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Volumn 24, Issue 5, 2003, Pages 1589-1609

Convergence of the stochastic weighted particle method for the Boltzmann equation

Author keywords

Boltzmann equation; Convergence; Numerical experiment; Stochastic weighted particle method; Variance reduction

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BOUNDARY CONDITIONS; COMPUTER SIMULATION; HEURISTIC METHODS; MARKOV PROCESSES; MONTE CARLO METHODS; PARTIAL DIFFERENTIAL EQUATIONS; VECTORS; VELOCITY;

EID: 0141906263     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827502406014     Document Type: Article
Times cited : (6)

References (11)
  • 1
    • 0039354961 scopus 로고
    • On the Boltzmann equation. Part I. Existence
    • L. Arkeryd, On the Boltzmann equation. Part I. Existence, Arch. Rational Mech. Anal., 45 (1972), pp. 1-16.
    • (1972) Arch. Rational Mech. Anal. , vol.45 , pp. 1-16
    • Arkeryd, L.1
  • 5
    • 0040831290 scopus 로고    scopus 로고
    • Stochastic particle approximations for generalized Boltzmann models and convergence estimates
    • C. Graham and S. Méléard, Stochastic particle approximations for generalized Boltzmann models and convergence estimates, Ann. Probab., 25 (1997), pp. 115-132.
    • (1997) Ann. Probab. , vol.25 , pp. 115-132
    • Graham, C.1    Méléard, S.2
  • 6
    • 0000608264 scopus 로고    scopus 로고
    • Reduction of the number of particles in the stochastic weighted particle method for the Boltzmann equation
    • S. Rjasanow, T. Schreiber, and W. Wagner, Reduction of the number of particles in the stochastic weighted particle method for the Boltzmann equation, J. Comput. Phys., 145 (1998), pp. 382-405.
    • (1998) J. Comput. Phys. , vol.145 , pp. 382-405
    • Rjasanow, S.1    Schreiber, T.2    Wagner, W.3
  • 7
    • 0030584543 scopus 로고    scopus 로고
    • A stochastic weighted particle method for the Boltzmann equation
    • S. Rjasanov and W. Wagner, A stochastic weighted particle method for the Boltzmann equation, J. Comput. Phys., 124 (1996), pp. 243-253.
    • (1996) J. Comput. Phys. , vol.124 , pp. 243-253
    • Rjasanov, S.1    Wagner, W.2
  • 8
    • 0031621468 scopus 로고    scopus 로고
    • A generalized collision mechanism for stochastic particle schemes approximating Boltzmann-type equations
    • S. Rjasanow and W. Wagner, A generalized collision mechanism for stochastic particle schemes approximating Boltzmann-type equations, Comput. Math. Appl., 35 (1998), pp. 165-178.
    • (1998) Comput. Math. Appl. , vol.35 , pp. 165-178
    • Rjasanow, S.1    Wagner, W.2
  • 9
    • 0035831211 scopus 로고    scopus 로고
    • Simulation of rare events by the stochastic weighted particle method for the Boltzmann equation
    • S. Rjasanow and W. Wagner, Simulation of rare events by the stochastic weighted particle method for the Boltzmann equation, Math. Comput. Modelling, 33 (2001), pp. 907-926.
    • (2001) Math. Comput. Modelling , vol.33 , pp. 907-926
    • Rjasanow, S.1    Wagner, W.2
  • 10
    • 34249834360 scopus 로고
    • A convergence proof for Bird's direct simulation Monte Carlo method for the Boltzmann equation
    • W. Wagner, A convergence proof for Bird's direct simulation Monte Carlo method for the Boltzmann equation, J. Statist. Phys., 66 (1992), pp. 1011-1044.
    • (1992) J. Statist. Phys. , vol.66 , pp. 1011-1044
    • Wagner, W.1
  • 11
    • 84921186270 scopus 로고
    • Stochastic systems of particles with weights and approximation of the Boltzmann equation. The Markov process in the spatially homogeneous case
    • W. Wagner, Stochastic systems of particles with weights and approximation of the Boltzmann equation. The Markov process in the spatially homogeneous case, Stochastic Anal. Appl., 12 (1994), pp. 639-659.
    • (1994) Stochastic Anal. Appl. , vol.12 , pp. 639-659
    • Wagner, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.