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Volumn 25, Issue 3, 1999, Pages 279-305

An implementation of a Fourier series method for the numerical inversion of the Laplace transform

Author keywords

Automatic stopping criterion; Fourier series methods; Laplace transform inversion

Indexed keywords


EID: 0039374302     PISSN: 00983500     EISSN: None     Source Type: Journal    
DOI: 10.1145/326147.326148     Document Type: Article
Times cited : (52)

References (18)
  • 1
    • 0001649757 scopus 로고
    • Numerical evalution of continued fractions
    • BLANCH, G. 1964. Numerical evalution of continued fractions. SIAM Rev. 6, 4, 383-421.
    • (1964) SIAM Rev. , vol.6 , Issue.4 , pp. 383-421
    • Blanch, G.1
  • 2
    • 0016880982 scopus 로고
    • Numerical inversion of laplace transforms using a fourier series approximation
    • Jan.
    • CRUMP, K. S. 1976. Numerical inversion of Laplace transforms using a Fourier series approximation. J. ACM 23, 1 (Jan.), 89-96.
    • (1976) J. ACM , vol.23 , Issue.1 , pp. 89-96
    • Crump, K.S.1
  • 3
    • 0039959943 scopus 로고
    • An effective discretization error estimate of Fourier series methods for the numerical inversion of the laplace transform
    • D'ALESSIO, A., D'AMORE, L., AND LACCETTI, G. 1994. An effective discretization error estimate of Fourier series methods for the numerical inversion of the Laplace transform. Ricerche di Matematica 43, 2, 293-307.
    • (1994) Ricerche di Matematica , vol.43 , Issue.2 , pp. 293-307
    • D'Alessio, A.1    D'Amore, L.2    Laccetti, G.3
  • 4
    • 0001987242 scopus 로고
    • Numerical inversion of the Laplace transform: A survey and comparison of methods
    • DAVIES, B. AND MARTIN, B. 1979. Numerical inversion of the Laplace transform: A survey and comparison of methods. J. Comput. Phys. 33, 1, 1-32.
    • (1979) J. Comput. Phys. , vol.33 , Issue.1 , pp. 1-32
    • Davies, B.1    Martin, B.2
  • 5
    • 0001293615 scopus 로고
    • An improved method for numerical inversion of Laplace Transforms
    • DE HOOG, F. R., KNIGHT, J. K., AND STOKES, A. N. 1982. An improved method for numerical inversion of Laplace Transforms. SIAM J. Sci. Stat. Comput. 3, 3, 357-366.
    • (1982) SIAM J. Sci. Stat. Comput. , vol.3 , Issue.3 , pp. 357-366
    • De Hoog, F.R.1    Knight, J.K.2    Stokes, A.N.3
  • 9
    • 0000150151 scopus 로고
    • Numerical inversion of Laplace transforms by relating them to the finite Fourier cosine transform
    • Jan.
    • DUBNER, H. AND ABATE, J. 1968. Numerical inversion of Laplace transforms by relating them to the finite Fourier cosine transform. J. ACM 15, 1 (Jan.), 115-123.
    • (1968) J. ACM , vol.15 , Issue.1 , pp. 115-123
    • Dubner, H.1    Abate, J.2
  • 10
    • 0027663475 scopus 로고
    • On the numerical inversion of laplace transforms: Comparison of three new methods on characteristic problems from applications
    • Sept. 1993
    • DUFFY, D. G. 1993. On the numerical inversion of Laplace transforms: Comparison of three new methods on characteristic problems from applications. ACM Trans. Math. Softw. 19, 3 (Sept. 1993), 333-359.
    • (1993) ACM Trans. Math. Softw. , vol.19 , Issue.3 , pp. 333-359
    • Duffy, D.G.1
  • 11
    • 0016125588 scopus 로고
    • Numerical inversion of Laplace Transforms: An efficient improvement to Dubner and Abate's method
    • DURBIN, F. 1974. Numerical inversion of Laplace Transforms: An efficient improvement to Dubner and Abate's method. Comput. J. 17, 4, 371-376.
    • (1974) Comput. J. , vol.17 , Issue.4 , pp. 371-376
    • Durbin, F.1
  • 12
    • 0024030408 scopus 로고
    • Software for an implementation of Weeks' method for the inverse Laplace transform
    • June
    • GARBOW, B. S., GIUNTA, G., LYNESS, J. N., AND MURLI, A. 1988. Software for an implementation of Weeks' method for the inverse Laplace transform. ACM Trans. Math. Softw. 14, 2 (June), 163-170.
    • (1988) ACM Trans. Math. Softw. , vol.14 , Issue.2 , pp. 163-170
    • Garbow, B.S.1    Giunta, G.2    Lyness, J.N.3    Murli, A.4
  • 13
    • 0021375050 scopus 로고
    • A method for numerical inversion of Laplace transforms
    • Feb.
    • HONIG, G. AND HIRDES, U. 1984. A method for numerical inversion of Laplace transforms. J. Comput. Appl. Math. 10, 1 (Feb.), 113-132.
    • (1984) J. Comput. Appl. Math. , vol.10 , Issue.1 , pp. 113-132
    • Honig, G.1    Hirdes, U.2
  • 14
    • 0041147083 scopus 로고
    • The incidental parameters of a numerical method for inverting a Laplace transform function
    • LACCETTI, G. 1992. The incidental parameters of a numerical method for inverting a Laplace transform function. Ricerche di Matematica 41, 1, 163-184.
    • (1992) Ricerche di Matematica , vol.41 , Issue.1 , pp. 163-184
    • Laccetti, G.1
  • 15
  • 16
    • 51249181923 scopus 로고
    • Un metodo per l'inversione numerica della trasformata di Laplace
    • MURLI, A. AND PATRUNO, V. 1978. Un metodo per l'inversione numerica della Trasformata di Laplace. CALCOLO 15, 51-58.
    • (1978) CALCOLO , vol.15 , pp. 51-58
    • Murli, A.1    Patruno, V.2
  • 17
    • 0021488803 scopus 로고
    • Algorithm 619: Automatic numerical inversion of the Laplace transform
    • Sept.
    • PIESSENS, R. AND HUYSMANS, R. 1984. Algorithm 619: Automatic numerical inversion of the Laplace transform. ACM Trans. Math. Softw. 10, 3 (Sept.), 348-353.
    • (1984) ACM Trans. Math. Softw. , vol.10 , Issue.3 , pp. 348-353
    • Piessens, R.1    Huysmans, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.