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Volumn 4, Issue 1-2, 2009, Pages 113-127

BVMs for Sturm-Liouville eigenvalue estimates with general boundary conditions

Author keywords

Boundary value methods; Eigenvalues; Sturm Liouville problems

Indexed keywords


EID: 67650675649     PISSN: 17908140     EISSN: 17908159     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (19)

References (12)
  • 1
    • 63249088182 scopus 로고    scopus 로고
    • Boundary Value Methods as an extension of Numerov method for Sturm-Liouville eigenvalue estimates
    • L. Aceto, P. Ghelardoni and C. Magherini, Boundary Value Methods as an extension of Numerov method for Sturm-Liouville eigenvalue estimates, Appl. Numer. Math., 59 1644-1656 (2009)
    • (2009) Appl. Numer. Math , vol.59 , pp. 1644-1656
    • Aceto, L.1    Ghelardoni, P.2    Magherini, C.3
  • 2
    • 41849087684 scopus 로고    scopus 로고
    • Numerical solution of forward and inverse Sturm-Liouville problems with an angular momentum singularity
    • 015001, 21pp
    • L. Aceto, P. Ghelardoni and M. Marletta, Numerical solution of forward and inverse Sturm-Liouville problems with an angular momentum singularity, Inverse Problems, 24 015001, 21pp (2008).
    • (2008) Inverse Problems , vol.24
    • Aceto, L.1    Ghelardoni, P.2    Marletta, M.3
  • 3
    • 0021545557 scopus 로고
    • 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, 24 401-412 (1984).
    • (1984) BIT , vol.24 , pp. 401-412
    • Anderssen, R.S.1    de Hoog, F.R.2
  • 4
    • 0034515670 scopus 로고    scopus 로고
    • Asymptotic correction of Numerov eigenvalue estimates with natural boundary conditions
    • A.L. Andrew, Asymptotic correction of Numerov eigenvalue estimates with natural boundary conditions, J. Comput. Appl. Math., 125 359-366 (2000).
    • (2000) J. Comput. Appl. Math , vol.125 , pp. 359-366
    • Andrew, A.L.1
  • 5
    • 4043164532 scopus 로고    scopus 로고
    • Asymptotic correction of Numerov eigenvalue estimates with general boundary conditions
    • A.L. Andrew, Asymptotic correction of Numerov eigenvalue estimates with general boundary conditions, ANZIAM J., 44 C1-C19 (2002).
    • (2002) ANZIAM J , vol.44
    • Andrew, A.L.1
  • 6
    • 4043163523 scopus 로고    scopus 로고
    • Asymptotic correction of more Sturm-Liouville eigenvalue estimates
    • A.L. Andrew, Asymptotic correction of more Sturm-Liouville eigenvalue estimates, BIT, 43 485-503 (2003).
    • (2003) BIT , vol.43 , pp. 485-503
    • Andrew, A.L.1
  • 7
    • 0000408772 scopus 로고
    • Correction of Numerov eigenvalue estimates
    • A.L. Andrew and J.W. Paine, Correction of Numerov eigenvalue estimates, Numer. Math., 47 289-300 (1985).
    • (1985) Numer. Math , vol.47 , pp. 289-300
    • Andrew, A.L.1    Paine, J.W.2
  • 9
    • 0001653151 scopus 로고
    • Eigenvalue and eigenfunction asymptotics for regular Sturm-Liouville problems
    • C.T. Fulton and S.A. Pruess, Eigenvalue and eigenfunction asymptotics for regular Sturm-Liouville problems, J. Math. Anal. Appl., 188 297-340 (1994).
    • (1994) J. Math. Anal. Appl , vol.188 , pp. 297-340
    • Fulton, C.T.1    Pruess, S.A.2
  • 10
    • 33745223828 scopus 로고    scopus 로고
    • Matslise: A Matlab package for the numerical solution of Sturm-Liouville and Schrödinger equations
    • Available at
    • V. Ledoux, M. Van Daele and G. Vanden Berghe, Matslise: A Matlab package for the numerical solution of Sturm-Liouville and Schrödinger equations, ACM Trans. Math. Software, 31 532-554 (2005). Available at http://users.ugent.be/~vledoux/MATSLISE/
    • (2005) ACM Trans. Math. Software , vol.31 , pp. 532-554
    • Ledoux, V.1    Van Daele, M.2    Vanden Berghe, G.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, 26 123-139 (1981).
    • (1981) Computing , vol.26 , pp. 123-139
    • Paine, J.W.1    de Hoog, F.R.2    Anderssen, R.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.