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Volumn 84, Issue 2-3, 1997, Pages 213-220

Recursive pseudo-inversion of the Laplace transform on the real line

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EID: 0040929765     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(96)00087-2     Document Type: Article
Times cited : (6)

References (10)
  • 1
    • 38249024169 scopus 로고
    • Approximate double series solution to certain Fredholm integral equations of the first kind
    • N. H. S. Haidar, Approximate double series solution to certain Fredholm integral equations of the first kind, J. Math. Anal. Appl. 143:264-289 (1989).
    • (1989) J. Math. Anal. Appl. , vol.143 , pp. 264-289
    • Haidar, N.H.S.1
  • 2
    • 0000962115 scopus 로고
    • Numerical inversion of the Laplace transform by use of the Jacobi polynomial
    • K. M. Miller and J. W. T. Guy, Numerical inversion of the Laplace transform by use of the Jacobi polynomial, SIAM J. Num. Anal 3:624-635 (1966).
    • (1966) SIAM J. Num. Anal , vol.3 , pp. 624-635
    • Miller, K.M.1    Guy, J.W.T.2
  • 3
    • 77958410085 scopus 로고
    • A new numerical method for the inversion of the Laplace transform
    • R. Piessens, A new numerical method for the inversion of the Laplace transform, J. Inst. Math. Appl. 10:185-192 (1972).
    • (1972) J. Inst. Math. Appl. , vol.10 , pp. 185-192
    • Piessens, R.1
  • 4
    • 33947409069 scopus 로고
    • On numerical inversion of the Laplace transform and similar Fredholm integral equations of the first kind
    • J. G. McWhirter and E. R. Pike, On numerical inversion of the Laplace transform and similar Fredholm integral equations of the first kind, J. Phys. A: Math. Gen. 11:1729-1745 (1978).
    • (1978) J. Phys. A: Math. Gen. , vol.11 , pp. 1729-1745
    • McWhirter, J.G.1    Pike, E.R.2
  • 5
    • 0000855234 scopus 로고
    • Pitfalls in the numerical solution of linear ill-posed problems
    • J. M. Varah, Pitfalls in the numerical solution of linear ill-posed problems, SIAM J. Sci. Statist. Comput. 4:164-176 (1983).
    • (1983) SIAM J. Sci. Statist. Comput. , vol.4 , pp. 164-176
    • Varah, J.M.1
  • 6
    • 36149035093 scopus 로고
    • Inversion of the Laplace transform
    • A. G. Ramm, Inversion of the Laplace transform, Inv. Problems 2:55-59 (1986).
    • (1986) Inv. Problems , vol.2 , pp. 55-59
    • Ramm, A.G.1
  • 7
    • 0542450522 scopus 로고
    • On the numerical inversion of the Laplace transform in reproducing kernel Hubert spaces
    • G. Rodrigues and S. Seatzu, On the numerical inversion of the Laplace transform in reproducing kernel Hubert spaces, IMA J. Num. Anal 13:463-475 (1993).
    • (1993) IMA J. Num. Anal , vol.13 , pp. 463-475
    • Rodrigues, G.1    Seatzu, S.2
  • 8
    • 0027608722 scopus 로고
    • A regularization method for the numerical inversion of the Laplace transform
    • C. W. Dong, A regularization method for the numerical inversion of the Laplace transform, SIAM J. Num. Anal 30:759-773 (1993).
    • (1993) SIAM J. Num. Anal , vol.30 , pp. 759-773
    • Dong, C.W.1
  • 9
    • 0027642363 scopus 로고
    • An ε-free a posteriori stopping rule for certain iterative regularization methods
    • M. Hanke, An ε-free a posteriori stopping rule for certain iterative regularization methods, SIAM J. Num. Anal. 30:1208-1228 (1993).
    • (1993) SIAM J. Num. Anal. , vol.30 , pp. 1208-1228
    • Hanke, M.1
  • 10
    • 0042683394 scopus 로고
    • On the numerical solution of Fredholm integral equations of the first kind
    • B. A. Lewis, On the numerical solution of Fredholm integral equations of the first kind, J. Inst Math. Appl. 16:207-220 (1975).
    • (1975) J. Inst Math. Appl. , vol.16 , pp. 207-220
    • Lewis, B.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.