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Volumn 248, Issue 2, 2000, Pages 572-587

Numerical inversion of the Laplace transform from the real axis

Author keywords

Laplace transform; Mellin transform; numerical analytic continuation

Indexed keywords


EID: 0034662548     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2000.6945     Document Type: Article
Times cited : (27)

References (25)
  • 1
    • 0002574038 scopus 로고
    • First results about the Tikhonov regularization methods for numerically inverting a Laplace transform function
    • d'Alessio A., D'Amore L., Laccetti G. First results about the Tikhonov regularization methods for numerically inverting a Laplace transform function. Rend. Accad. Sci. Fis. Mat. Napoli (4). 60:1993;75-102.
    • (1993) Rend. Accad. Sci. Fis. Mat. Napoli (4) , vol.60 , pp. 75-102
    • D'Alessio, A.1    D'Amore, L.2    Laccetti, G.3
  • 2
    • 0026168954 scopus 로고
    • On the regularized inversion of the Laplace transform
    • Brianzi P., Frontini M. On the regularized inversion of the Laplace transform. Inverse Problems. 7:1991;355-368.
    • (1991) Inverse Problems , vol.7 , pp. 355-368
    • Brianzi, P.1    Frontini, M.2
  • 3
    • 0002604061 scopus 로고
    • A note on the inversion of Laplace transforms
    • Chakrabarti A. A note on the inversion of Laplace transforms. Internat. J. Math. Ed. Sci. Tech. 21:1990;325-328.
    • (1990) Internat. J. Math. Ed. Sci. Tech. , vol.21 , pp. 325-328
    • Chakrabarti, A.1
  • 5
    • 84968481823 scopus 로고
    • An iterative method for the numerical inversion of Laplace transforms
    • Cunha C., Viloche F. An iterative method for the numerical inversion of Laplace transforms. Math. Comp. 64:1995;1193-1198.
    • (1995) Math. Comp. , vol.64 , pp. 1193-1198
    • Cunha, C.1    Viloche, F.2
  • 6
    • 0001987242 scopus 로고
    • Numerical inversion of the Laplace transform: A survey and comparison of methods
    • Davies B., Martin B. Numerical inversion of the Laplace transform: A survey and comparison of methods. J. Comput. Phys. 33:1979;1-32.
    • (1979) J. Comput. Phys. , vol.33 , pp. 1-32
    • Davies, B.1    Martin, B.2
  • 7
    • 0027608722 scopus 로고
    • A regularization method for the numerical inverse of the Laplace transform
    • Dong C. W. A regularization method for the numerical inverse of the Laplace transform. SIAM J. Numer. Anal. 30:1993;759-773.
    • (1993) SIAM J. Numer. Anal. , vol.30 , pp. 759-773
    • Dong C., W.1
  • 9
    • 0032165073 scopus 로고    scopus 로고
    • Improvement of accuracy in numerical methods for inverting Laplace transforms based on the Post-Widder formula
    • Frolov G. A., Kitaev M. Y. Improvement of accuracy in numerical methods for inverting Laplace transforms based on the Post-Widder formula. Comput. Math. Appl. 36:1998;23-34.
    • (1998) Comput. Math. Appl. , vol.36 , pp. 23-34
    • Frolov G., A.1    Kitaev M., Y.2
  • 10
    • 21844503173 scopus 로고
    • An analysis of bilinear transform polynomial methods of inversion of Laplace transforms
    • Giunta G., Murli A., Schmid G. An analysis of bilinear transform polynomial methods of inversion of Laplace transforms. Numer. Math. 69:1995;269-282.
    • (1995) Numer. Math. , vol.69 , pp. 269-282
    • Giunta, G.1    Murli, A.2    Schmid, G.3
  • 11
    • 0021375050 scopus 로고
    • A method for the numerical inversion of Laplace transforms
    • Honig G., Hirdes U. A method for the numerical inversion of Laplace transforms. J. Comput. Appl. Math. 10:1984;113-132.
