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Volumn 2179, Issue , 2001, Pages 158-165

A quasi-monte carlo method for integration with improved convergence

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS;

EID: 84944886549     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-45346-6_15     Document Type: Conference Paper
Times cited : (19)

References (9)
  • 1
    • 85011514513 scopus 로고    scopus 로고
    • Monte Carlo and quasi-Monte Carlo methods
    • R. E. Caflisch. Monte Carlo and quasi-Monte Carlo methods, Acta Numerica, 7, 1–49, 1998.
    • (1998) Acta Numerica , vol.7 , pp. 1-49
    • Caflisch, R.E.1
  • 2
    • 0001013260 scopus 로고
    • Discrepance de suites associees a un systeme de numeration (En dimension s)
    • H. Faure. Discrepance de suites associees a un systeme de numeration (en dimension s), Acta Arithmetica, XLI, 337–351, 1992.
    • (1992) Acta Arithmetica , vol.12 , pp. 337-351
    • Faure, H.1
  • 3
    • 0002020770 scopus 로고
    • On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals
    • J. H. Halton. On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals, Numer. Math., 2, 84–90, 1960.
    • (1960) Numer. Math , vol.2 , pp. 84-90
    • Halton, J.H.1
  • 4
    • 0004117047 scopus 로고    scopus 로고
    • Error analysis of an adaptive Monte Carlo method for numerical integration
    • A. Karaivanova and I. Dimov. Error analysis of an adaptive Monte Carlo method for numerical integration, Mathematics and Computers in Simulation, 47, 201–213, 1998.
    • (1998) Mathematics and Computers in Simulation , vol.47 , pp. 201-213
    • Karaivanova, A.1    Dimov, I.2
  • 6
    • 0002622180 scopus 로고    scopus 로고
    • Smoothness and dimension reduction in Quasi- Monte Carlo methods
    • B. Moskowitz and R. E. Caflisch. Smoothness and dimension reduction in Quasi- Monte Carlo methods, J. Math. Comput. Modeling, 23, 37–54, 1996.
    • (1996) J. Math. Comput. Modeling , vol.23 , pp. 37-54
    • Moskowitz, B.1    Caflisch, R.E.2
  • 8
    • 0032256235 scopus 로고    scopus 로고
    • Monte Carlo extension of Quasi-Monte Carlo
    • D. J. Medieiros, E. F. Watson, M. Manivannan, and J. Carson, (eds.)
    • A. Owen. Monte Carlo extension of Quasi-Monte Carlo, in D. J. Medieiros, E. F. Watson, M. Manivannan, and J. Carson, (eds.), Proceedings of WSC’98, 571–577, 1998.
    • (1998) Proceedings of WSC’98 , pp. 571-577
    • Owen, A.1
  • 9
    • 0001352321 scopus 로고
    • The distribution of points in a cube and approximate evaluation of integrals
    • (in Russian)
    • I. M. Sobol. The distribution of points in a cube and approximate evaluation of integrals, Zh. Vychisl. Mat. Mat. Fiz., 7, 784–802, 1967. (in Russian).
    • (1967) Zh. Vychisl. Mat. Mat. Fiz , vol.7 , pp. 784-802
    • Sobol, I.M.1


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