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Volumn 336, Issue 6, 1999, Pages 955-972

Numerical inversion of 2-D Laplace transforms by fast Hartley transform computations

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; FAST FOURIER TRANSFORMS; INTEGRAL EQUATIONS; MATHEMATICAL TRANSFORMATIONS; NUMERICAL METHODS; TWO DIMENSIONAL;

EID: 0032598224     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0016-0032(99)00014-9     Document Type: Article
Times cited : (10)

References (22)
  • 2
    • 0021641763 scopus 로고
    • On state-space models for systems described by partial differential equations
    • Las Vegas, NV
    • S.H. Zak, On state-space models for systems described by partial differential equations, Proc. 23rd Conf. on Decision and Control, Las Vegas, NV, 1984, pp. 571-576.
    • (1984) Proc. 23rd Conf. on Decision and Control , pp. 571-576
    • Zak, S.H.1
  • 3
    • 0345488538 scopus 로고
    • Solutions of boundary problem by multiple Laplace transformation
    • Estrin T.A., Higgins T.S. Solutions of boundary problem by multiple Laplace transformation. J. Franklin Inst. 252(2):1951;153-167.
    • (1951) J. Franklin Inst. , vol.252 , Issue.2 , pp. 153-167
    • Estrin, T.A.1    Higgins, T.S.2
  • 4
    • 84968487124 scopus 로고
    • The solution of boundary value problems by a double Laplace transformation
    • Jaeger J. The solution of boundary value problems by a double Laplace transformation. Bull. Amer. Math. Soc. 46:1940;687-693.
    • (1940) Bull. Amer. Math. Soc. , vol.46 , pp. 687-693
    • Jaeger, J.1
  • 5
    • 0016095947 scopus 로고
    • Synthesis of a class of nonlinear systems in multidimensional frequency domain
    • Bansal V.S., Goyal O. Synthesis of a class of nonlinear systems in multidimensional frequency domain. Proc. IEE. 121(8):1974;883-885.
    • (1974) Proc. IEE , vol.121 , Issue.8 , pp. 883-885
    • Bansal, V.S.1    Goyal, O.2
  • 6
    • 0014618222 scopus 로고
    • Multidimensional Laplace transforms for solution of nonlinear equations
    • Lubbock J.K., Bansal V.S. Multidimensional Laplace transforms for solution of nonlinear equations. Proc. IEE. 116(12):1969;2075-2082.
    • (1969) Proc. IEE , vol.116 , Issue.12 , pp. 2075-2082
    • Lubbock, J.K.1    Bansal, V.S.2
  • 7
    • 0018531352 scopus 로고
    • A Volterra series approach to the solution of time varying linear differential equations
    • Lawrence P.J. A Volterra series approach to the solution of time varying linear differential equations. Int. J. Control. 30(5):1979;581-586.
    • (1979) Int. J. Control , vol.30 , Issue.5 , pp. 581-586
    • Lawrence, P.J.1
  • 8
    • 0016951021 scopus 로고
    • Fractional derivatives, Laplace transforms and association of variables
    • Koh E.L., Conlan J. Fractional derivatives, Laplace transforms and association of variables. Int. J. Systems Sci. 7(5):1976;591-596.
    • (1976) Int. J. Systems Sci. , vol.7 , Issue.5 , pp. 591-596
    • Koh, E.L.1    Conlan, J.2
  • 9
    • 84977669224 scopus 로고
    • Multidimensional transforms: New technique for the association of variables
    • Reddy D.C., Jagan N.C. Multidimensional transforms: new technique for the association of variables. Electron. Lett. 7(10):1971;278-279.
    • (1971) Electron. Lett. , vol.7 , Issue.10 , pp. 278-279
    • Reddy, D.C.1    Jagan, N.C.2
  • 10
    • 0015646207 scopus 로고
    • New theorems of association of variables in multiple dimensional Laplace transform
    • Chen C.F., Chiu R.F. New theorems of association of variables in multiple dimensional Laplace transform. Int. J. Systems Sci. 4(4):1973;647-664.
