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Volumn 28, Issue 1, 2002, Pages 75-100

Algorithm 816: r2d2lri: An algorithm for automatic two-dimensional cubature

Author keywords

Algorithms; Automatic integration; Efficiency; G.1.4 Numerical Analysis : Quadrature and numerical differentiation Multidimensional (multiple) quadrature; G.4 Mathematical Software : Algorithm design and analysis; Reliability and robustness

Indexed keywords


EID: 0039483058     PISSN: 00983500     EISSN: None     Source Type: Journal    
DOI: 10.1145/513001.513006     Document Type: Article
Times cited : (16)

References (18)
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    • 0023287816 scopus 로고
    • Construction of fully symmetric cubature formulae of degree 4k - 3 for fully symmetric planar regions
    • COOLS, R. AND HAEGEMANS, A. 1987. Construction of fully symmetric cubature formulae of degree 4k - 3 for fully symmetric planar regions. J. Comput. Appl. Math. 17, 173-180.
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  • 4
    • 0031099533 scopus 로고    scopus 로고
    • Algorithm 764: Cubpack++: A C++ package for automatic two-dimensional cubature
    • COOLS, R., LAURIE, D., AND PLUYM, L. 1997. Algorithm 764: Cubpack++: A C++ Package for automatic two-dimensional cubature. ACM Trans. Math. Soft. 23, 1, 1-15.
    • (1997) ACM Trans. Math. Soft. , vol.23 , Issue.1 , pp. 1-15
    • Cools, R.1    Laurie, D.2    Pluym, L.3
  • 6
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  • 7
    • 0000155361 scopus 로고
    • The accuracy of floating point summation
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  • 8
    • 0033318245 scopus 로고    scopus 로고
    • d2lri: A non-adaptive algorithm for two-dimensional cubature
    • HILL, M. AND ROBINSON, I. 1999. d2lri: A non-adaptive algorithm for two-dimensional cubature. J. Comput. Appl. Math. 112, 121-145.
    • (1999) J. Comput. Appl. Math. , vol.112 , pp. 121-145
    • Hill, M.1    Robinson, I.2
  • 9
    • 0040609699 scopus 로고    scopus 로고
    • A comparison of strategies for the automatic computation of two-dimensional integrals over infinite domains
    • Marrakech, Morocco Coct.
    • HILL, M. AND ROBINSON, I. 2001. A comparison of strategies for the automatic computation of two-dimensional integrals over infinite domains. (International Conference on Numerical Algorithms, Marrakech, Morocco Coct.).
    • (2001) International Conference on Numerical Algorithms
    • Hill, M.1    Robinson, I.2
  • 11
    • 84943347456 scopus 로고
    • Further remarks on reducing truncation errors
    • KAHAN, W. 1965. Further remarks on reducing truncation errors. Comm. ACM, 8, 40.
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    • Kahan, W.1
  • 12
    • 0033339831 scopus 로고    scopus 로고
    • On the implementation of a modified Sag-Szekeres quadrature method
    • LYNESS, J. N. AND DELVES, L. M. 1999. On the implementation of a modified Sag-Szekeres quadrature method. J. Comput. Appl. Math. 112, 189-200.
    • (1999) J. Comput. Appl. Math. , vol.112 , pp. 189-200
    • Lyness, J.N.1    Delves, L.M.2
  • 13
    • 0019663444 scopus 로고
    • Algorithm 45: Automatic computation of improper integrals over a bounded or unbounded planar region
    • ROBINSON, I. AND DE DONCKER, E. 1981. Algorithm 45: Automatic computation of improper integrals over a bounded or unbounded planar region. Computing 27, 253-284.
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  • 14
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    • Numerical evaluation of high-dimensional integrals
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    • Sag, T.W.1    Szekeres, G.2
  • 15
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    • A new variable transformation for numerical integration
    • SIDI, A. 1993. A new variable transformation for numerical integration. International Series of Numerical Mathematics 112, 359-373.
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    • Sidi, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.