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Volumn 145, Issue 2-3, 2003, Pages 881-886

Large mode number eigenvalues of the prolate spheroidal differential equation

Author keywords

Log log series; Prolate spheroidal wavefunctions

Indexed keywords

ALGEBRA; EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; ITERATIVE METHODS;

EID: 0041520606     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(03)00280-7     Document Type: Article
Times cited : (15)

References (15)
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  • 3
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    • Boyd J.P. Orthogonal rational functions on a semi-infinite interval. Journal of Computational Physics. 70:1987;63-88.
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    • Boyd, J.P.1
  • 5
    • 0008000097 scopus 로고
    • Some asymptotic expressions for prolate spheroidal functions and for the eigenvalues of differential and integral equations of which they are solutions
    • des Cloizeaux J., Mehta M.L. Some asymptotic expressions for prolate spheroidal functions and for the eigenvalues of differential and integral equations of which they are solutions. J. Math. Phys. 13:1972;1745-1754.
    • (1972) J. Math. Phys. , vol.13 , pp. 1745-1754
    • Des Cloizeaux, J.1    Mehta, M.L.2
  • 6
    • 0007900725 scopus 로고
    • Uniform asymptotic expansions for prolate spheroidal functions with large parameters
    • Dunster T.M. Uniform asymptotic expansions for prolate spheroidal functions with large parameters. SIAM J. Math. Anal. 17:1986;1495-1524.
    • (1986) SIAM J. Math. Anal. , vol.17 , pp. 1495-1524
    • Dunster, T.M.1
  • 9
    • 0003502182 scopus 로고
    • Mathieu functions and spheroidal functions and their mathematical foundations, further studies
    • Springer-Verlag, Berlin
    • J. Meixner, F.W. Schäfke, G. Wolf, Mathieu functions and spheroidal functions and their mathematical foundations, further studies, vol. 837 of Lecture notes in mathematics, Springer-Verlag, Berlin, 1980.
    • (1980) Lecture Notes in Mathematics , vol.837
    • Meixner, J.1    Schäfke, F.W.2    Wolf, G.3
  • 10
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    • Asymptotic approximations for prolate spheroidal wave functions
    • Miles J.W. Asymptotic approximations for prolate spheroidal wave functions. Stud. Appl. Math. 54:1975;315-349.
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  • 14
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    • Trefethen L.N. Spectral Methods in Matlab. 2000;Society for Industrial and Applied Mathematics, Philadelphia, PA.
    • (2000) Spectral Methods in Matlab
    • Trefethen, L.N.1
  • 15
    • 0035420586 scopus 로고    scopus 로고
    • Prolate spheroidal wavefunctions, quadrature and interpolation
    • Xiao H., Rokhlin V., Yarvin N. Prolate spheroidal wavefunctions, quadrature and interpolation. Inverse Problems. 17:2001;805-838.
    • (2001) Inverse Problems , vol.17 , pp. 805-838
    • Xiao, H.1    Rokhlin, V.2    Yarvin, N.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.