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Volumn 4, Issue 5, 1998, Pages 486-500

A hybrid subdivision strategy for adaptive integration routines

Author keywords

Adaptive integration software; Cubature; Quadrature

Indexed keywords


EID: 2442540758     PISSN: 0958695X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (3)

References (20)
  • 1
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    • TRITST: A Subroutine for Evaluating the Performance of Subroutines for Automatic Integration over Triangles
    • [Berntsen 89] Dept. of Inf., University of Bergen, Norway
    • [Berntsen 89] Berntsen, J.: "TRITST: A Subroutine for Evaluating the Performance of Subroutines for Automatic Integration over Triangles"; Reports in Informatics 34, Dept. of Inf., University of Bergen, Norway, 1989.
    • (1989) Reports in Informatics , vol.34
    • Berntsen, J.1
  • 2
    • 0027663102 scopus 로고
    • Algorithm 720: An algorithm for adaptive cubature over a collection of 3-dimensional simplices
    • [Berntsen, Cools, Espelid 93]
    • [Berntsen, Cools, Espelid 93] Berntsen, J., Cools, R., Espelid, T.O.: "Algorithm 720: An algorithm for adaptive cubature over a collection of 3-dimensional simplices"; ACM Trans. Math. Software, 19 (1993), 320-332.
    • (1993) ACM Trans. Math. Software , vol.19 , pp. 320-332
    • Berntsen, J.1    Cools, R.2    Espelid, T.O.3
  • 3
    • 0026916230 scopus 로고
    • Algorithm 706: DCUTRI: An algorithm for adaptive cubature over a collection of triangles
    • [Berntsen, Espelid 92]
    • [Berntsen, Espelid 92] Berntsen, J., Espelid, T.O.: "Algorithm 706: DCUTRI: An algorithm for adaptive cubature over a collection of triangles"; ACM. Trans. Math. Software, 18 (1992), 329-342.
    • (1992) ACM. Trans. Math. Software , vol.18 , pp. 329-342
    • Berntsen, J.1    Espelid, T.O.2
  • 4
    • 4043130613 scopus 로고
    • A Test of ADMINT
    • [Berntsen, Espelid, Genz 88] Dept. of Inf., Univ. of Bergen
    • [Berntsen, Espelid, Genz 88] Berntsen, J., Espelid, T.O., Genz, A.: "A Test of ADMINT"; Reports in Informatics 31, Dept. of Inf., Univ. of Bergen (1988).
    • (1988) Reports in Informatics , vol.31
    • Berntsen, J.1    Espelid, T.O.2    Genz, A.3
  • 5
    • 0026303073 scopus 로고
    • An adaptive algorithm for the approximate calculation of multiple integrals
    • [Berntsen, Espelid, Genz 91a]
    • [Berntsen, Espelid, Genz 91a] Berntsen, J., Espelid, T.O., Genz, A.: "An adaptive algorithm for the approximate calculation of multiple integrals"; ACM Trans. Math. Software 17 (1991), 437-451.
    • (1991) ACM Trans. Math. Software , vol.17 , pp. 437-451
    • Berntsen, J.1    Espelid, T.O.2    Genz, A.3
  • 6
    • 0026263188 scopus 로고
    • Algorithm 698: DCUHRE - An adaptive multidimensional integration routine for a vector of integrals
    • [Berntsen, Espelid, Genz 91b]
    • [Berntsen, Espelid, Genz 91b] Berntsen, J., Espelid, T.O., Genz, A.: "Algorithm 698: DCUHRE - an adaptive multidimensional integration routine for a vector of integrals"; ACM Trans. Math. Software 17 (1991), 452-456.
    • (1991) ACM Trans. Math. Software , vol.17 , pp. 452-456
    • Berntsen, J.1    Espelid, T.O.2    Genz, A.3
  • 7
    • 1542464295 scopus 로고
    • On the subdivision strategy in adaptive quadrature algorithms
    • [Berntsen, Espelid, Sørevik 91]
    • [Berntsen, Espelid, Sørevik 91] Berntsen, J., Espelid, T.O., Sørevik, T.: "On the subdivision strategy in adaptive quadrature algorithms"; J. Comput. Appl. Math. 35 (1991), 119-132.
    • (1991) J. Comput. Appl. Math. , vol.35 , pp. 119-132
    • Berntsen, J.1    Espelid, T.O.2    Sørevik, T.3
  • 8
    • 0042399479 scopus 로고
    • CUBPACK: Progress report
    • [Cools, Haegemans 92] Numerical Integration - Recent Developments, Software and Applications (T.O. Espelid and A. Genz, eds.), Kluwer Academic Publishers, Dordrecht
    • [Cools, Haegemans 92] Cools, R., Haegemans, A.: "CUBPACK: Progress report"; Numerical Integration - Recent Developments, Software and Applications (T.O. Espelid and A. Genz, eds.), NATO ASI Series C: Math, and Phys. Sciences, vol. 357, Kluwer Academic Publishers, Dordrecht (1992), 305-315.
    • (1992) NATO ASI Series C: Math. and Phys. Sciences , vol.357 , pp. 305-315
    • Cools, R.1    Haegemans, A.2
  • 9
    • 0031099533 scopus 로고    scopus 로고
    • Algorithm 764: Cubpack++: A C++ package for automatic two-dimensional cubature
    • [Cools, Laurie, Pluym 97a]
