A Monte Carlo approach to the Smoluchowski equations

Monte Carlo Methods and Applications

Volumn 3, Issue 4, 1997, Pages 313-326

  Guiaş, Flavius ^a  

^a UNIVERSITY OF HEIDELBERG   (Germany)

Author keywords

Infinite Systems of ODE's; Markov Jump Processes; Monte Carlo Methods

Indexed keywords

EID: 0000552880     PISSN: 09299629     EISSN: 15693961     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

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3. P. Donnelly, S. Simons. On the stochastic approach to cluster size distribution during particle coagulation. J. Phys. A: Math. Gen. (1993), 26, 2755-2767.
4. S. Ethier, T. G. Kurtz. Markov Processes: Characterization and Convergence. Wiley, 1986
5. T. G. Kurtz. Limit theorems for sequences of Markov jump processes approximating ordinary differential processes. J. Appl. Prob. (1971) 8, 344-356.
6. R. Lang, N. Xanh. Smoluchowski's theory of coagulation in colloids holds rigorously in the Boltzmann-Grad limit. Z. Wahrscheinlichkeitstheorie verw. Geb. (1980) 54, 227-280.
7. Z. A. Melzak. A scalar transport equation. Trans. Am. Math. Soc. (1957) 85, 547-560.
8. J. L. Spouge. An existence theorem for the discrete coagulation- fragmentation equations. Math. Proc. Camb. Phil. Soc. (1984) 96, 351-357.
9. I. W. Stewart. On the coagulation-fragmentation equation. Journal of Appl. Math. and Physics (ZAMP) (1990) 41, 917-923.
10. W. Wagner. A convergence proof for Bird's direct simulation Monte Carlo method for the Boltzmann equation. J. Stat. Phys. (1992) 66 Nos. 3/4, 1011-1044.