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Volumn 68, Issue 1, 2015, Pages 167-183

An improved Talbot method for numerical Laplace transform inversion

Author keywords

Inverse Laplace transform; Midpoint rule; Talbot s method; Trapezoidal rule

Indexed keywords


EID: 84929302772     PISSN: 10171398     EISSN: 15729265     Source Type: Journal    
DOI: 10.1007/s11075-014-9895-z     Document Type: Article
Times cited : (85)

References (21)
  • 1
    • 84957980913 scopus 로고    scopus 로고
    • P.P., NumericalLaplaceInversion
    • Abate, J., Valkó, P.P.: NumericalLaplaceInversion (2002). http://library.wolfram.com/infocenter/MathSource/4738/
    • (2002) Valkó
    • Abate, J.1
  • 2
    • 2942738939 scopus 로고    scopus 로고
    • Multi-precision laplace transform inversion
    • Abate, J., Valkó, P.P.: Multi-precision Laplace transform inversion. Int. J. Numer. Methods Fluids 60 (5), 979–993 (2004)
    • (2004) Int. J. Numer. Methods Fluids , vol.60 , Issue.5 , pp. 979-993
    • Abate, J.1    Valkó, P.P.2
  • 4
    • 84957980915 scopus 로고    scopus 로고
    • Raten- und stabilitätsoptimierte Algorithmen zur Berechnung eines Integrals mit Hankelintegrationsweg. Bachelor’s thesis
    • Dingfelder, B.: Raten- und stabilitätsoptimierte Algorithmen zur Berechnung eines Integrals mit Hankelintegrationsweg. Bachelor’s thesis, Technische Universität München,Germany (2012)
    • (2012) Technische Universität München,Germany
    • Dingfelder, B.1
  • 6
    • 0027663475 scopus 로고
    • On the numerical inversion of Laplace transforms: comparison of three new methods on characteristic problems from applications
    • Duffy, D.G.: On the numerical inversion of Laplace transforms: comparison of three new methods on characteristic problems from applications. ACM Trans. Math. Software 19 (3), 333–359 (1993)
    • (1993) ACM Trans. Math. Software , vol.19 , Issue.3 , pp. 333-359
    • Duffy, D.G.1
  • 7
    • 33749034221 scopus 로고    scopus 로고
    • Exponentially convergent algorithms for the operator exponential with applications to inhomogeneous problems in Banach spaces
    • Gavrilyuk, I.P., Makarov, V.L.: Exponentially convergent algorithms for the operator exponential with applications to inhomogeneous problems in Banach spaces. SIAM J. Numer. Ana.l 43 (5), 2144–2171 (2005)
    • (2005) SIAM J. Numer. Ana.l , vol.43 , Issue.5 , pp. 2144-2171
    • Gavrilyuk, I.P.1    Makarov, V.L.2
  • 9
    • 5144231600 scopus 로고    scopus 로고
    • On the numerical inversion of the Laplace transform of certain holomorphic mappings
    • López-Fernández, M., Palencia, C.: On the numerical inversion of the Laplace transform of certain holomorphic mappings. Appl. Numer. Math. 51 (2-3), 289–303 (2004)
    • (2004) Appl. Numer. Math. , vol.51 , Issue.2-3 , pp. 289-303
    • López-Fernández, M.1    Palencia, C.2
  • 10
    • 33749020865 scopus 로고    scopus 로고
    • A spectral order method for inverting sectorial Laplace transforms
    • López-Fernández, M., Palencia, C., Schädle, A.: A spectral order method for inverting sectorial Laplace transforms. SIAM J. Numer. Anal 44 (3), 1332–1350 (2006)
    • (2006) SIAM J. Numer. Anal , vol.44 , Issue.3 , pp. 1332-1350
    • López-Fernández, M.1    Palencia, C.2    Schädle, A.3
  • 11
    • 84957980917 scopus 로고    scopus 로고
    • McClure, T. talbot_inversion (2013)
