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Volumn 226, Issue 1, 1998, Pages 121-129

High Order Approximations of the Eigenvalues of Regular Sturm-Liouville Problems

Author keywords

Sturm Liouville problems; Whittaker Shannon Kotel'nikov sampling theorem; eigenvalues

Indexed keywords


EID: 0040685557     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1998.6049     Document Type: Article
Times cited : (15)

References (16)
  • 1
    • 0039042716 scopus 로고
    • Calculating the eigenvalues of ordinary differential equations
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    • (1995) Comp. Maths Math. Phys. , vol.35 , pp. 477-482
    • Algazin, S.D.1
  • 3
    • 0001586521 scopus 로고
    • Computing Eigenvalues of Singular Sturm-Liouville Problems
    • Basel: Birkhäuser
    • Bailey P. B., Everitt W. N., Zettl A. Computing Eigenvalues of Singular Sturm-Liouville Problems. Results in Mathematics. 20:1991;Birkhäuser, Basel.
    • (1991) Results in Mathematics , vol.20
    • Bailey, P.B.1    Everitt, W.N.2    Zettl, A.3
  • 7
    • 0041356979 scopus 로고    scopus 로고
    • Computing eigenvalues of regular Sturm-Liouville problems
    • B. Chanane, Computing eigenvalues of regular Sturm-Liouville problems, Appl. Math. Lett.
    • Appl. Math. Lett.
    • Chanane, B.1
  • 8
    • 0030587995 scopus 로고    scopus 로고
    • The shooting method for solving eigenvalue problems
    • Chen X. The shooting method for solving eigenvalue problems. J. Math. Anal. Appl. 203:1996;435-450.
    • (1996) J. Math. Anal. Appl. , vol.203 , pp. 435-450
    • Chen, X.1
  • 9
    • 0011844970 scopus 로고
    • On the transformation theory of ordinary second order linear symmetric differential expressions
    • Everitt W. N. On the transformation theory of ordinary second order linear symmetric differential expressions. Czechoslovak Math. J. 107:1982;275-305.
    • (1982) Czechoslovak Math. J. , vol.107 , pp. 275-305
    • Everitt, W.N.1
  • 10
    • 0027659554 scopus 로고
    • Mathematical software for Sturm-Liouville problems
    • Fulton C. T., Pruess S. A. Mathematical software for Sturm-Liouville problems. ACM Trans. Math. Software. 19:1993;360-376.
    • (1993) ACM Trans. Math. Software , vol.19 , pp. 360-376
    • Fulton, C.T.1    Pruess, S.A.2
  • 11
    • 0001653151 scopus 로고
    • Eigenvalue and eigenfunctions asymptotics for regular Sturm-Liouville problems
    • Fulton C. T., Pruess S. A. Eigenvalue and eigenfunctions asymptotics for regular Sturm-Liouville problems. J. Math. Anal. Appl. 188:1994;297-340.
    • (1994) J. Math. Anal. Appl. , vol.188 , pp. 297-340
    • Fulton, C.T.1    Pruess, S.A.2
  • 12
    • 0007220298 scopus 로고
    • Numerical approximation of eigenvalues of Sturm-Liouville systems
    • Hargrave B. A. Numerical approximation of eigenvalues of Sturm-Liouville systems. J. Comput. Phys. 20:1976;381-396.
    • (1976) J. Comput. Phys. , vol.20 , pp. 381-396
    • Hargrave, B.A.1
  • 13
    • 38149147889 scopus 로고
    • Asymptotics of eigenvalues for regular Sturm-Liouville problems
    • Harris B. J. Asymptotics of eigenvalues for regular Sturm-Liouville problems. J. Math. Anal. Appl. 183:1994;25-36.
    • (1994) J. Math. Anal. Appl. , vol.183 , pp. 25-36
    • Harris, B.J.1
  • 14
    • 0002523173 scopus 로고
    • Automatic solution of Sturm-Liouville problems using the Pruess method
    • Marletta M., Pryce J. D. Automatic solution of Sturm-Liouville problems using the Pruess method. J. Comput. Appl. Math. 39:1992;57-78.
    • (1992) J. Comput. Appl. Math. , vol.39 , pp. 57-78
    • Marletta, M.1    Pryce, J.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.