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Volumn 21, Issue 1, 1999, Pages 111-128

Algorithms for parameter selection in the weeks method for inverting the Laplace transform

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; FAST FOURIER TRANSFORMS; INTEGRAL EQUATIONS; INVERSE PROBLEMS; PARAMETER ESTIMATION; POLYNOMIALS;

EID: 0033296255     PISSN: 10648275     EISSN: None     Source Type: None    
DOI: 10.1137/S1064827596312432     Document Type: Article
Times cited : (59)

References (16)
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  • 3
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  • 4
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    • Software for an implementation of Weeks' method for the inverse Laplace transform problem
    • B.S. GARBOW, G. GIUNTA, J.N. LYNESS, AND A. MURLI, Software for an implementation of Weeks' method for the inverse Laplace transform problem, ACM Trans. Math. Software, 14 (1988), pp. 163-170.
    • (1988) ACM Trans. Math. Software , vol.14 , pp. 163-170
    • Garbow, B.S.1    Giunta, G.2    Lyness, J.N.3    Murli, A.4
  • 5
    • 0024032052 scopus 로고
    • Algorithm 662: A FORTRAN software package for the numerical inversion of the Laplace transform based on Weeks' method
    • B.S. GARBOW, G. GIUNTA, J.N. LYNESS, AND A. MURLI, Algorithm 662: A FORTRAN software package for the numerical inversion of the Laplace transform based on Weeks' method, ACM Trans. Math. Software, 14 (1988), pp. 171-176.
    • (1988) ACM Trans. Math. Software , vol.14 , pp. 171-176
    • Garbow, B.S.1    Giunta, G.2    Lyness, J.N.3    Murli, A.4
  • 6
    • 34249976031 scopus 로고
    • More on the Weeks method for the numerical inversion of the Laplace transform
    • G. GIUNTA, G. LACETTI, AND M.R. RIZZARDI, More on the Weeks method for the numerical inversion of the Laplace transform, Numer. Math., 54 (1988), pp. 193-200.
    • (1988) Numer. Math. , vol.54 , pp. 193-200
    • Giunta, G.1    Lacetti, G.2    Rizzardi, M.R.3
  • 10
    • 0021375050 scopus 로고
    • Algorithm 27: A method for the numerical inversion of Laplace transforms
    • G. HONIG AND U. HIRDES, Algorithm 27: A method for the numerical inversion of Laplace transforms, J. Comput. Appl. Meth., 10 (1984), pp. 113-132.
    • (1984) J. Comput. Appl. Meth. , vol.10 , pp. 113-132
    • Honig, G.1    Hirdes, U.2
  • 11
    • 84966209497 scopus 로고
    • A modification of the Weeks method for the numerical inversion of the Laplace transform
    • J.N. LYNESS AND G. GIUNTA, A modification of the Weeks method for the numerical inversion of the Laplace transform, Math. Comp., 47 (1986), pp. 313-322.
    • (1986) Math. Comp. , vol.47 , pp. 313-322
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  • 12
    • 0025448483 scopus 로고
    • Algorithm 682: Talbot's method for the Laplace inversion problem
    • A. MURLI AND M. RIZZARDI, Algorithm 682: Talbot's method for the Laplace inversion problem, ACM Trans. Math. Software, 16 (1990), pp. 158-168.
    • (1990) ACM Trans. Math. Software , vol.16 , pp. 158-168
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  • 13
    • 0002360259 scopus 로고
    • Numerical inversion of the Laplace transform using generalized Laguerre polynomials
    • R. PIESSENS AND M. BRANDERS, Numerical inversion of the Laplace transform using generalized Laguerre polynomials, Proc. IEE, 118 (1971), pp. 1517-1522.
    • (1971) Proc. IEE , vol.118 , pp. 1517-1522
    • Piessens, R.1    Branders, M.2
  • 14
    • 0002152334 scopus 로고
    • The accurate numerical inversion of Laplace transforms
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    • (1979) J. Inst. Math. Appl. , vol.23 , pp. 97-120
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  • 15
    • 0001665007 scopus 로고
    • Numerical inversion of the Laplace transform using Laguerre functions
    • W.T. WEEKS, Numerical inversion of the Laplace transform using Laguerre functions, J. Assoc. Comput. Mach., 13 (1966), pp. 419-429.
    • (1966) J. Assoc. Comput. Mach. , vol.13 , pp. 419-429
    • Weeks, W.T.1
  • 16
    • 0004201980 scopus 로고
    • Princeton University Press, Princeton, NJ
    • D.V. WIDDER, The Laplace Transform, Princeton University Press, Princeton, NJ, 1946.
    • (1946) The Laplace Transform
    • Widder, D.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.