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Volumn 70, Issue 1, 2003, Pages 1-24

Adaptive low-rank approximation of collocation matrices

Author keywords

Fast solvers; Hierarchical matrices; Integral equations; Low rank approximation

Indexed keywords

ALGORITHMS; BOUNDARY ELEMENT METHOD; FUNCTIONS; GALERKIN METHODS; INTEGRAL EQUATIONS; MATRIX ALGEBRA; PROBLEM SOLVING; SET THEORY;

EID: 0041841599     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00607-002-1469-6     Document Type: Article
Times cited : (480)

References (12)
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    • Bebendorf, M.1
  • 2
    • 0042735676 scopus 로고    scopus 로고
    • Effiziente numerische Lösung von Randintegralgleichungen unter Verwendung von Niedrigrang-Matrizen
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    • Bebendorf, M.: Effiziente numerische Lösung von Randintegralgleichungen unter Verwendung von Niedrigrang-Matrizen. dissertation.de, Verlag im Internet, 2001. ISBN 3-89825-183-7.
    • (2001)
    • Bebendorf, M.1
  • 3
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    • ∞-coefficients
    • Technical Report 21, Max-Planck-Institute, Leipzig; to appear in Numer. Math.
    • ∞-Coefficients. Technical Report 21, Max-Planck-Institute, Leipzig, 2002. to appear in Numer. Math.
    • (2002)
    • Bebendorf, M.1    Hackbusch, W.2
  • 4
    • 0002544359 scopus 로고    scopus 로고
    • Matrix compression for the radiation heat transfer in exhaust pipes
    • A.-M. Sändig, W. Schielen, W. L. Wendland (eds.); Springer Verlag
    • Bebendorf, M., Rjasanow, S.: Matrix Compression for the Radiation Heat Transfer in Exhaust Pipes. In: Multifield Problems: state of the art, A.-M. Sändig, W. Schielen, W. L. Wendland (eds.), pp. 183-192. Springer Verlag, 2000.
    • (2000) Multifield Problems: State of the Art , pp. 183-192
    • Bebendorf, M.1    Rjasanow, S.2
  • 5
    • 0000362580 scopus 로고    scopus 로고
    • A fast adaptive multipole algorithm in three dimensions
    • Cheng, H., Greengard, L.; Rokhlin, V.: A fast adaptive multipole algorithm in three dimensions. J. Comput. Phys. 155(2), 468-498 (1999).
    • (1999) J. Comput. Phys. , vol.155 , Issue.2 , pp. 468-498
    • Cheng, H.1    Greengard, L.2    Rokhlin, V.3
  • 7
    • 0032637646 scopus 로고    scopus 로고
    • A sparse matrix arithmetic based on ℋ-matrices. I. Introduction to ℋ-matrices
    • Hackbusch, W.: A sparse matrix arithmetic based on ℋ-matrices. I. Introduction to ℋ-matrices. Computing 62(2), 89-108 (1999).
    • (1999) Computing , vol.62 , Issue.2 , pp. 89-108
    • Hackbusch, W.1
  • 8
    • 0002133258 scopus 로고    scopus 로고
    • A sparse ℋ-matrix arithmetic. II. Application to multi-dimensional problems
    • Hackbusch, W., Khoromskij, B. N.: A sparse ℋ-matrix arithmetic. II. Application to multi-dimensional problems. Computing 64(1), 21-47 (2000).
    • (2000) Computing , vol.64 , Issue.1 , pp. 21-47
    • Hackbusch, W.1    Khoromskij, B.N.2
  • 9
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    • On the fast matrix multiplication in the boundary element method by panel clustering
    • Hackbusch, W., Nowak, Z. P.: On the fast matrix multiplication in the boundary element method by panel clustering. Numer. Math. 54(4), 463-491 (1989).
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    • Hackbusch, W.1    Nowak, Z.P.2
  • 11
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    • Summary of results for benchmark problem 10 (steel plates around a coil)
    • Nakata, T., Takahashi, N., Fujiwara, K.: Summary of results for benchmark problem 10 (steel plates around a coil). COMPEL 11, 335-344 (1992).
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.