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Volumn 73, Issue 248, 2004, Pages 1953-1966

A quasi-Monte Carlo scheme for Smoluchowski's coagulation equation

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EID: 5644288736     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-04-01627-8     Document Type: Article
Times cited : (20)

References (18)
  • 1
    • 0001796185 scopus 로고    scopus 로고
    • Deterministic and stochastic models for coalescence (aggregation and coagulation): A review of the mean-field theory for probabilists
    • MR 2001c:60153
    • D.J. Aldous, Deterministic and stochastic models for coalescence (aggregation and coagulation): a review of the mean-field theory for probabilists, Bernoulli 5 (1999), 3-48. MR 2001c:60153
    • (1999) Bernoulli , vol.5 , pp. 3-48
    • Aldous, D.J.1
  • 2
    • 0001774298 scopus 로고    scopus 로고
    • On a Monte Carlo scheme for Smoluchowski's coagulation equation
    • MR 99m:65010
    • H. Babovsky, On a Monte Carlo scheme for Smoluchowski's coagulation equation, Monte Carlo Methods Appl. 5 (1999), 1-18. MR 99m:65010
    • (1999) Monte Carlo Methods Appl. , vol.5 , pp. 1-18
    • Babovsky, H.1
  • 4
    • 0034964892 scopus 로고    scopus 로고
    • An efficient stochastic algorithm for studying coagulation dynamics and gelation phenomena
    • MR 2001e:82037
    • A. Eibeck and W. Wagner, An efficient stochastic algorithm for studying coagulation dynamics and gelation phenomena, SIAM J. Sci. Comput. 22 (2000), 802-821. MR 2001e:82037
    • (2000) SIAM J. Sci. Comput. , vol.22 , pp. 802-821
    • Eibeck, A.1    Wagner, W.2
  • 6
    • 0001013260 scopus 로고
    • Discrépance de suites associées à un système de numération (en dimension s)
    • MR 84m:10050
    • H. Faure, Discrépance de suites associées à un système de numération (en dimension s), Acta Arith. 41 (1982), 337-351. MR 84m:10050
    • (1982) Acta Arith. , vol.41 , pp. 337-351
    • Faure, H.1
  • 8
    • 0016559230 scopus 로고
    • An exact method for numerically simulating the stochastic coalescence process in a cloud
    • D.N. Gillespie, An exact method for numerically simulating the stochastic coalescence process in a cloud, J. Atmospheric Sci. 32 (1975), 1977-1989.
    • (1975) J. Atmospheric Sci. , vol.32 , pp. 1977-1989
    • Gillespie, D.N.1
  • 9
    • 0001597592 scopus 로고
    • Analytical solutions of Smoluschowski's coagulation equation
    • MR 93c:82068
    • O.J. Heilmann, Analytical solutions of Smoluschowski's coagulation equation, J. Phys. A 25 (1992), 3763-3771. MR 93c:82068
    • (1992) J. Phys. A , vol.25 , pp. 3763-3771
    • Heilmann, O.J.1
  • 10
    • 0030356701 scopus 로고    scopus 로고
    • Error bounds for quasi-Monte Carlo integration with nets
    • MR 96d:65012
    • C. Lécot, Error bounds for quasi-Monte Carlo integration with nets, Math. Comp. 65 (1996), 179-187. MR 96d:65012
    • (1996) Math. Comp. , vol.65 , pp. 179-187
    • Lécot, C.1
  • 11
    • 0000587013 scopus 로고
    • A direct simulation Monte Carlo method for cluster coagulation
    • K. Liffman, A direct simulation Monte Carlo method for cluster coagulation, J. Comput. Phys. 100 (1992), 116-127.
    • (1992) J. Comput. Phys. , vol.100 , pp. 116-127
    • Liffman, K.1
  • 12
    • 8344289793 scopus 로고
    • Point sets and sequences with small discrepancy
    • MR 89c:11120
    • H. Niederreiter, Point sets and sequences with small discrepancy, Monatsh. Math. 104 (1987), 273-337. MR 89c:11120
    • (1987) Monatsh. Math. , vol.104 , pp. 273-337
    • Niederreiter, H.1
  • 14
    • 0002166131 scopus 로고    scopus 로고
    • Stochastic algorithms for solving Smolouchovsky coagulation equation and applications to aerosol growth simulation
    • MR 97c:82042
    • K.K. Sabelfeld, S.V. Rogasinsky, A.A. Kolodko, and A.I. Levykin, Stochastic algorithms for solving Smolouchovsky coagulation equation and applications to aerosol growth simulation, Monte Carlo Methods Appl. 2 (1996), 41-87. MR 97c:82042
    • (1996) Monte Carlo Methods Appl. , vol.2 , pp. 41-87
    • Sabelfeld, K.K.1    Rogasinsky, S.V.2    Kolodko, A.A.3    Levykin, A.I.4
  • 15
    • 0000267310 scopus 로고
    • Versuch einer mathematischen Theorie der Koagulationskinetik kolloider Lösungen
    • M. v. Smoluchowski, Versuch einer mathematischen Theorie der Koagulationskinetik kolloider Lösungen, Z. Phys. Chem. 92 (1916), 129-168.
    • (1916) Z. Phys. Chem. , vol.92 , pp. 129-168
    • Smoluchowski, M.V.1
  • 16
    • 0001138912 scopus 로고
    • Drei Vorträge über Diffusion, Brownsche Molekularbewegung und Koagulation von Kolloidteilchen
    • M. v. Smoluchowski, Drei Vorträge über Diffusion, Brownsche Molekularbewegung und Koagulation von Kolloidteilchen, Phys. Z. 17 (1916), 557-571, 585-599.
    • (1916) Phys. Z. , vol.17 , pp. 557-571
    • Smoluchowski, M.V.1
  • 17
    • 0022129842 scopus 로고
    • Monte Carlo results for random coagulation
    • J.L. Spouge, Monte Carlo results for random coagulation, J. Colloid Interface Sci. 107 (1985), 38-43.
    • (1985) J. Colloid Interface Sci. , vol.107 , pp. 38-43
    • Spouge, J.L.1
  • 18
    • 0002548979 scopus 로고
    • Some applications of multidimensional integration by parts
    • MR 38:4034
    • S.K. Zaremba, Some applications of multidimensional integration by parts, Ann. Polon. Math. 21 (1968), 85-96. MR 38:4034
    • (1968) Ann. Polon. Math. , vol.21 , pp. 85-96
    • Zaremba, S.K.1


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