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Volumn 42, Issue 1, 2002, Pages 183-193

A doubly adaptive integration algorithm using stratified rules

Author keywords

Adaptive quadrature; Selection criterion; Stratified rule; Subdivision

Indexed keywords


EID: 0042920792     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021982405176     Document Type: Article
Times cited : (9)

References (15)
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    • Berntsen, J.1    Espelid, T.O.2
  • 2
    • 0000624238 scopus 로고
    • A method for the numerical integration on an automatic computer
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    • (1960) Numer. Math. , vol.2 , pp. 197-200
    • Clenshaw, C.W.1    Curtis, A.R.2
  • 3
    • 0042399479 scopus 로고
    • Cubpack: Progress report
    • T. Espelid and A. Genz, eds., Kluwer Academic Publishers, Dordrecht
    • R. Cools and A. Haegemans, Cubpack: Progress report, in Numerical Integration, T. Espelid and A. Genz, eds., Kluwer Academic Publishers, Dordrecht, 1992, pp. 305-315.
    • (1992) Numerical Integration , pp. 305-315
    • Cools, R.1    Haegemans, A.2
  • 6
    • 0026166842 scopus 로고
    • Interpolatory integration formula for optimal composition
    • P. Favati, G. Lotti, and F. Romani, Interpolatory integration formula for optimal composition, ACM Trans. Math. Software, 17 (1991), pp. 207-217.
    • (1991) ACM Trans. Math. Software , vol.17 , pp. 207-217
    • Favati, P.1    Lotti, G.2    Romani, F.3
  • 7
    • 0042900392 scopus 로고
    • Comparison of numerical quadrature formulas
    • J. Rice, ed., ACM Monograph series, Academic Press, New York
    • D. K. Kahaner, Comparison of numerical quadrature formulas, in Mathematical Software, J. Rice, ed., ACM Monograph series, Academic Press, New York, 1971, pp. 229-335.
    • (1971) Mathematical Software , pp. 229-335
    • Kahaner, D.K.1
  • 8
    • 0008759632 scopus 로고
    • Stratified sequences of nested quadrature formulas
    • D. P. Laurie, Stratified sequences of nested quadrature formulas, Quaestiones Math., 15 (1992), pp. 364-384.
    • (1992) Quaestiones Math. , vol.15 , pp. 364-384
    • Laurie, D.P.1
  • 9
    • 0016930848 scopus 로고
    • Comments on the nature of automatic quadrature routines
    • J. N. Lyness and J. Kaganove, Comments on the nature of automatic quadrature routines, ACM Trans. Math. Software, 2 (1976), pp. 65-81.
    • (1976) ACM Trans. Math. Software , vol.2 , pp. 65-81
    • Lyness, J.N.1    Kaganove, J.2
  • 10
    • 0015345467 scopus 로고
    • A doubly adaptive Clenshaw-Curtis quadrature
    • J. Oliver, A doubly adaptive Clenshaw-Curtis quadrature, Computer J., 15 (1972), pp. 141-147.
    • (1972) Computer J. , vol.15 , pp. 141-147
    • Oliver, J.1
  • 11
    • 84968498665 scopus 로고
    • The optimum addition of points to quadrature formulae
    • T. N. L. Patterson, The optimum addition of points to quadrature formulae, Math. Comp., 22 (1968), pp. 847-856.
    • (1968) Math. Comp. , vol.22 , pp. 847-856
    • Patterson, T.N.L.1
  • 13
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    • Comparison of numerical integration programs
    • I. Robinson, Comparison of numerical integration programs, J. Comput. Appl. Math., 5:3 (1979), pp. 207-223.
    • (1979) J. Comput. Appl. Math. , vol.5 , Issue.3 , pp. 207-223
    • Robinson, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.