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Volumn 139, Issue 4, 2003, Pages 295-307

The Existence of Good Extensible Polynomial Lattice Rules

Author keywords

Digital nets; Lattice rules; Polynomial lattice rules; Quasi Monte Carlo methods

Indexed keywords


EID: 0345492044     PISSN: 00269255     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00605-002-0530-z     Document Type: Article
Times cited : (19)

References (19)
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    • Hansen T, Mullen GL, Niederreiter H (1993) Good parameters for a class of node sets in quasi-Monte Carlo integration. Math Comp 61: 225-234
    • (1993) Math Comp , vol.61 , pp. 225-234
    • Hansen, T.1    Mullen, G.L.2    Niederreiter, H.3
  • 3
    • 0344785822 scopus 로고    scopus 로고
    • The existence of good extensible rank-1 lattices
    • to appear
    • Hickernell FJ, Niederreiter H (2002) The existence of good extensible rank-1 lattices. J Complexity (to appear)
    • (2002) J Complexity
    • Hickernell, F.J.1    Niederreiter, H.2
  • 4
    • 0345216625 scopus 로고
    • Nets obtained from rational functions over finite fields
    • Larcher G (1993) Nets obtained from rational functions over finite fields. Acta Arith 63: 1-13
    • (1993) Acta Arith , vol.63 , pp. 1-13
    • Larcher, G.1
  • 5
    • 0001714473 scopus 로고    scopus 로고
    • Optimal polynomials for (t, m, s)-nets and numerical integration of multivariate Walsh series
    • Larcher G, Lauß A, Niederreiter H, Schmid WCh (1996) Optimal polynomials for (t, m, s)-nets and numerical integration of multivariate Walsh series. SIAM J Numer Analysis 33: 2239-2253
    • (1996) SIAM J Numer Analysis , vol.33 , pp. 2239-2253
    • Larcher, G.1    Lauß, A.2    Niederreiter, H.3    Schmid, W.Ch.4
  • 6
    • 84966251332 scopus 로고
    • Generalized (t, s)-sequences, Kronecker-type sequences and diophantine approximations of formal Laurent series
    • Larcher G, Niederreiter H (1995) Generalized (t, s)-sequences, Kronecker-type sequences, and diophantine approximations of formal Laurent series. Trans Amer Math Soc 347: 2051-2073
    • (1995) Trans Amer Math Soc , vol.347 , pp. 2051-2073
    • Larcher, G.1    Niederreiter, H.2
  • 8
    • 0344353937 scopus 로고    scopus 로고
    • Randomized polynomial lattice rules for multivariate integration and simulation
    • to appear
    • Lemieux C, L'Ecuyer P (2001) Randomized polynomial lattice rules for multivariate integration and simulation. SIAM J Sci Comput (to appear)
    • (2001) SIAM J Sci Comput
    • Lemieux, C.1    L'Ecuyer, P.2
  • 10
    • 0038624705 scopus 로고
    • Existence of good lattice points in the sense of Hlawka
    • Niederreiter H (1978) Existence of good lattice points in the sense of Hlawka. Monatsh Math 86: 203-219
    • (1978) Monatsh Math , vol.86 , pp. 203-219
    • Niederreiter, H.1
  • 11
    • 0007321817 scopus 로고
    • Low-discrepancy point sets
    • Niederreiter H (1986) Low-discrepancy point sets. Monatsh Math 102: 155-167
    • (1986) Monatsh Math , vol.102 , pp. 155-167
    • Niederreiter, H.1
  • 12
    • 0000951059 scopus 로고
    • Low-discrepancy point sets obtained by digital constructions over finite fields
    • Niederreiter H (1992) Low-discrepancy point sets obtained by digital constructions over finite fields. Czechoslovak Math J 42: 143-166
    • (1992) Czechoslovak Math J , vol.42 , pp. 143-166
    • Niederreiter, H.1
  • 15
    • 38249004285 scopus 로고
    • Improved error bounds for lattice rules
    • Niederreiter H (1993) Improved error bounds for lattice rules. J Complexity 9: 60-75
    • (1993) J Complexity , vol.9 , pp. 60-75
    • Niederreiter, H.1
  • 16
    • 0035704063 scopus 로고    scopus 로고
    • Calculation of the quality parameter of digital nets and application to their construction
    • Pirsic G, Schmid WCh (2001) Calculation of the quality parameter of digital nets and application to their construction. J Complexity 17: 827-839
    • (2001) J Complexity , vol.17 , pp. 827-839
    • Pirsic, G.1    Schmid, W.Ch.2
  • 17
    • 0003220082 scopus 로고    scopus 로고
    • Improvements and extensions of the "Salzburg tables" by using irreducible polynomials
    • Niederreiter H, Spanier J (eds). Berlin: Springer
    • Schmid WC (2000) Improvements and extensions of the "Salzburg tables" by using irreducible polynomials. In: Niederreiter H, Spanier J (eds) Monte Carlo and Quasi-Monte Carlo Methods 1998, pp 436-447. Berlin: Springer
    • (2000) Monte Carlo and Quasi-Monte Carlo Methods 1998 , pp. 436-447
    • Schmid, W.C.1
  • 19


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.