    • (1973) Int. J. Systems Sci. , vol.4 , Issue.4 , pp. 647-664
    • Chen, C.F.1    Chiu, R.F.2
  • 11
    • 0016471103 scopus 로고
    • Association of variables in n -dimensional Laplace transform
    • Koh E.L. Association of variables in. n -dimensional Laplace transform Int. J. Systems Sci. 6(2):1975;127-131.
    • (1975) Int. J. Systems Sci. , vol.6 , Issue.2 , pp. 127-131
    • Koh, E.L.1
  • 12
    • 0344194605 scopus 로고
    • Certain theorem on associated transform
    • Debnath J., Debnath N.C. Certain theorem on associated transform. Bull. Cal. Math. Soc. 83(1):1991;61-73.
    • (1991) Bull. Cal. Math. Soc. , vol.83 , Issue.1 , pp. 61-73
    • Debnath, J.1    Debnath, N.C.2
  • 13
    • 0016578293 scopus 로고
    • Numerical inversion of multidimensional Laplace transform
    • Singhal K., Vlach J., Vlach M. Numerical inversion of multidimensional Laplace transform. Proc. IEEE. 63:1975;1627-1628.
    • (1975) Proc. IEEE , vol.63 , pp. 1627-1628
    • Singhal, K.1    Vlach, J.2    Vlach, M.3
  • 14
    • 84968510997 scopus 로고
    • Inversion of the N-dimensional Laplace transform
    • Berger B.S. Inversion of the N-dimensional Laplace transform. Math. Comput. 20:1966;418-421.
    • (1966) Math. Comput. , vol.20 , pp. 418-421
    • Berger, B.S.1
  • 15
    • 0020813610 scopus 로고
    • Numerical inversion of multidimensional Laplace transforms via block-pulse functions
    • Hwang C., Guo T.Y., Shih Y.P. Numerical inversion of multidimensional Laplace transforms via block-pulse functions. IEE Proc., Part D: Control Theory Appl. 130(5):1983;250-254.
    • (1983) IEE Proc., Part D: Control Theory Appl. , vol.130 , Issue.5 , pp. 250-254
    • Hwang, C.1    Guo, T.Y.2    Shih, Y.P.3
  • 16
    • 0016880982 scopus 로고
    • Numerical inversion of Laplace transforms using a Fourier series approximation
    • Crump K.S. Numerical inversion of Laplace transforms using a Fourier series approximation. J. ACM. 23(1):1976;89-96.
    • (1976) J. ACM , vol.23 , Issue.1 , pp. 89-96
    • Crump, K.S.1
  • 17
    • 0000150151 scopus 로고
    • Numerical inversion of Laplace transform by relating them to the finite cosine transform
    • Dubner H., Abate J. Numerical inversion of Laplace transform by relating them to the finite cosine transform. J. ACM. 15:1968;115-123.
    • (1968) J. ACM , vol.15 , pp. 115-123
    • Dubner, H.1    Abate, J.2
  • 18
    • 0023396887 scopus 로고
    • Prediction of breakthrough curve by the application of fast Fourier transform
    • Chen T.L., Hsu J.T. Prediction of breakthrough curve by the application of fast Fourier transform. A.I.Ch.E.J. 33(1):1987;1387-1390.
    • (1987) A.I.Ch.E.J. , vol.33 , Issue.1 , pp. 1387-1390
    • Chen, T.L.1    Hsu, J.T.2
  • 19
    • 0009355094 scopus 로고
    • Improved FFT-based numerical inversion of Laplace transforms via Fast Hartley transform algorithm
    • Hwang C., Lu M.J., Shieh L.S. Improved FFT-based numerical inversion of Laplace transforms via Fast Hartley transform algorithm. Comput. Math. Appl. 22(1):1991;13-24.
    • (1991) Comput. Math. Appl. , vol.22 , Issue.1 , pp. 13-24
    • Hwang, C.1    Lu, M.J.2    Shieh, L.S.3
  • 21
    • 0029251312 scopus 로고
    • Fast computation of the two-dimensional generalized Hartley transforms
    • Hu N.C., Lu F.F. Fast computation of the two-dimensional generalized Hartley transforms. IEE Proc.-Visual Image Signal Process. 142(1):1995;35-39.
    • (1995) IEE Proc.-Visual Image Signal Process. , vol.142 , Issue.1 , pp. 35-39
    • Hu, N.C.1    Lu, F.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.