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Volumn 68, Issue 1, 2005, Pages 23-41

Quasi-Monte Carlo algorithms for diffusion equations in high dimensions

Author keywords

Diffusion equation; MC; QMC

Indexed keywords

COMPUTER SIMULATION; MATHEMATICAL MODELS; MONTE CARLO METHODS; NUMERICAL ANALYSIS; POLYMERS; PROBLEM SOLVING;

EID: 12444310208     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2004.09.003     Document Type: Article
Times cited : (14)

References (15)
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    • 12444298998 scopus 로고    scopus 로고
    • A QMC approach for high dimensional Fokker-Planck equations modelling polymeric liquids
    • G. Venkiteswaran, M. Junk, A QMC approach for high dimensional Fokker-Planck equations modelling polymeric liquids, Math. Comput. Simul. 68 (2005) 43-56.
    • (2005) Math. Comput. Simul. , vol.68 , pp. 43-56
    • Venkiteswaran, G.1    Junk, M.2
  • 2
    • 0001414895 scopus 로고    scopus 로고
    • Quasi-Monte Carlo simulation of diffusion
    • C. Lécot, and F.E. Khettabi Quasi-Monte Carlo simulation of diffusion J. Complexity 15 1999 342 359
    • (1999) J. Complexity , vol.15 , pp. 342-359
    • Lécot, C.1    Khettabi, F.E.2
  • 3
    • 0009273790 scopus 로고    scopus 로고
    • The curse of dimension and a universal method for numerical integration
    • G. Nüneberger J. Schmidt G. Walz
    • E. Novak, and K. Ritter The curse of dimension and a universal method for numerical integration G. Nüneberger J. Schmidt G. Walz Multivariate Approximation and Splines, ISNM 1997 177 188
    • (1997) Multivariate Approximation and Splines, ISNM , pp. 177-188
    • Novak, E.1    Ritter, K.2
  • 5
    • 0242440688 scopus 로고    scopus 로고
    • Numerical integration using sparse grids
    • T. Gerstner, and M. Griebel Numerical integration using sparse grids Numerical Algorithms 18 1998 209 232
    • (1998) Numerical Algorithms , vol.18 , pp. 209-232
    • Gerstner, T.1    Griebel, M.2
  • 6
    • 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. Num. Anal. 30 6 1993 1558 1573
    • (1993) Siam J. Num. Anal. , vol.30 , Issue.6 , pp. 1558-1573
    • Morokoff, W.J.1    Caflisch, R.E.2
  • 7
    • 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 237 249
    • (1989) J. Comput. Appl. Math. , vol.25 , pp. 237-249
    • Lécot, C.1
  • 11
    • 0001013260 scopus 로고
    • Discrépance de suites associées à un systéme de numération (en dimension s)
    • H. Faure Discrépance de suites associées à un systéme de numération (en dimension s) Acta Arithematics 42 1982 337 351
    • (1982) Acta Arithematics , vol.42 , pp. 337-351
    • Faure, H.1
  • 14
    • 49949136136 scopus 로고
    • On the distribution of points in a cube and the approximate evaluation of integrals
    • I.M. Sobol, On the distribution of points in a cube and the approximate evaluation of integrals, USSR Comput. Math. Math. Phys. 7 (1967) 86-112.
    • (1967) USSR Comput. Math. Math. Phys. , vol.7 , pp. 86-112
    • Sobol, I.M.1
  • 15
    • 0004286902 scopus 로고
    • Addison-Wesley Reading, Massachusetts
    • R. Sedgewick Algorithms in C 1990 Addison-Wesley Reading, Massachusetts
    • (1990) Algorithms in C
    • Sedgewick, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.