메뉴 건너뛰기




Volumn 112, Issue 1-2, 1999, Pages 291-308

Integrating composed singularities using nonuniform subdivision and extrapolation

Author keywords

Homogeneous functions; Multidimensional quadrature; Nonuniform subdivision; Numerical integration; Singular integrands* Extrapolation

Indexed keywords

APPROXIMATION THEORY; EXTRAPOLATION;

EID: 0033343685     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(99)00227-7     Document Type: Article
Times cited : (2)

References (17)
  • 1
    • 0026303073 scopus 로고
    • An adaptive algorithm for the approximate calculation of multiple integrals
    • Berntsen J., Espelid T.O., Genz A. An adaptive algorithm for the approximate calculation of multiple integrals. ACM Trans. Math. Software. 17(4):1991;437-451.
    • (1991) ACM Trans. Math. Software , vol.17 , Issue.4 , pp. 437-451
    • Berntsen, J.1    Espelid, T.O.2    Genz, A.3
  • 2
    • 0026263188 scopus 로고
    • Algorithm 698: DCUHRE: An adaptive multidimensional integration routine for a vector of integrals
    • 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(4):1991;452-456.
    • (1991) ACM Trans. Math. Software , vol.17 , Issue.4 , pp. 452-456
    • Berntsen, J.1    Espelid, T.O.2    Genz, A.3
  • 4
    • 0004635617 scopus 로고
    • New Euler-Maclaurin expansions and their application to quadrature over the s-dimensional Simplex
    • de Doncker E. New Euler-Maclaurin expansions and their application to quadrature over the s-dimensional Simplex. Math. Comp. 33:1979;1003-1018.
    • (1979) Math. Comp. , vol.33 , pp. 1003-1018
    • De Doncker, E.1
  • 6
    • 84936411016 scopus 로고
    • Asymptotic expansions and their applications in numerical quadrature
    • in: P. Keast, G. Fairweather (Eds.), D. Reidel Publishing Company, Dordreche
    • E. de Doncker-Kapenga, Asymptotic expansions and their applications in numerical quadrature, in: P. Keast, G. Fairweather (Eds.), Proceedings of the NATO Advanced Research Workshop on Numerical Integration, D. Reidel Publishing Company, Dordreche, 1987, pp. 207-218.
    • (1987) Proceedings of the NATO Advanced Research Workshop on Numerical Integration , pp. 207-218
    • De Doncker-Kapenga, E.1
  • 7
    • 0040295541 scopus 로고
    • Integrating singularities using non-uniform subdivision and extrapolation
    • in: H. Brass, G. Hämmerlin (Eds.), Birkhäuser Verlag, Basel
    • T.O. Espelid, Integrating singularities using non-uniform subdivision and extrapolation, in: H. Brass, G. Hämmerlin (Eds.), Numerical Integration IV, Intern. Series of Numerical Math., Vol. 112, Birkhäuser Verlag, Basel, 1993, pp. 77-89.
    • (1993) Numerical Integration IV, Intern. Series of Numerical Math. , vol.112 , pp. 77-89
    • Espelid, T.O.1
  • 8
    • 0040295542 scopus 로고
    • On integrating vertex singularities using extrapolation
    • T.O. Espelid, On integrating vertex singularities using extrapolation, BIT (34) (1994) 62-79.
    • (1994) BIT , Issue.34 , pp. 62-79
    • Espelid, T.O.1
  • 9
    • 0000213061 scopus 로고
    • Decuhr: An algorithm for automatic integrating of singular functions over a hyperrectangular region
    • Espelid T.O., Genz A. Decuhr: An algorithm for automatic integrating of singular functions over a hyperrectangular region. Nume. Algorithms. 8:1994;201-220.
    • (1994) Nume. Algorithms , vol.8 , pp. 201-220
    • Espelid, T.O.1    Genz, A.2
  • 10
    • 0040069815 scopus 로고
    • Applications of extrapolation techniques to multidimensional quadrature of some integrand functions with a singularity
    • Lyness J.N. Applications of extrapolation techniques to multidimensional quadrature of some integrand functions with a singularity. J. Comput. Phys. 20(3):1976;346-364.
    • (1976) J. Comput. Phys. , vol.20 , Issue.3 , pp. 346-364
    • Lyness, J.N.1
  • 11
    • 84966205908 scopus 로고
    • An error functional expansion for n -dimensional quadrature with an integrand function singular at a point
    • Lyness J.N. An error functional expansion for. n -dimensional quadrature with an integrand function singular at a point Math. Comp. 30(133):1976;1-23.
    • (1976) Math. Comp. , vol.30 , Issue.133 , pp. 1-23
    • Lyness, J.N.1
  • 14
    • 84966226927 scopus 로고
    • Quadrature error functional expansions for the simplex when the integrand function has singularities at vertices
    • Lyness J.N., Monegato G. Quadrature error functional expansions for the simplex when the integrand function has singularities at vertices. Math. Comp. 34(149):1980;213-225.
    • (1980) Math. Comp. , vol.34 , Issue.149 , pp. 213-225
    • Lyness, J.N.1    Monegato, G.2
  • 15
    • 0011458594 scopus 로고
    • Euler-Maclaurin expansions for integrals over triangles of functions having algebraic / logaritmic singularities along an edge
    • Sidi A. Euler-Maclaurin expansions for integrals over triangles of functions having algebraic. / logaritmic singularities along an edge J. Approx. Theory. 39(1):1983;39-53.
    • (1983) J. Approx. Theory , vol.39 , Issue.1 , pp. 39-53
    • Sidi, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.