On the numerical inversion of Laplace transformations

Hans Stegbuchner

Aplikace matematiky (1981)

  • Volume: 26, Issue: 1, page 1-12
  • ISSN: 0862-7940

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Stegbuchner, Hans. "Zur numerischen Inversion von Laplace Transformierten." Aplikace matematiky 26.1 (1981): 1-12. <http://eudml.org/doc/15175>.

@article{Stegbuchner1981,
author = {Stegbuchner, Hans},
journal = {Aplikace matematiky},
keywords = {numerical inversion of Laplace transforms; error bounds; quadrature methods; numerical inversion of Laplace transforms; error bounds; quadrature methods},
language = {ger},
number = {1},
pages = {1-12},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Zur numerischen Inversion von Laplace Transformierten},
url = {http://eudml.org/doc/15175},
volume = {26},
year = {1981},
}

TY - JOUR
AU - Stegbuchner, Hans
TI - Zur numerischen Inversion von Laplace Transformierten
JO - Aplikace matematiky
PY - 1981
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 26
IS - 1
SP - 1
EP - 12
LA - ger
KW - numerical inversion of Laplace transforms; error bounds; quadrature methods; numerical inversion of Laplace transforms; error bounds; quadrature methods
UR - http://eudml.org/doc/15175
ER -

References

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  1. P. J. Davis P. Rabinowitz, Methods of numerical integration, Academic Press New York- London, 1975. (1975) MR0448814
  2. G. Doetsch, Handbuch der Laplace Transformation I, Birkhäuser Verlag Basel, 1950. (1950) MR0344808
  3. R. Dubner J. Abate, 10.1145/321439.321446, JACM 15, 115-123, 1968. (1968) MR0235726DOI10.1145/321439.321446
  4. F. Durbin, 10.1093/comjnl/17.4.371, The Computer Journal 17, 371 - 376, 1973. (1973) MR0356449DOI10.1093/comjnl/17.4.371
  5. N. M. Korobow, Zahlentheoretische Methoden in der Approximationsanalysis, (russisch). Fismatgis. Moskau, 1963. (1963) 
  6. L. Kuipers H. Niederreiter, Uniform distribution of sequences, John Wiley & Sons., Inc. New York, 1974. (1974) MR0419394
  7. A. Papoulis, A new method of inversion of the Laplace transform, Quaterly of appl. Math. 14, 405-414, 1957. (1957) MR0082734
  8. L. A. Schmittroth, 10.1145/367149.367172, Comm. ACM 3, 171-173, 1960. (1960) MR0116462DOI10.1145/367149.367172
  9. P. Zinterhof, Über einige Abschätzungen bei der Approximation von Funktionen mit Gleichverteilungsmethoden, Sitzber. Österr. Akad. Wiss., math. - naturwiss. Kl. 185. 121-132, 1976. (1976) Zbl0356.65007MR0501760
  10. P. Zinterhof H. Stegbuchner, Trigonometrische Approximation mit Gleichverteilungsmethoden, (to appear). MR0620142

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