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Volumn 185, Issue 2, 2006, Pages 360-376

A polynomial approach to the spectral corrections for Sturm-Liouville problems

Author keywords

rational problems; Corrections for eigenvalues; Shooting for eigenvalues; Sturm Liouville problem

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; PROBLEM SOLVING;

EID: 25144438489     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.03.016     Document Type: Conference Paper
Times cited : (10)

References (14)
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    • Adamyan, V.1    Langer, H.2    Langer, M.3
  • 2
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    • On the correction of finite difference eigenvalue approximations for Sturm-Liouville problems with general boundary conditions
    • R.S. Anderssen, and F.R. de Hoog On the correction of finite difference eigenvalue approximations for Sturm-Liouville problems with general boundary conditions BIT 24 1984 401 412
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    • Anderssen, R.S.1    De Hoog, F.R.2
  • 3
    • 0001787336 scopus 로고
    • Asymptotic correction of computed eigenvalues of differential equations
    • A.L. Andrew Asymptotic correction of computed eigenvalues of differential equations Ann. Numer. Math. 1 1994 41 51
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    • Andrew, A.L.1
  • 5
    • 0035425851 scopus 로고    scopus 로고
    • Improved shooting technique for numerical computations of eigenvalues in Sturm-Liouville problems
    • P. Ghelardoni, and G. Gheri Improved shooting technique for numerical computations of eigenvalues in Sturm-Liouville problems Nonlinear Anal. 47 2001 885 896
    • (2001) Nonlinear Anal. , vol.47 , pp. 885-896
    • Ghelardoni, P.1    Gheri, G.2
  • 7
    • 0036977338 scopus 로고    scopus 로고
    • On some numerical methods for spectral computations in λ-rational Sturm-Liouville problems
    • P. Ghelardoni, G. Gheri, and M. Marletta On some numerical methods for spectral computations in λ -rational Sturm-Liouville problems Calcolo 39 2002 109 121
    • (2002) Calcolo , vol.39 , pp. 109-121
    • Ghelardoni, P.1    Gheri, G.2    Marletta, M.3
  • 8
    • 0037252720 scopus 로고    scopus 로고
    • Numerical solution of a λ-rational Sturm-Liouville problem
    • P. Ghelardoni, G. Gheri, and M. Marletta Numerical solution of a λ -rational Sturm-Liouville problem IMA J. Numer. Anal. 23 2003 29 53
    • (2003) IMA J. Numer. Anal. , vol.23 , pp. 29-53
    • Ghelardoni, P.1    Gheri, G.2    Marletta, M.3
  • 9
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    • A second order differential operator depending nonlinearly on the eigenvalue parameter
    • H. Langer, R. Hennicken, and H. Möller A second order differential operator depending nonlinearly on the eigenvalue parameter Oper. Theory: Adv. Appl. 48 1990 319 332
    • (1990) Oper. Theory: Adv. Appl. , vol.48 , pp. 319-332
    • Langer, H.1    Hennicken, R.2    Möller, H.3
  • 11
    • 0001069053 scopus 로고
    • On the correction of finite difference eigenvalue approximations for Sturm-Liouville problems
    • J.W. Paine, F.R. de Hoog, and R.S. Anderssen On the correction of finite difference eigenvalue approximations for Sturm-Liouville problems Computing 26 1981 123 139
    • (1981) Computing , vol.26 , pp. 123-139
    • Paine, J.W.1    De Hoog, F.R.2    Anderssen, R.S.3
  • 13
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    • A finite element estimate with trigonometric hat functions for Sturm-Liouville eigenvalues
    • G. Vanden Berghe, and H. De Meyer A finite element estimate with trigonometric hat functions for Sturm-Liouville eigenvalues J. Comput. Appl. Math. 53 1994 389 396
    • (1994) J. Comput. Appl. Math. , vol.53 , pp. 389-396
    • Vanden Berghe, G.1    De Meyer, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.