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Volumn 456, Issue 2003, 2000, Pages 2717-2730

Eigenvalue inclusions via domain decomposition

Author keywords

Domain decomposition; Eigenvalue enclosures; Homotopy methods

Indexed keywords


EID: 0009824690     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.2000.0635     Document Type: Article
Times cited : (13)

References (18)
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  • 4
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    • Inclusions for eigenvalues of selfadjoint problems
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    • Behnke, H. & Goerisch, F. 1994 Inclusions for eigenvalues of selfadjoint problems. In Topics in validated computations (ed. J. Herzberger), pp. 277-322. Series Studies in Computational Mathematics. Amsterdam: North-Holland.
    • (1994) Topics in Validated Computations , pp. 277-322
    • Behnke, H.1    Goerisch, F.2
  • 5
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    • On the discreteness of spectra of singular Sturm-Liouville problems
    • Berkowitz, J. 1959 On the discreteness of spectra of singular Sturm-Liouville problems. Commun. Pure Appl. Math. 12, 523-542.
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    • Berkowitz, J.1
  • 9
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    • A hierarchical method for obtaining eigenvalue enclosures
    • In the press.
    • Davies, E. B. 2000 A hierarchical method for obtaining eigenvalue enclosures. Math. Comp. (In the press.)
    • (2000) Math. Comp.
    • Davies, E.B.1
  • 11
    • 0026143061 scopus 로고
    • Trapped modes in open channels
    • Evans, D. V. & Linton, C. M. 1991 Trapped modes in open channels. J. Fluid Mech. 225, 153-175.
    • (1991) J. Fluid Mech. , vol.225 , pp. 153-175
    • Evans, D.V.1    Linton, C.M.2
  • 12
    • 0038915831 scopus 로고
    • Ein Stufenverfahren zur Berechnung von Eigenwertschranken
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    • Goerisch, F. 1987 Ein Stufenverfahren zur Berechnung von Eigenwertschranken. In Numerische Behandlung von Eigenwertaufgaben (ed. J. Albrecht, L. Collatz & W. Veite), pp. 104-114. Internationale Schriftenreiche Numerische Mathematik 83.
    • (1987) Numerische Behandlung von Eigenwertaufgaben , pp. 104-114
    • Goerisch, F.1
  • 15
    • 0000726991 scopus 로고
    • Bounds for eigenvalues of second-order elliptic differential operators
    • Plum, M. 1991 Bounds for eigenvalues of second-order elliptic differential operators. J. Appl. Math. Phys. (Z. Angew. Math. Phys.) 42, 848-863.
    • (1991) J. Appl. Math. Phys. (Z. Angew. Math. Phys.) , vol.42 , pp. 848-863
    • Plum, M.1
  • 16
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    • Guaranteed numerical bounds for eigenvalues
    • ed. D. Hinton & W. Schaefer. Lecture Notes in Pure and Applied Mathematics, New York: Marcel Dekker.
    • Plum, M. 1997 Guaranteed numerical bounds for eigenvalues. In Spectral theory and computational methods of Sturm-Liouville problems (ed. D. Hinton & W. Schaefer). Lecture Notes in Pure and Applied Mathematics, vol. 191. New York: Marcel Dekker.
    • (1997) Spectral Theory and Computational Methods of Sturm-Liouville Problems , vol.191
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  • 17
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    • Wieners, C. 1997a Bounds for the AT lowest eigenvalues of fourth order boundary value equations. Computing 59, 29-42.
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    • Wieners, C.1
  • 18
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    • The implementation of adaptive multigrid methods for finite elements
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    • Wieners, C. 19976 The implementation of adaptive multigrid methods for finite elements. Technical report SFB 404, Universität Stuttgart. Preprint 97/12.
    • (1997) Technical Report SFB , vol.404
    • Wieners, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.