Document Zbl 0348.65113

An algorithm for asymptotic approximation of Laplace integrals. (English) Zbl 0348.65113

Computing 18, 51-58 (1977).

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MSC:

65R20	Numerical methods for integral equations
44A10	Laplace transform

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[1]	Franklin, J., Friedman, B.: A convergent asymptotic representation for integrals. Proc. Camb. Phil. Soc.53, 612–619 (1957). · Zbl 0081.29103 · doi:10.1017/S0305004100032667
[2]	Henrici, P.: Error bounds for computation with continued fractions. In: Error in digital computation (Rall, L. B., ed.) Vol. 2. Wiley 1965. · Zbl 0161.12905
[3]	Neuhaus, W., Schottlaender, S.: Die Weiterentwicklung der Aireyschen Konvergenzfaktoren für das Exponentialintegral zu einer Darstellung mit Restglied. Computing15, 41–52 (1975). · Zbl 0314.41020 · doi:10.1007/BF02252835
[4]	Neuhaus, W.: Die Entwicklung des Exponentialintegrals in eine divergente asymptotische 3-Stufen-Reihe–eine neuartige Approximation. ZAMM56, T 306-T 308 (1976). · Zbl 0328.65017
[5]	Nörlund, N.-E.: Séries d’interpolation. Paris: Gauthier-Villars 1926. · JFM 52.0301.04
[6]	Olver, F. W. J.: Asymptotics and special functions, 1st ed., p. 89–90. New York-London-Sydney: Academic Press 1974. · Zbl 0303.41035

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