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Integral Transforms and Special Functions
Volumn 11, Issue 3, 2001, Pages 225-232
Inversion of the Laplace transform via Post-Widder formula
Author keywords

Integral transform; Inverse problems; Laplace transform; Numerical inversion of the Laplace transform
Indexed keywords

EID: 0346454438     PISSN: 10652469     EISSN: None     Source Type: Journal    
DOI: 10.1080/10652460108819314     Document Type: Article
Times cited : (14)
References (13)
  • 3
    • 0025413867 scopus 로고
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    • Wilson, C. Obi, Error analysis of a Laplace transform inversion procedure, SIAM J. Numer. Anal., 27 (1990), No. 2, 457-469.
    • (1990) SIAM J. Numer. Anal. , vol.27 , Issue.2 , pp. 457-469
    • Wilson, C.O.1
  • 4
    • 0017949244 scopus 로고
    • An inversion technique for the Laplace transform with applications to approximation
    • D.L. Jagerman, An inversion technique for the Laplace transform with applications to approximation, Bell System Tech. J., 57 (1968), 669-710.
    • (1968) Bell System Tech. J. , vol.57 , pp. 669-710
    • Jagerman, D.L.1
  • 6
    • 84966209497 scopus 로고
    • A modification of the Week's method for numerical inversion of the Laplace transform
    • J.N. Lyness and G. Giunta, A modification of the Week's method for numerical inversion of the Laplace transform, Math. Comp., 47 (1986), 313-322.
    • (1986) Math. Comp. , vol.47 , pp. 313-322
    • Lyness, J.N.1    Giunta, G.2
  • 7
    • 0020191774 scopus 로고
    • An inversion technique for the Laplace transform
    • D.L. Jaegerman, An inversion technique for the Laplace transform, Bell System Tech. J., 61 (1982), 1995-2002.
    • (1982) Bell System Tech. J. , vol.61 , pp. 1995-2002
    • Jaegerman, D.L.1
  • 8
    • 0346646798 scopus 로고
    • Addison-Wesley, Reading, MA
    • Apple Computer, Inc., Apple Numerics Manual, Addison-Wesley, Reading, MA, 1986.
    • (1986) Apple Numerics Manual
  • 9
    • 0043210933 scopus 로고    scopus 로고
    • The Riemann zeta function used in the inversion of the Laplace transform
    • A.A. Al-Shuaibi, The Riemann zeta function used in the inversion of the Laplace transform, Inverse Problems, 14 (1998), 1-7.
    • (1998) Inverse Problems , vol.14 , pp. 1-7
    • Al-Shuaibi, A.A.1
  • 10
    • 0009395767 scopus 로고
    • A new method for generating power series expansions of function
    • J. Abate and H. Dubner, A new method for generating power series expansions of function, SIAM J. Numer. Anal., 5 (1968), 102-112.
    • (1968) SIAM J. Numer. Anal. , vol.5 , pp. 102-112
    • Abate, J.1    Dubner, H.2
  • 11
    • 0000150151 scopus 로고
    • Numerical inversion of Laplace transforms by relating them to the finite Fourier cosine transform
    • H. Dubner and J. Abate, Numerical inversion of Laplace transforms by relating them to the finite Fourier cosine transform, J. Assoc. Comput. Mach., 15 (1968), 115-123.
    • (1968) J. Assoc. Comput. Mach. , vol.15 , pp. 115-123
    • Dubner, H.1    Abate, J.2
  • 12
    • 84968481739 scopus 로고
    • Partitions approximated by finite cosine series
    • H. Dubner, Partitions approximated by finite cosine series, Mathematics of Computation, 58 (1992), No. 198, 729-736.
    • (1992) Mathematics of Computation , vol.58 , Issue.198 , pp. 729-736
    • Dubner, H.1
  • 13
    • 0347907011 scopus 로고
    • On the numerical inversion of the Laplace transform
    • W.A. Essah and L.M. Delves, On the numerical inversion of the Laplace transform, Inverse Problems, 9 (1993), 57-68.
    • (1993) Inverse Problems , vol.9 , pp. 57-68
    • Essah, W.A.1    Delves, L.M.2

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.