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Volumn 125, Issue 1-2, 2000, Pages 479-501

Sparse H-matrix arithmetic: General complexity estimates

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY ELEMENT METHOD; COMPUTATIONAL COMPLEXITY; COMPUTATIONAL GEOMETRY; DIGITAL ARITHMETIC; HIERARCHICAL SYSTEMS;

EID: 0034509772     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(00)00486-6     Document Type: Article
Times cited : (70)

References (13)
  • 1
    • 0000827236 scopus 로고
    • Wavelet approximation methods for pseudodifferential equations II: Matrix compression and fast solution
    • W. Dahmen, S. Prössdorf, R. Schneider, Wavelet approximation methods for pseudodifferential equations II: Matrix compression and fast solution, Adv. Comput. Math. 1 (1993) 259-335.
    • (1993) Adv. Comput. Math. , vol.1 , pp. 259-335
    • Dahmen, W.1    Prössdorf, S.2    Schneider, R.3
  • 2
    • 85011484616 scopus 로고    scopus 로고
    • A new version of the fast multipole method for the Laplace equation in three dimensions
    • L. Greengard, V. Rokhlin, A new version of the fast multipole method for the Laplace equation in three dimensions, Acta Numer. 6 (1997) 229-269.
    • (1997) Acta Numer. , vol.6 , pp. 229-269
    • Greengard, L.1    Rokhlin, V.2
  • 3
    • 0342439433 scopus 로고
    • The panel clustering algorithm
    • J.R. Whiteman (Ed.), Academic Press, London
    • W. Hackbusch, The panel clustering algorithm, in: J.R. Whiteman (Ed.), MAFELAP 1990, Academic Press, London, 1990, pp. 339-348.
    • (1990) MAFELAP 1990 , pp. 339-348
    • Hackbusch, W.1
  • 5
    • 0032637646 scopus 로고    scopus 로고
    • A sparse matrix arithmetic based on ℋ-matrices. Part I: Introduction to ℋ-matrices
    • W. Hackbusch, A sparse matrix arithmetic based on ℋ-matrices. Part I: introduction to ℋ-matrices, Computing 62 (1999) 89-108.
    • (1999) Computing , vol.62 , pp. 89-108
    • Hackbusch, W.1
  • 6
    • 0002133258 scopus 로고    scopus 로고
    • A sparse ℋ-matrix arithmetic. Part II. Application to multi-dimensional problems
    • preprint MPI, No. 22, Leipzig, 1999
    • W. Hackbusch, B.N. Khoromskij, A sparse ℋ-matrix arithmetic. Part II. Application to multi-dimensional problems, preprint MPI, No. 22, Leipzig, 1999, Computing 64 (2000) 21-47.
    • (2000) Computing , vol.64 , pp. 21-47
    • Hackbusch, W.1    Khoromskij, B.N.2
  • 7
    • 0345753401 scopus 로고    scopus 로고
    • ℋ-matrix approximation on graded meshes
    • preprint MPI, No. 54, Leipzig, JR. Whiteman (Ed.), to appear
    • W. Hackbusch, B.N. Khoromskij, ℋ-matrix approximation on graded meshes, preprint MPI, No. 54, Leipzig, 1999, in: JR. Whiteman (Ed.), Proceedings of MAFELAP 1999, to appear.
    • (1999) Proceedings of MAFELAP 1999
    • Hackbusch, W.1    Khoromskij, B.N.2
  • 10
    • 0001617415 scopus 로고
    • On the fast matrix multiplication in the boundary element method by panel clustering
    • W. Hackbusch, Z.P. Nowak, On the fast matrix multiplication in the boundary element method by panel clustering, Numer. Math. 54 (1989) 463-491.
    • (1989) Numer. Math. , vol.54 , pp. 463-491
    • Hackbusch, W.1    Nowak, Z.P.2
  • 11
    • 0001354988 scopus 로고
    • On the efficient use of the Galerkin method to solve Fredholm integral equations
    • W. Hackbusch, S.A. Sauter, On the efficient use of the Galerkin method to solve Fredholm integral equations, Appl. Math. 38 (1993) 301-322.
    • (1993) Appl. Math. , vol.38 , pp. 301-322
    • Hackbusch, W.1    Sauter, S.A.2
  • 13
    • 0030496223 scopus 로고    scopus 로고
    • Wavelet approximations for first kind boundary integral equations
    • T. von Petersdorff, C. Schwab, Wavelet approximations for first kind boundary integral equations, Numer. Math. 74 (1996) 479-516.
    • (1996) Numer. Math. , vol.74 , pp. 479-516
    • Von Petersdorff, T.1    Schwab, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.