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Volumn 72, Issue 3-4, 2004, Pages 293-323

The eigenvalue problem for the 2D Laplacian in ℋ-matrix arithmetic and application to the heat and wave equation

Author keywords

matrices; matrix factorizations; Eigenvalues; FEM; Heat equation; High frequency wave equation

Indexed keywords

HEAT EQUATIONS; HIGH-FREQUENCY WAVE EQUATIONS; LINEAR COMPLEXITY; NON-HERMITIAN MATRICES;

EID: 3042751709     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (26)

References (15)
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    • Gavrilyuk, I.P.1    Hackbusch, W.2    Khoromskij, B.N.3
  • 2
    • 0034936175 scopus 로고    scopus 로고
    • ℋ-matrix approximation for elliptic solution operators in cylindric domains
    • Gavrilyuk, I.P., Hackbusch, W., Khoromskij, B.N.: ℋ-matrix approximation for elliptic solution operators in cylindric domains. East-West J. Numer. Math. 9, 25-58 (2001).
    • (2001) East-West J. Numer. Math. , vol.9 , pp. 25-58
    • Gavrilyuk, I.P.1    Hackbusch, W.2    Khoromskij, B.N.3
  • 4
    • 0032637646 scopus 로고    scopus 로고
    • A sparse matrix arithmetic based on ℋ-matrices. Part I: Introduction to ℋ-matrices
    • Hackbusch, W.: A sparse matrix arithmetic based on ℋ-matrices. Part I: Introduction to ℋ-matrices. Computing 62, 89-108 (1999).
    • (1999) Computing , vol.62 , pp. 89-108
    • Hackbusch, W.1
  • 5
    • 0002133258 scopus 로고    scopus 로고
    • A sparse ℋ-matrix arithmetic. Part II: Application to multi-dimensional problems
    • Hackbusch, W., Khoromskij, B.N.: A sparse ℋ-matrix arithmetic. Part II: Application to multi-dimensional problems. Computing 64, 21-47 (2000).
    • (2000) Computing , vol.64 , pp. 21-47
    • Hackbusch, W.1    Khoromskij, B.N.2
  • 6
    • 0034509772 scopus 로고    scopus 로고
    • A sparse ℋ-matrix arithmetic: General complexity estimates
    • Hackbusch, W., Khoromskij, B.N.: A sparse ℋ-matrix arithmetic: General complexity estimates. J. Comput. Appl. Math. 125, 479-501 (2000).
    • (2000) J. Comput. Appl. Math. , vol.125 , pp. 479-501
    • Hackbusch, W.1    Khoromskij, B.N.2
  • 7
    • 0038726355 scopus 로고    scopus 로고
    • ℋ-matrix approximation on graded meshes
    • Whiteman, J.R. (ed), MAFELAP 1999 chapt 19, Amsterdam: Elsevier
    • Hackbusch, W., Khoromskij, B. N.: ℋ-matrix approximation on graded meshes. In: Whiteman, J.R. (ed): The mathematics of finite elements and applications X, MAFELAP 1999 chapt 19, pp. 307-316, Amsterdam: Elsevier, 2000.
    • (2000) The Mathematics of Finite Elements and Applications X , pp. 307-316
    • Hackbusch, W.1    Khoromskij, B.N.2
  • 9
    • 0001852618 scopus 로고    scopus 로고
    • 2-matrices
    • Bungartz, H.-J., Hoppe, R., Zenger, C. (eds.). Berlin, Heidelberg, New York: Springer-Verlag
    • 2- matrices. In: Bungartz, H.-J., Hoppe, R., Zenger, C. (eds.) Lectures on applied mathematics, pp. 29. Berlin, Heidelberg, New York: Springer-Verlag 2000.
    • (2000) Lectures on Applied Mathematics , pp. 29
    • Hackbusch, W.1    Khoromskij, B.N.2    Sauter, S.3
  • 10
    • 0002279610 scopus 로고    scopus 로고
    • Exponential integrators for large systems of differential equations
    • Hochbruck, M., Lubich, Ch.: Exponential integrators for large systems of differential equations. SIAM J. Sci. Comput. 19, 1552-1574 (1998).
    • (1998) SIAM J. Sci. Comput. , vol.19 , pp. 1552-1574
    • Hochbruck, M.1    Lubich, Ch.2
  • 11
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    • A Gautschi-type method for oscillatory second-order differential equations
    • Hochbruck, M., Lubich, Ch.: A Gautschi-type method for oscillatory second-order differential equations. Numer. Math. 83. 403-426 (1999).
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    • Hochbruck, M.1    Lubich, Ch.2
  • 15
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    • Simultaneous iteration for computing invariant subspaces of non-hermitian matrices
    • Stewart, G.W.: Simultaneous iteration for computing invariant subspaces of non-hermitian matrices. Numer. Math. 25, 123-136 (1976).
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.