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Volumn 45, Issue 7-8, 2007, Pages 787-794

Gaussian cubature: A practitioner's guide

Author keywords

Gaussian cubature; Monte Carlo; Multivariate probability distributions; Numerical integration; Risk modeling

Indexed keywords

APPROXIMATION THEORY; INTEGRATION; MATHEMATICAL MODELS; MONTE CARLO METHODS; MULTIVARIABLE SYSTEMS; PROBABILITY DISTRIBUTIONS; PROBLEM SOLVING; RANDOM PROCESSES;

EID: 33845583174     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2006.07.021     Document Type: Article
Times cited : (27)

References (15)
  • 1
    • 0020718207 scopus 로고
    • Discrete approximations of probability distributions
    • Miller A.C., and Rice T.R. Discrete approximations of probability distributions. Management Science 29 (1983) 352-362
    • (1983) Management Science , vol.29 , pp. 352-362
    • Miller, A.C.1    Rice, T.R.2
  • 2
    • 0001322055 scopus 로고
    • Efficient handling of probability information for decision analysis under risk
    • Preckel P.V., and DeVuyst E.A. Efficient handling of probability information for decision analysis under risk. American Journal of Agricultural Economics 74 (1992) 655-663
    • (1992) American Journal of Agricultural Economics , vol.74 , pp. 655-663
    • Preckel, P.V.1    DeVuyst, E.A.2
  • 3
    • 0014854899 scopus 로고
    • Numerical evaluation of multiple integrals
    • Haber S. Numerical evaluation of multiple integrals. SIAM Review 12 (1970) 481-526
    • (1970) SIAM Review , vol.12 , pp. 481-526
    • Haber, S.1
  • 4
    • 0001630435 scopus 로고
    • Formulas de Cubatures Mecanique a Coefficients Non Negatifs
    • Tchakaloff V. Formulas de Cubatures Mecanique a Coefficients Non Negatifs. Bulletin des Sciences Mathématiques 18 (1957) 123-134
    • (1957) Bulletin des Sciences Mathématiques , vol.18 , pp. 123-134
    • Tchakaloff, V.1
  • 5
    • 33845585465 scopus 로고    scopus 로고
    • P.V. Preckel, S. Liu, Efficient, Independently Weighted Multivariate Quadratures, Staff Paper No. 94-21, Department of Agricultural Economics, Purdue University, West Lafayette, Indiana, 1994
  • 7
    • 70350097459 scopus 로고    scopus 로고
    • Monte Carlo simulation and numerical integration
    • Geweke J. Monte Carlo simulation and numerical integration. Handbook of Computational Economics I (1996) 731-800
    • (1996) Handbook of Computational Economics , vol.I , pp. 731-800
    • Geweke, J.1
  • 8
    • 0002362171 scopus 로고
    • A survey of methods for constructing cubature formulae
    • Numerical Integration Recent Developments, Software and Applications. Espelid T.O., and Genz A. (Eds), Kluwer Academic Publishers, Boston
    • Cools R. A survey of methods for constructing cubature formulae. In: Espelid T.O., and Genz A. (Eds). Numerical Integration Recent Developments, Software and Applications. NATO ASI Series (1992), Kluwer Academic Publishers, Boston 1-24
    • (1992) NATO ASI Series , pp. 1-24
    • Cools, R.1
  • 9
    • 0020748627 scopus 로고
    • Three-point approximations for continuous random variables
    • Keefer D.L., and Bodily S.E. Three-point approximations for continuous random variables. Management Science 29 (1983) 595-609
    • (1983) Management Science , vol.29 , pp. 595-609
    • Keefer, D.L.1    Bodily, S.E.2
  • 10
    • 33845596280 scopus 로고
    • On error bound for Gaussian cubature
    • Ahlin A.C. On error bound for Gaussian cubature. SIAM Review 4 1 (1962) 25-39
    • (1962) SIAM Review , vol.4 , Issue.1 , pp. 25-39
    • Ahlin, A.C.1
  • 11
    • 84968503762 scopus 로고
    • Error estimates for Gauss quadrature formulas for analytic functions
    • Chawla M.M., and Jain M.K. Error estimates for Gauss quadrature formulas for analytic functions. Mathematics of Computation 22 101 (1968) 82-90
    • (1968) Mathematics of Computation , vol.22 , Issue.101 , pp. 82-90
    • Chawla, M.M.1    Jain, M.K.2
  • 12
    • 33845586647 scopus 로고
    • Asymptotic error estimates for Gauss quadrature formulas for analytic functions
    • Chawla M.M., and Jain M.K. Asymptotic error estimates for Gauss quadrature formulas for analytic functions. Mathematics of Computation 22 101 (1968) 91-97
    • (1968) Mathematics of Computation , vol.22 , Issue.101 , pp. 91-97
    • Chawla, M.M.1    Jain, M.K.2
  • 13
    • 0015022928 scopus 로고
    • Error bounds for fully symmetric cubature rules
    • Lether F.G. Error bounds for fully symmetric cubature rules. SIAM Journal on Numerical Analysis 8 1 (1971) 49-60
    • (1971) SIAM Journal on Numerical Analysis , vol.8 , Issue.1 , pp. 49-60
    • Lether, F.G.1
  • 14
    • 84966248312 scopus 로고
    • Cubature error bounds for analytic functions
    • Lether F.G. Cubature error bounds for analytic functions. Mathematics of Computation 27 123 (1973) 655-668
    • (1973) Mathematics of Computation , vol.27 , Issue.123 , pp. 655-668
    • Lether, F.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.