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On Some Weight Monte Carlo Methods for Investigating the Asymptotical Behavior of Solution of the Transfer Equation

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Numerical Methods and Applications (NMA 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2542))

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Abstract

In this paper we consider local Monte Carlo estimates for solving transfer equation with a nonstationary particle source. The comparison of local and double-local estimates is presented.

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References

  1. Marchuk, G.I., Mikhailov, G.A., Nazaraliev, M.A., et al.: The Monte Carlo Method in Atmospheric Optics. Springer, Berlin Heidelberg (1980)

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  2. Lotova, G.Z., Mikhailov, G.A.: New Monte Carlo methods for the solution of nonstationary problems in the radiation transfer theory. Russ. J. Numer. Anal. Math. Modelling, Vol. 15 3-4 (2000) 285–295

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  3. Mikhailov, G.A., Voytishek, A.V.: Numerical constructing of special non-Gaussian fields in solving problems of the radiation transfer theory for stochastically inhomogeneous media. Russ. J. Numer. Anal. Math. Modelling, Vol.10 3 (1995) 213–232

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© 2003 Springer-Verlag Berlin Heidelberg

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Lotova, G.Z. (2003). On Some Weight Monte Carlo Methods for Investigating the Asymptotical Behavior of Solution of the Transfer Equation. In: Dimov, I., Lirkov, I., Margenov, S., Zlatev, Z. (eds) Numerical Methods and Applications. NMA 2002. Lecture Notes in Computer Science, vol 2542. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36487-0_12

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  • DOI: https://doi.org/10.1007/3-540-36487-0_12

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00608-4

  • Online ISBN: 978-3-540-36487-0

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