    • (1984) J. Comput. Appl. Math. , vol.10 , pp. 113-132
    • Honig, G.1    Hirdes, U.2
  • 12
    • 0031223159 scopus 로고    scopus 로고
    • On spline regularized inversion of noisy Laplace transforms
    • Iqbal M. On spline regularized inversion of noisy Laplace transforms. J. Comput. Appl. Math. 83:1997;39-54.
    • (1997) J. Comput. Appl. Math. , vol.83 , pp. 39-54
    • Iqbal, M.1
  • 13
    • 0017949244 scopus 로고
    • An inversion technique for the Laplace transform with application to approximation
    • Jagerman D. An inversion technique for the Laplace transform with application to approximation. Bell. Syst. Tech. J. 57:1978;669-710.
    • (1978) Bell. Syst. Tech. J. , vol.57 , pp. 669-710
    • Jagerman, D.1
  • 15
    • 33947409069 scopus 로고
    • On the numerical inversion of the Laplace transform and similar Fredholm integral equations of the first kind
    • McWirther J. G., Pike E. R. On the numerical inversion of the Laplace transform and similar Fredholm integral equations of the first kind. J. Phys. A. 11:1978.
    • (1978) J. Phys. A , vol.11
    • McWirther J., G.1    Pike E., R.2
  • 16
    • 0002399658 scopus 로고    scopus 로고
    • Numerical inversion of the Laplace transform via fast Fourier transform
    • Mastorakis N. E. Numerical inversion of the Laplace transform via fast Fourier transform. Found. Comput. Decision Sci. 22:1997;21-26.
    • (1997) Found. Comput. Decision Sci. , vol.22 , pp. 21-26
    • Mastorakis N., E.1
  • 17
    • 0016511667 scopus 로고
    • A bibliography on numerical inversion of the Laplace transform and applications
    • Piessens R. A bibliography on numerical inversion of the Laplace transform and applications. J. Comput. Appl. Math. 1:1975;115-128.
    • (1975) J. Comput. Appl. Math. , vol.1 , pp. 115-128
    • Piessens, R.1
  • 18
    • 0002519706 scopus 로고
    • A bibliography on numerical inversion of the Laplace transform and applications: A supplement
    • Piessens R., Dang N. D. P. A bibliography on numerical inversion of the Laplace transform and applications: A supplement. J. Comput. Appl. Math. 2:1976;225-228.
    • (1976) J. Comput. Appl. Math. , vol.2 , pp. 225-228
    • Piessens, R.1    Dang N. D., P.2
  • 19
    • 36149035093 scopus 로고
    • Inversion of the Laplace transform from the real axis
    • Ramm A. G. Inversion of the Laplace transform from the real axis. Inverse Problems. 2:1986;L55-L59.
    • (1986) Inverse Problems , vol.2
    • Ramm A., G.1
  • 21
    • 85026086470 scopus 로고    scopus 로고
    • The ground-penetrating radar problem, III
    • Ramm A. G. The ground-penetrating radar problem, III. J. Inverse Ill-Posed Probl. 8:2000;23-30.
    • (2000) J. Inverse Ill-Posed Probl. , vol.8 , pp. 23-30
    • Ramm A., G.1
  • 23
    • 84979129799 scopus 로고
    • Stable solutions of some ill-posed problems
    • Ramm A. G. Stable solutions of some ill-posed problems. Math. Methods Appl. Sci. 3:1981;336-363.
    • (1981) Math. Methods Appl. Sci. , vol.3 , pp. 336-363
    • Ramm A., G.1
  • 24
    • 0002499724 scopus 로고
    • Optimal harmonic synthesis of generalized Fourier series and integrals with randomly perturbed coefficients
    • Ramm A. G. Optimal harmonic synthesis of generalized Fourier series and integrals with randomly perturbed coefficients. Radiotekhnika. 28:1973;44-49.
    • (1973) Radiotekhnika , vol.28 , pp. 44-49
    • Ramm A., G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.