    • McClure, T. talbot_inversion (2013). http://www.mathworks.com/matlabcentral/fileexchange/39035-numerical-inverse-laplace-transform/
  • 12
    • 0025448483 scopus 로고
    • Algorithm 682: Talbot’s method for the Laplace inversion problem
    • Murli, A., Rizzardi, M.: Algorithm 682: Talbot’s method for the Laplace inversion problem. ACM Trans. Math. Software 16 (2), 158–168 (1990)
    • (1990) ACM Trans. Math. Software , vol.16 , Issue.2 , pp. 158-168
    • Murli, A.1    Rizzardi, M.2
  • 13
    • 0000799469 scopus 로고
    • A modification of Talbot’s method for the simultaneous approximation of several values of the inverse Laplace transform
    • Rizzardi, M.: A modification of Talbot’s method for the simultaneous approximation of several values of the inverse Laplace transform. ACM Trans. Math. Software 21 (4), 347–371 (1995)
    • (1995) ACM Trans. Math. Software , vol.21 , Issue.4 , pp. 347-371
    • Rizzardi, M.1
  • 14
    • 0345016412 scopus 로고    scopus 로고
    • A parallel method for time discretization of parabolic equations based on Laplace transformation and quadrature
    • Sheen, D., Sloan, I.H., Thomée, V.: A parallel method for time discretization of parabolic equations based on Laplace transformation and quadrature. IMA J. Numer. Anal. 23 (2), 269–299 (2003)
    • (2003) IMA J. Numer. Anal. , vol.23 , Issue.2 , pp. 269-299
    • Sheen, D.1    Sloan, I.H.2    Thomée, V.3
  • 16
    • 0002152334 scopus 로고
    • The accurate numerical inversion of Laplace transforms
    • Talbot, A.: The accurate numerical inversion of Laplace transforms. J. Inst. Math. Appl 23 (1), 97–120 (1979)
    • (1979) J. Inst. Math. Appl , vol.23 , Issue.1 , pp. 97-120
    • Talbot, A.1
  • 17
    • 84957980918 scopus 로고    scopus 로고
    • Trefethen, L.N.: Private communication (2006)
    • Trefethen, L.N.: Private communication (2006)
  • 18
    • 33749016203 scopus 로고    scopus 로고
    • Talbot quadratures and rational approximations
    • Trefethen, L.N., Weideman, J.A.C., Schmelzer, T.: Talbot quadratures and rational approximations. BIT 46 (3), 653–670 (2006)
    • (2006) BIT , vol.46 , Issue.3 , pp. 653-670
    • Trefethen, L.N.1    Weideman, J.A.C.2    Schmelzer, T.3
  • 19
    • 34548172888 scopus 로고    scopus 로고
    • Optimizing Talbot’s contours for the inversion of the Laplace transform
    • Weideman, J.A.C.: Optimizing Talbot’s contours for the inversion of the Laplace transform. SIAM J. Numer. Anal 44 (6), 2342–2362 (2006)
    • (2006) SIAM J. Numer. Anal , vol.44 , Issue.6 , pp. 2342-2362
    • Weideman, J.A.C.1
  • 20
    • 76549125164 scopus 로고    scopus 로고
    • Improved contour integral methods for parabolic PDEs
    • Weideman, J.A.C.: Improved contour integral methods for parabolic PDEs. IMA J. Numer. Anal. 30 (1), 334–350 (2010)
    • (2010) IMA J. Numer. Anal. , vol.30 , Issue.1 , pp. 334-350
    • Weideman, J.A.C.1
  • 21
    • 34548162562 scopus 로고    scopus 로고
    • Parabolic and hyperbolic contours for computing the Bromwich integral
    • Weideman, J.A.C., Trefethen, L.N.: Parabolic and hyperbolic contours for computing the Bromwich integral. Math. Comp. 76 (259), 1341–1356 (2007)
    • (2007) Math. Comp. , vol.76 , Issue.259 , pp. 1341-1356
    • Weideman, J.A.C.1    Trefethen, L.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.