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Monte Carlo simulation of the coagulation processes governed by Smoluchowski equation with random coefficients

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  • Sabelfeld K.K.
  • Kolodko A.A.

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  • Sabelfeld K.K. & Kolodko A.A., 1997. "Monte Carlo simulation of the coagulation processes governed by Smoluchowski equation with random coefficients," Monte Carlo Methods and Applications, De Gruyter, vol. 3(4), pages 275-312, December.
    • Handle: RePEc:bpj:mcmeap:v:3:y:1997:i:4:p:275-312:n:3
    DOI: 10.1515/mcma.1997.3.4.275
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    References listed on IDEAS

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    1. Sabelfeld K.K. & Rogasinsky S.V. & Kolodko A.A. & Levykin A.I., 1996. "Stochastic algorithms for solving Smolouchovsky coagulation equation and applications to aerosol growth simulation," Monte Carlo Methods and Applications, De Gruyter, vol. 2(1), pages 41-88, December.
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    Cited by:

    1. Kolodko A. A. & Sabelfeld K. K., 2001. "Stochastic Lagrangian model for spatially inhomogeneous Smoluchowski equation governing coagulating and diffusing particles," Monte Carlo Methods and Applications, De Gruyter, vol. 7(3-4), pages 223-228, December.
    2. Sabelfeld K. & Kurbanmuradov O., 2000. "Coagulation of aerosol particles in intermittent turbulent flows," Monte Carlo Methods and Applications, De Gruyter, vol. 6(3), pages 211-254, December.
    3. Sabelfeld Karl K. & Eremeev Georgy, 2018. "A hybrid kinetic-thermodynamic Monte Carlo model for simulation of homogeneous burst nucleation," Monte Carlo Methods and Applications, De Gruyter, vol. 24(3), pages 193-202, September.
    4. M. Ermakov Sergej & Wagner Wolfgang, 2002. "Monte Carlo difference schemes for the wave equation," Monte Carlo Methods and Applications, De Gruyter, vol. 8(1), pages 1-30, December.
    5. Eibeck Andreas & Wagner Wolfgang, 2001. "Stochastic algorithms for studying coagulation dynamics and gelation phenomena," Monte Carlo Methods and Applications, De Gruyter, vol. 7(1-2), pages 157-166, December.

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    1. Kolodko A. A. & Sabelfeld K. K., 2001. "Stochastic Lagrangian model for spatially inhomogeneous Smoluchowski equation governing coagulating and diffusing particles," Monte Carlo Methods and Applications, De Gruyter, vol. 7(3-4), pages 223-228, December.
    2. Eibeck Andreas & Wagner Wolfgang, 2001. "Stochastic algorithms for studying coagulation dynamics and gelation phenomena," Monte Carlo Methods and Applications, De Gruyter, vol. 7(1-2), pages 157-166, December.
    3. Sabelfeld Karl K. & Eremeev Georgy, 2018. "A hybrid kinetic-thermodynamic Monte Carlo model for simulation of homogeneous burst nucleation," Monte Carlo Methods and Applications, De Gruyter, vol. 24(3), pages 193-202, September.
    4. Kolodko, A. & Sabelfeld, K. & Wagner, W., 1999. "A stochastic method for solving Smoluchowski's coagulation equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 49(1), pages 57-79.
    5. Kolodko Anastasya A. & Wagner Wolfgang, 1997. "Convergence of a Nanbu type method for the Smoluchowski equation," Monte Carlo Methods and Applications, De Gruyter, vol. 3(4), pages 255-274, December.
    6. Sabelfeld K. & Levykin A. & Privalova T., 2007. "A Fast Stratified Sampling Simulation of Coagulation Processes," Monte Carlo Methods and Applications, De Gruyter, vol. 13(1), pages 71-88, April.
    7. Sabelfeld Karl K. & Levykin Alexander I. & Kireeva Anastasiya E., 2015. "Stochastic simulation of fluctuation-induced reaction-diffusion kinetics governed by Smoluchowski equations," Monte Carlo Methods and Applications, De Gruyter, vol. 21(1), pages 33-48, March.
    8. Wagner, Wolfgang, 2003. "Stochastic, analytic and numerical aspects of coagulation processes," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 62(3), pages 265-275.
    9. Lécot C. & Tarhini A., 2008. "A quasi-stochastic simulation of the general dynamics equation for aerosols," Monte Carlo Methods and Applications, De Gruyter, vol. 13(5-6), pages 369-388, January.
    10. Sabelfeld, K.K., 1998. "Stochastic models for coagulation of aerosol particles in intermittent turbulent flows," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 47(2), pages 85-101.
    11. Sabelfeld, Karl K., 2018. "A random walk on spheres based kinetic Monte Carlo method for simulation of the fluctuation-limited bimolecular reactions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 143(C), pages 46-56.
    12. Sabelfeld, Karl & Kolodko, Anastasia, 2003. "Stochastic Lagrangian models and algorithms for spatially inhomogeneous Smoluchowski equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 61(2), pages 115-137.
    13. Kolodko A. & Sabelfeld K., 2003. "Stochastic particle methods for Smoluchowski coagulation equation: variance reduction and error estimations," Monte Carlo Methods and Applications, De Gruyter, vol. 9(4), pages 315-339, December.

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