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Volumn 150, Issue 2, 2003, Pages 116-128

Exponentially fitted variable two-step BDF algorithm for first order ODEs

Author keywords

Error analysis; Exponential fitting; Frequency evaluation; Multistep algorithms; Variable steps

Indexed keywords

ALGORITHMS; ERROR ANALYSIS; ORDINARY DIFFERENTIAL EQUATIONS;

EID: 0037290595     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0010-4655(02)00676-8     Document Type: Article
Times cited : (83)

References (14)
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    • Ixaru, L.Gr.1    Rizea, M.2    De Meyer, H.3    Berghe, G.V.4
  • 2
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    • Frequency evaluation in exponential fitting multistep algorithms for ODEs
    • Ixaru L.Gr., Vanden Berghe G., De Meyer H. Frequency evaluation in exponential fitting multistep algorithms for ODEs. J. Comput. Appl. Math. 140:2002;423-434.
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    • Ixaru, L.Gr.1    Vanden Berghe, G.2    De Meyer, H.3
  • 3
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    • Gautschi, W.1
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    • Chebyshevian multistep methods for ordinary differential equations
    • Lyche T. Chebyshevian multistep methods for ordinary differential equations. Numer. Math. 19:1972;65-75.
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    • Lyche, T.1
  • 5
    • 0002481902 scopus 로고
    • Exponential fitting methods for the numerical solution of the Schrödinger equation
    • Raptis A.D., Allison A.C. Exponential fitting methods for the numerical solution of the Schrödinger equation. Comput. Phys. Comm. 14:1978;1-5.
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    • Raptis, A.D.1    Allison, A.C.2
  • 6
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    • A Numerov-like scheme for the numerical solution of the Schroedinger equation in the deep continuum spectrum of energies
    • Ixaru L.Gr., Rizea M. A Numerov-like scheme for the numerical solution of the Schroedinger equation in the deep continuum spectrum of energies. Comput. Phys. Comm. 19:1980;23-27.
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    • Ixaru, L.Gr.1    Rizea, M.2
  • 7
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    • The effect of the variable mesh size on the stability of the multistep methods
    • Gear C.W., Tu K.W. The effect of the variable mesh size on the stability of the multistep methods. SIAM J. Numer. Anal. 11:1974;1025-1043.
    • (1974) SIAM J. Numer. Anal. , vol.11 , pp. 1025-1043
    • Gear, C.W.1    Tu, K.W.2
  • 8
    • 0001253957 scopus 로고
    • Stability of multistep methods on variable grids
    • Grigorieff R. Stability of multistep methods on variable grids. Numer. Math. 42:1983;359-377.
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    • Adaptive finite-difference solver for nonlinear two-point boundary problems with mild boundary-layers
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.