-1-907343-78-0_9
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