메뉴 건너뛰기




Volumn 62, Issue 3-6, 2003, Pages 509-517

A comparison between (quasi-)Monte Carlo and cubature rule based methods for solving high-dimensional integration problems

Author keywords

Cubature rule; Monte Carlo; Numerical integration; Quasi Monte Carlo

Indexed keywords

ADAPTIVE ALGORITHMS; APPROXIMATION THEORY; INTERPOLATION; PROBLEM SOLVING;

EID: 0037416995     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4754(02)00250-1     Document Type: Conference Paper
Times cited : (37)

References (13)
  • 1
    • 0031152363 scopus 로고    scopus 로고
    • Computational investigations of low-discrepancy sequences
    • Kocis L., Whiten W.J., Computational investigations of low-discrepancy sequences. ACM Trans. Math. Software. 23(2):1997;266-294.
    • (1997) ACM Trans. Math. Software , vol.23 , Issue.2 , pp. 266-294
    • Kocis, L.1    Whiten, W.J.2
  • 2
    • 23044527361 scopus 로고    scopus 로고
    • Parallel high-dimensional integration: Quasi-Monte Carlo versus adaptive cubature rules, in: V.N. Alexandrov, J.J. Dongarra, B.A. Juliano, R.S. Renner, C.J.K. Tan (Eds.), Computational Science - ICCS, Springer, Berlin
    • R. Schürer, Parallel high-dimensional integration: quasi-Monte Carlo versus adaptive cubature rules, in: V.N. Alexandrov, J.J. Dongarra, B.A. Juliano, R.S. Renner, C.J.K. Tan (Eds.), Computational Science - ICCS, Lecture Notes in Computer Science, vol. 2073, Springer, Berlin, 2001, pp. 1262-1271.
    • (2001) Lecture Notes in Computer Science , vol.2073 , pp. 1262-1271
    • Schürer, R.1
  • 3
    • 0031599142 scopus 로고    scopus 로고
    • Mersenne Twister: A 623-dimensionally equidistributed uniform pseudorandom number generator
    • Matsumoto M., Nishimura T., Mersenne Twister: a 623-dimensionally equidistributed uniform pseudorandom number generator. ACM Trans. Model. Comput. Simul. 8(1):1998;3-30. http://www.math.keio.ac.jp/̃matumoto/emt.html.
    • (1998) ACM Trans. Model. Comput. Simul. , vol.8 , Issue.1 , pp. 3-30
    • Matsumoto, M.1    Nishimura, T.2
  • 4
    • 0023979638 scopus 로고
    • Algorithm 659: Implementing Sobol's quasirandom sequence generator
    • Bratley P., Fox B.L., Algorithm 659: implementing Sobol's quasirandom sequence generator. ACM Trans. Math. Software. 14(1):1988;88-100.
    • (1988) ACM Trans. Math. Software , vol.14 , Issue.1 , pp. 88-100
    • Bratley, P.1    Fox, B.L.2
  • 5
    • 0028756686 scopus 로고
    • Algorithm 738: Programs to generate Niederreiter's low-discrepancy sequences
    • Bratley P., Fox B.L., Niederreiter H., Algorithm 738: Programs to generate Niederreiter's low-discrepancy sequences. ACM Trans. Math. Software. 20(4):1994;494-495.
    • (1994) ACM Trans. Math. Software , vol.20 , Issue.4 , pp. 494-495
    • Bratley, P.1    Fox, B.L.2    Niederreiter, H.3
  • 7
    • 0013442905 scopus 로고
    • Remarks on the disposition of points in numerical integration formulas
    • Stroud A.H., Remarks on the disposition of points in numerical integration formulas. Math. Tables Other Aids Comput. 11:1957;257-261.
    • (1957) Math. Tables Other Aids Comput. , vol.11 , pp. 257-261
    • Stroud, A.H.1
  • 8
    • 84968468646 scopus 로고
    • Numerical evaluation of multiple integrals II
    • Hammer P.C., Stroud A.H., Numerical evaluation of multiple integrals II. Math. Tables Other Aids Comput. 12(64):1958;272-280.
    • (1958) Math. Tables Other Aids Comput. , vol.12 , Issue.64 , pp. 272-280
    • Hammer, P.C.1    Stroud, A.H.2
  • 9
    • 84968468517 scopus 로고
    • Extensions of symmetric integration formulas
    • Stroud A.H., Extensions of symmetric integration formulas. Math. Comput. 22:1968;271-274.
    • (1968) Math. Comput. , vol.22 , pp. 271-274
    • Stroud, A.H.1
  • 10
    • 0013448246 scopus 로고
    • Numerical integration over an n -dimensional rectangular region
    • Phillips G.M., Numerical integration over an. n -dimensional rectangular region Comput. J. 10:1967;297-299.
    • (1967) Comput. J. , vol.10 , pp. 297-299
    • Phillips, G.M.1
  • 12
    • 84976821043 scopus 로고
    • Remarks on algorithm 006: An adaptive algorithm for numerical integration over an n -dimensional rectangular region
    • Genz A.C., Malik A.A., Remarks on algorithm 006: an adaptive algorithm for numerical integration over an. n -dimensional rectangular region J. Comput. Appl. Math. 6(4):1980;295-302.
    • (1980) J. Comput. Appl. Math. , vol.6 , Issue.4 , pp. 295-302
    • Genz, A.C.1    Malik, A.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.