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Volumn 23, Issue 3, 2007, Pages 933-946

Reconstruction method for inverse Sturm-Liouville problems with discontinuous potentials

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; INVERSE PROBLEMS; PROBLEM SOLVING;

EID: 34249674931     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/23/3/006     Document Type: Article
Times cited : (19)

References (25)
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    • Andrew, A.L.1
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    • Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe
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    • Borg, G.1
  • 9
    • 0001649889 scopus 로고
    • On the determination of a differential equation from its spectral function
    • Gel'fand I M and Levitan B M 1955 On the determination of a differential equation from its spectral function Am. Math. Soc. Transl. 1 253-305
    • (1955) Am. Math. Soc. Transl. , vol.1 , pp. 253-305
    • Gel'Fand, I.M.1    Levitan, B.M.2
  • 10
    • 3342925473 scopus 로고
    • Solution of inverse nodal problems
    • Hald O H and McLaughlin J R 1989 Solution of inverse nodal problems Inverse Problems 5 307-47
    • (1989) Inverse Problems , vol.5 , Issue.3 , pp. 307-347
    • Hald, O.H.1    McLaughlin, J.R.2
  • 11
    • 0005581395 scopus 로고    scopus 로고
    • Inverse problems: Recovery of BV coefficients from nodes
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  • 13
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    • Optimale Eigenwerteinschlieungen
    • Lehmann N J 1963 Optimale Eigenwerteinschlieungen Numer. Math. 5 246-72
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    • Lehmann, N.J.1
  • 15
    • 34249716915 scopus 로고
    • Sturm-Liouville inverse eigenvalue problems
    • McLaughlin J R and Handelmann G H 1980 Sturm-Liouville inverse eigenvalue problems Mech. Today 5 281-95
    • (1980) Mech. Today , vol.5 , pp. 281-295
    • McLaughlin, J.R.1    Handelmann, G.H.2
  • 16
    • 0022680730 scopus 로고
    • Analytic methods for recovering coefficients in differential equations from spectral data
    • McLaughlin J R 1986 Analytic methods for recovering coefficients in differential equations from spectral data SIAM Rev. 28 53-72
    • (1986) SIAM Rev. , vol.28 , Issue.1 , pp. 53-72
    • McLaughlin, J.R.1
  • 17
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    • Stability theorems for two inverse spectral problems
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    • Röhrl N 2005 A least squares functional for solving inverse Sturm-Liouville problems Inverse Problems 21 2009-17
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  • 22
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    • Rundell W and Sacks P E 1992 Reconstruction techniques for classical inverse Sturm-Liouville problems Math. Comput. 58 161-83
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  • 24
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    • Taseli H 2004 Accurate numerical bounds for the spectral points of singular Sturm-Liouville problems over 0 < x < ∞ J. Comput. Appl. Math. 164-165 707-22
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    • Taseli, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.