    • [Cools, Laurie, Pluym 97a] Cools, R., Laurie, D., Pluym, L.: "Algorithm 764: Cubpack++: A C++ package for automatic two-dimensional cubature"; ACM Trans. Math. Software 23, 1 (1997), 1-15.
    • (1997) ACM Trans. Math. Software , vol.23 , Issue.1 , pp. 1-15
    • Cools, R.1    Laurie, D.2    Pluym, L.3
  • 10
    • 33947131376 scopus 로고    scopus 로고
    • Cools, Laurie, Pluym 97b Report TW255, Dept. of Computer Science, K.U.Leuven, Belgium March
    • [Cools, Laurie, Pluym 97b] Cools, R., Laurie, D., Pluym, L.: "A user manual for Cubpack++ version 1.1"; Report TW255, Dept. of Computer Science, K.U.Leuven, Belgium (March 1997).
    • (1997) A User Manual for Cubpack++ Version 1.1
    • Cools, R.1    Laurie, D.2    Pluym, L.3
  • 11
    • 2442482196 scopus 로고
    • On the subdivision strategy in adaptive cubature algorithms for triangular regions
    • [Espelid, Genz 92] University of Bergen, Norway December
    • [Espelid, Genz 92] Espelid, T.O., Genz, A.: "On the subdivision strategy in adaptive cubature algorithms for triangular regions"; Reports in Informatics 74, University of Bergen, Norway (December 1992).
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    • Espelid, T.O.1    Genz, A.2
  • 12
    • 1542593171 scopus 로고
    • An adaptive numerical integration algorithm for simplices
    • [Genz 91] N.A. Sherwani, E. de Doncker, and J.A. Kapenga, editors, Computing in the 90s - Proceedings of the First Great Lakes Computer Science Conference, Springer-Verlag, New York
    • [Genz 91] Genz, A.: "An adaptive numerical integration algorithm for simplices"; In N.A. Sherwani, E. de Doncker, and J.A. Kapenga, editors, Computing in the 90s - Proceedings of the First Great Lakes Computer Science Conference, Lecture Notes in Computer Science, vol. 507, Springer-Verlag, New York (1991), 279-292.
    • (1991) Lecture Notes in Computer Science , vol.507 , pp. 279-292
    • Genz, A.1
  • 14
    • 84976821043 scopus 로고
    • An adaptive algorithm for numerical integration over an N-dimensional rectangular region
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    • [Genz, Malik 80] Genz, A.C., Malik, A.A.: "An adaptive algorithm for numerical integration over an N-dimensional rectangular region"; J. Comput. Appl. Math. 6 (1980), 295-302.
    • (1980) J. Comput. Appl. Math. , vol.6 , pp. 295-302
    • Genz, A.C.1    Malik, A.A.2
  • 15
    • 2442520821 scopus 로고
    • Algorithm 34: An algorithm for the automatic integration over a triangle
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    • [Haegemans 77] Haegemans, A.: "Algorithm 34: an algorithm for the automatic integration over a triangle"; Computing, 19 (1977), 179-187.
    • (1977) Computing , vol.19 , pp. 179-187
    • Haegemans, A.1
  • 16
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    • Die optimale Sektion bei adaptiven Integrationsverfahren mit globaler Strategie
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    • [Hanke 82] Hanke, W.: "Die optimale Sektion bei adaptiven Integrationsverfahren mit globaler Strategie"; ZAMM 62 (1982), T327-T329.
    • (1982) ZAMM , vol.62
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  • 17
    • 84976776604 scopus 로고
    • CUBTRI - Automatic cubature over a triangle
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    • [Laurie 82] Laurie D.P.: "CUBTRI - automatic cubature over a triangle"; ACM Trans. Math. Software, 8 (1982), 210-218.
    • (1982) ACM Trans. Math. Software , vol.8 , pp. 210-218
    • Laurie, D.P.1
  • 18
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    • Perfectly symmetric two-dimensional integration formulas with minimal number of points
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    • [Rabinowitz, Richter 69] Rabinowitz, P., Richter, N.: "Perfectly symmetric two-dimensional integration formulas with minimal number of points"; Math. Comp. 23 (1969), 765-799.
    • (1969) Math. Comp. , vol.23 , pp. 765-799
    • Rabinowitz, P.1    Richter, N.2
  • 20
    • 8344249623 scopus 로고
    • An adaptive algorithm for numerical integration over an n-dimensional cube
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    • [Van Dooren, De Ridder 76] Van Dooren, P., De Ridder, L.: "An adaptive algorithm for numerical integration over an n-dimensional cube"; J. Comput. Appl. Math. 2 (1976), 207-217.
    • (1976) J. Comput. Appl. Math. , vol.2 , pp. 207-217
    • Van Dooren, P.1    De Ridder, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.