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Inverse Problems
Volumn 14, Issue 1, 1998, Pages 1-7
The Riemann zeta function used in the inversion of the Laplace transform
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EID: 0043210933     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/14/1/002     Document Type: Article
Times cited : (7)
References (14)
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    • Davies, B.1    Martin, B.L.2
  • 2
    • 0342800706 scopus 로고
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    • Selezov T and Korsunski S V 1988 Numerical inversion of the Laplace transform on the basis of Fourier-Bessel expansion Dokl. Akad. Nauk Ukrainia SSR A 11 25-8
    • (1988) Akad. Nauk Ukrainia SSR A , vol.11 , pp. 25-28
    • Selezov, T.1    Korsunski, S.V.2
  • 3
    • 0013276947 scopus 로고
    • A criterion for the choice of sampling parameter in the problem of Laplace transform inversion
    • Brianzi P 1994 A criterion for the choice of sampling parameter in the problem of Laplace transform inversion Inverse Problems 10 55-61
    • (1994) Inverse Problems , vol.10 , pp. 55-61
    • Brianzi, P.1
  • 4
    • 0000962115 scopus 로고
    • Numerical inversion of the Laplace transform by the use of Jacobi polynomial
    • Miller M and Guy W T Jr 1966 Numerical inversion of the Laplace transform by the use of Jacobi polynomial SIAM J. Num. Anal. 3 624-35
    • (1966) SIAM J. Num. Anal. , vol.3 , pp. 624-635
    • Miller, M.1    Guy Jr., W.T.2
  • 5
    • 0001665007 scopus 로고
    • Numerical inversion of Laplace transforms using Laguerre functions
    • Weeks W T 1966 Numerical inversion of Laplace transforms using Laguerre functions J. Assoc. Comput. Mach. 13 419-26
    • (1966) J. Assoc. Comput. Mach. , vol.13 , pp. 419-426
    • Weeks, W.T.1
  • 6
    • 0001583503 scopus 로고
    • On the numerical inversion of the Laplace transform
    • Essah W A and Delves L M 1988 On the numerical inversion of the Laplace transform Inverse Problems 4 705-24
    • (1988) Inverse Problems , vol.4 , pp. 705-724
    • Essah, W.A.1    Delves, L.M.2
  • 7
    • 36149032737 scopus 로고
    • The Laguerre functions in the inversion of the Laplace transform
    • Cunha C and Viloche F 1993 The Laguerre functions in the inversion of the Laplace transform Inverse Problems 9 57-68
    • (1993) Inverse Problems , vol.9 , pp. 57-68
    • Cunha, C.1    Viloche, F.2
  • 8
    • 84968481739 scopus 로고
    • Partitions approximated by finite cosine-series
    • Dubner H 1992 Partitions approximated by finite cosine-series Math. Comput. 58 729-36
    • (1992) Math. Comput. , vol.58 , pp. 729-736
    • Dubner, H.1
  • 9
    • 38249034325 scopus 로고
    • Laplace transform and Padé-type approximants
    • Van Iseghem J 1987 Laplace transform and Padé-type approximants Appl. Num. Math. 3 529-38
    • (1987) Appl. Num. Math. , vol.3 , pp. 529-538
    • Van Iseghem, J.1
  • 10
    • 0009395767 scopus 로고
    • A new method for generating power series expansions of functions
    • Abate J and Dubner H 1968 A new method for generating power series expansions of functions SIAM J. Num. Anal. 5 102-12
    • (1968) SIAM J. Num. Anal. , vol.5 , pp. 102-112
    • Abate, J.1    Dubner, H.2
  • 11
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    • Numerical inversion of Laplace transforms by relating them to the finite Fourier cosine transform
    • Dubner H and Abate J 1968 Numerical inversion of Laplace transforms by relating them to the finite Fourier cosine transform J. Assoc. Comput. Mach. 15 115-23
    • (1968) J. Assoc. Comput. Mach. , vol.15 , pp. 115-123
    • Dubner, H.1    Abate, J.2
  • 12
    • 0014533782 scopus 로고
    • A note on the summation of divergent power series
    • Scraton R E 1968 A note on the summation of divergent power series Proc. Camb. Phil. Soc: 66 109-14
    • (1968) Proc. Camb. Phil. Soc , vol.66 , pp. 109-114
    • Scraton, R.E.1
  • 13
    • 3342912708 scopus 로고
    • Contribution á l'inversion numérique de la transformation de Laplace
    • Universeté de Lille
    • Brochet P 1983 Contribution á l'inversion numérique de la transformation de Laplace Thése 3éme Cycle Universeté de Lille
    • (1983) Thése 3éme Cycle
    • Brochet, P.1
  • 14
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    • On thé inversion of the Laplace transform with equally spaced data
    • Rodrigues G and Seatzu S 1992 On thé inversion of the Laplace transform with equally spaced data Atti. Sem. Mat. Fis. Univ. Modena XL 539-48
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    • Rodrigues, G.1    Seatzu, S.2

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.