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Volumn 23, Issue 8-9, 1996, Pages 55-67

Quasi-Monte Carlo methods for the numerical integration of multivariate Walsh series

Author keywords

Low discrepancy point sets; Numerical integration; Quasi Monte Carlo methods; Walsh series

Indexed keywords


EID: 0038624651     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/0895-7177(96)00039-8     Document Type: Article
Times cited : (9)

References (16)
  • 1
    • 84968517847 scopus 로고
    • On the numerical integration of Walsh series by number-theoretic methods
    • G. Larcher and C. Traunfellner, On the numerical integration of Walsh series by number-theoretic methods, Math. Comp. 63, 277-291 (1994).
    • (1994) Math. Comp. , vol.63 , pp. 277-291
    • Larcher, G.1    Traunfellner, C.2
  • 2
    • 84968512988 scopus 로고
    • Representation of functions as Walsh series to different bases and an application to the numerical integration of high-dimensional Walsh series
    • G. Larcher, W.Ch. Schmid and R. Wolf, Representation of functions as Walsh series to different bases and an application to the numerical integration of high-dimensional Walsh series, Math. Comp. 63, 701-716 (1994).
    • (1994) Math. Comp. , vol.63 , pp. 701-716
    • Larcher, G.1    Schmid, W.Ch.2    Wolf, R.3
  • 3
    • 0011507182 scopus 로고
    • A class of low-discrepancy point-sets and its application to numerical integration by number-theoretical methods
    • Österreichisch-Ungarisch-Slowakisches Kolloquium über Zahlentheorie, (Edited by F. Halter-Koch and R. Tichy), Karl-Franzens-Univ. Graz, Graz
    • G. Larcher, A class of low-discrepancy point-sets and its application to numerical integration by number-theoretical methods, In Österreichisch-Ungarisch-Slowakisches Kolloquium über Zahlentheorie, (Edited by F. Halter-Koch and R. Tichy), Volume 318 of Grazer Math. Ber., pp. 69-80, Karl-Franzens-Univ. Graz, Graz, (1993).
    • (1993) Grazer Math. Ber. , vol.318 , pp. 69-80
    • Larcher, G.1
  • 4
    • 0942295842 scopus 로고
    • On the numerical integration of high-dimensional Walsh series by quasi-Monte Carlo methods
    • Paris
    • G. Larcher and W.Ch. Schmid, On the numerical integration of high-dimensional Walsh series by quasi-Monte Carlo methods, In Colloque Probabilites Numerique, Paris, 1993; Math. Comput. Simulation, Volume 38, pp. 127-134, Elsevier, North-Holland, (1995).
    • (1993) Colloque Probabilites Numerique
    • Larcher, G.1    Schmid, W.Ch.2
  • 5
    • 0029354042 scopus 로고
    • Elsevier, North-Holland
    • G. Larcher and W.Ch. Schmid, On the numerical integration of high-dimensional Walsh series by quasi-Monte Carlo methods, In Colloque Probabilites Numerique, Paris, 1993; Math. Comput. Simulation, Volume 38, pp. 127-134, Elsevier, North-Holland, (1995).
    • (1995) Math. Comput. Simulation , vol.38 , pp. 127-134
  • 7
    • 1542638178 scopus 로고
    • Hyperbolic filtering of Walsh series; a new method for data compression
    • Research Institute for Software Technology, University of Salzburg
    • P. Zinterhof and P. Zinterhof, Jr., Hyperbolic filtering of Walsh series; a new method for data compression, Technical Report 03, Research Institute for Software Technology, University of Salzburg, (1994).
    • (1994) Technical Report 03
    • Zinterhof, P.1    Zinterhof Jr., P.2
  • 8
    • 8344289793 scopus 로고
    • Point sets and sequences with small discrepancy
    • H. Niederreiter, Point sets and sequences with small discrepancy, Monatsh. Math. 104, 273-337 (1987).
    • (1987) Monatsh. Math. , vol.104 , pp. 273-337
    • Niederreiter, H.1
  • 9
    • 0002071152 scopus 로고
    • Low-discrepancy and low-dispersion sequences
    • H. Niederreiter, Low-discrepancy and low-dispersion sequences, J. Number Theory, 30, 51-70 (1988).
    • (1988) J. Number Theory , vol.30 , pp. 51-70
    • Niederreiter, H.1
  • 10
    • 0000951059 scopus 로고
    • Low-discrepancy point sets obtained by digital constructions over finite fields
    • H. Niederreiter, Low-discrepancy point sets obtained by digital constructions over finite fields, Czechoslovak Math. J. 42, 143-166 (1992).
    • (1992) Czechoslovak Math. J. , vol.42 , pp. 143-166
    • Niederreiter, H.1
  • 12
    • 38249009106 scopus 로고
    • Orthogonal arrays and other combinatorial aspects in the theory of uniform point distributions in unit cubes
    • H. Niederreiter, Orthogonal arrays and other combinatorial aspects in the theory of uniform point distributions in unit cubes, Discrete Math. 106/107, 361-367 (1992).
    • (1992) Discrete Math. , vol.106-107 , pp. 361-367
    • Niederreiter, H.1
  • 13
    • 0345216625 scopus 로고
    • Nets obtained from rational functions over finite fields
    • G. Larcher, Nets obtained from rational functions over finite fields, Acta Arith. 63, 1-13 (1993).
    • (1993) Acta Arith. , vol.63 , pp. 1-13
    • Larcher, G.1
  • 14


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.