Mots-clés : numerical inversion of Laplace transforms; error bounds; quadrature methods
@article{10_21136_AM_1981_103889,
author = {Stegbuchner, Hans},
title = {Zur numerischen {Inversion} von {Laplace} {Transformierten}},
journal = {Applications of Mathematics},
pages = {1--12},
year = {1981},
volume = {26},
number = {1},
doi = {10.21136/AM.1981.103889},
mrnumber = {0602397},
zbl = {0463.65085},
language = {de},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1981.103889/}
}
TY - JOUR AU - Stegbuchner, Hans TI - Zur numerischen Inversion von Laplace Transformierten JO - Applications of Mathematics PY - 1981 SP - 1 EP - 12 VL - 26 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.1981.103889/ DO - 10.21136/AM.1981.103889 LA - de ID - 10_21136_AM_1981_103889 ER -
Stegbuchner, Hans. Zur numerischen Inversion von Laplace Transformierten. Applications of Mathematics, Tome 26 (1981) no. 1, pp. 1-12. doi: 10.21136/AM.1981.103889
[1] P. J. Davis P. Rabinowitz: Methods of numerical integration. Academic Press New York- London, 1975. | MR
[2] G. Doetsch: Handbuch der Laplace Transformation I. Birkhäuser Verlag Basel, 1950. | MR
[3] R. Dubner J. Abate: Numerical inversion of Laplace transforms by relating them to the finite Fourier Cosine transform. JACM 15, 115-123, 1968. | DOI | MR
[4] F. Durbin: Numerical inversion of Laplace transform: an efficient improvement to Dubner and Abate's method. The Computer Journal 17, 371 - 376, 1973. | DOI | MR
[5] N. M. Korobow: Zahlentheoretische Methoden in der Approximationsanalysis. (russisch). Fismatgis. Moskau, 1963.
[6] L. Kuipers H. Niederreiter: Uniform distribution of sequences. John Wiley & Sons., Inc. New York, 1974. | MR
[7] A. Papoulis: A new method of inversion of the Laplace transform. Quaterly of appl. Math. 14, 405-414, 1957. | DOI | MR
[8] L. A. Schmittroth: Numerical inversion of Laplace transform. Comm. ACM 3, 171-173, 1960. | DOI | MR
[9] P. Zinterhof: Über einige Abschätzungen bei der Approximation von Funktionen mit Gleichverteilungsmethoden. Sitzber. Österr. Akad. Wiss., math. - naturwiss. Kl. 185. 121-132, 1976. | MR | Zbl
[10] P. Zinterhof H. Stegbuchner: Trigonometrische Approximation mit Gleichverteilungsmethoden. (to appear). | MR
Cité par Sources :