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Volumn 35, Issue 1, 1998, Pages 51-70

A quasi-monte carlo scheme using nets for a linear boltzmann equation

Author keywords

(t, m, s) nets; Linear Boltzmann equation; Quasi Monte Carlo method

Indexed keywords


EID: 0008023920     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142995290051     Document Type: Article
Times cited : (18)

References (21)
  • 3
    • 0006365644 scopus 로고
    • The method of fundamental solutions and the quasi-Monte Carlo method for Poisson's equation
    • H. Niederreiter and P.J.-S. Shiue, eds., Springer-Verlag, New York
    • C. S. CHEN, The method of fundamental solutions and the quasi-Monte Carlo method for Poisson's equation, in Proc. 1st Internat. Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, H. Niederreiter and P.J.-S. Shiue, eds., Springer-Verlag, New York, 1995, pp. 158-167.
    • (1995) Proc. 1st Internat. Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing , pp. 158-167
    • Chen, C.S.1
  • 4
    • 0001013260 scopus 로고
    • Discrépance de suites associées à un système de numération (en dimension s)
    • H. FAURE, Discrépance de suites associées à un système de numération (en dimension s), Acta Arith., 41 (1982), pp. 337-351.
    • (1982) Acta Arith. , vol.41 , pp. 337-351
    • Faure, H.1
  • 5
    • 0003384096 scopus 로고
    • A quasi-Monte Carlo algorithm for the global illumination problem, in the radiosity setting
    • H. Niederreiter and P.J.-S. Shiue, eds., Springer-Verlag, New York
    • A. KELLER, A quasi-Monte Carlo algorithm for the global illumination problem, in the radiosity setting, in Proc. 1st Internat. Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, H. Niederreiter and P.J.-S. Shiue, eds., Springer-Verlag, New York, 1995, pp. 239-251.
    • (1995) Proc. 1st Internat. Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing , pp. 239-251
    • Keller, A.1
  • 8
    • 0008071521 scopus 로고
    • A direct simulation Monte Carlo scheme and uniformly distributed sequences for solving the Boltzmann equation
    • C. LÉCOT, A direct simulation Monte Carlo scheme and uniformly distributed sequences for solving the Boltzmann equation, Computing, 41 (1989), pp. 41-57.
    • (1989) Computing , vol.41 , pp. 41-57
    • Lécot, C.1
  • 9
    • 0024607713 scopus 로고
    • Low discrepancy sequences for solving the Boltzmann equation
    • C. LÉCOT, Low discrepancy sequences for solving the Boltzmann equation, J. Comput. Appl. Math., 25 (1989), pp. 237-249.
    • (1989) J. Comput. Appl. Math. , vol.25 , pp. 237-249
    • Lécot, C.1
  • 10
    • 84966239259 scopus 로고
    • A quasi-Monte Carlo method for the Boltzmann equation
    • C. LÉCOT, A quasi-Monte Carlo method for the Boltzmann equation, Math. Comp., 56 (1991), pp. 621-644.
    • (1991) Math. Comp. , vol.56 , pp. 621-644
    • Lécot, C.1
  • 11
    • 0027805257 scopus 로고
    • A quasi-Monte Carlo approach to particle simulation of the heat equation
    • W. J. MOROKOFF AND R. E. CAFLISCH, A quasi-Monte Carlo approach to particle simulation of the heat equation, SIAM J. Numer. Anal., 30 (1993), pp. 1558-1573.
    • (1993) SIAM J. Numer. Anal. , vol.30 , pp. 1558-1573
    • Morokoff, W.J.1    Caflisch, R.E.2
  • 12
    • 0001243365 scopus 로고
    • Quasi-Monte Carlo integration
    • W. J. MOROKOFF AND R. E. CAFLISCH, Quasi-Monte Carlo integration, J. Comput. Phys., 122 (1995), pp. 218-230.
    • (1995) J. Comput. Phys. , vol.122 , pp. 218-230
    • Morokoff, W.J.1    Caflisch, R.E.2
  • 14
    • 4243366477 scopus 로고
    • Direct simulation scheme derived from the Boltzmann equation, I. Monocomponent gases
    • K. NANBU, Direct simulation scheme derived from the Boltzmann equation, I. Monocomponent gases, J. Phys. Soc. Japan, 49 (1980), pp. 2042-2049.
    • (1980) J. Phys. Soc. Japan , vol.49 , pp. 2042-2049
    • Nanbu, K.1
  • 15
    • 0020797465 scopus 로고
    • Stochastic solution method of the master equation and the model Boltzmann equation
    • K. NANBU, Stochastic solution method of the master equation and the model Boltzmann equation, J. Phys. Soc. Japan, 52 (1983), pp. 2654-2658.
    • (1983) J. Phys. Soc. Japan , vol.52 , pp. 2654-2658
    • Nanbu, K.1
  • 16
    • 0000997571 scopus 로고
    • Quasi-Monte Carlo methods and pseudo-random numbers
    • H. NIEDERREITER, Quasi-Monte Carlo methods and pseudo-random numbers, Bull. Amer. Math. Soc., 84 (1978), pp. 957-1041.
    • (1978) Bull. Amer. Math. Soc. , vol.84 , pp. 957-1041
    • Niederreiter, H.1
  • 17
    • 8344289793 scopus 로고
    • Point sets and sequences with small discrepancy
    • H. NIEDERREITER, Point sets and sequences with small discrepancy, Monatsh. Math., 104 (1987), pp. 273-337.
    • (1987) Monatsh. Math. , vol.104 , pp. 273-337
    • Niederreiter, H.1
  • 19
    • 0039264952 scopus 로고
    • A comparative study of pseudo and quasi random sequences for the solution of integral equations
    • P. K. SARKAR AND M. A. PRASAD, A comparative study of pseudo and quasi random sequences for the solution of integral equations, J. Comput. Phys., 68 (1987), pp. 66-88.
    • (1987) J. Comput. Phys. , vol.68 , pp. 66-88
    • Sarkar, P.K.1    Prasad, M.A.2
  • 21
    • 0002548979 scopus 로고
    • Some applications of multidimensional integration by parts
    • S. K. ZAREMBA, Some applications of multidimensional integration by parts, Ann. Polon. Math., 21 (1968), pp. 85-96.
    • (1968) Ann. Polon. Math. , vol.21 , pp. 85-96
    • Zaremba, S.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.