| Title:
|
Zur numerischen Inversion von Laplace Transformierten (German) |
| Title:
|
On the numerical inversion of Laplace transformations (English) |
| Author:
|
Stegbuchner, Hans |
| Language:
|
German |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
26 |
| Issue:
|
1 |
| Year:
|
1981 |
| Pages:
|
1-12 |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Keyword:
|
numerical inversion of Laplace transforms |
| Keyword:
|
error bounds |
| Keyword:
|
quadrature methods |
| MSC:
|
44A10 |
| MSC:
|
65R10 |
| idZBL:
|
Zbl 0463.65085 |
| idMR:
|
MR0602397 |
| DOI:
|
10.21136/AM.1981.103889 |
| . |
| Date available:
|
2008-05-20T18:15:54Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103889 |
| . |
| Reference:
|
[1] P. J. Davis P. Rabinowitz: Methods of numerical integration.Academic Press New York- London, 1975. MR 0448814 |
| Reference:
|
[2] G. Doetsch: Handbuch der Laplace Transformation I.Birkhäuser Verlag Basel, 1950. MR 0344808 |
| Reference:
|
[3] R. Dubner J. Abate: Numerical inversion of Laplace transforms by relating them to the finite Fourier Cosine transform.JACM 15, 115-123, 1968. MR 0235726, 10.1145/321439.321446 |
| Reference:
|
[4] F. Durbin: Numerical inversion of Laplace transform: an efficient improvement to Dubner and Abate's method.The Computer Journal 17, 371 - 376, 1973. MR 0356449, 10.1093/comjnl/17.4.371 |
| Reference:
|
[5] N. M. Korobow: Zahlentheoretische Methoden in der Approximationsanalysis.(russisch). Fismatgis. Moskau, 1963. |
| Reference:
|
[6] L. Kuipers H. Niederreiter: Uniform distribution of sequences.John Wiley & Sons., Inc. New York, 1974. MR 0419394 |
| Reference:
|
[7] A. Papoulis: A new method of inversion of the Laplace transform.Quaterly of appl. Math. 14, 405-414, 1957. MR 0082734, 10.1090/qam/82734 |
| Reference:
|
[8] L. A. Schmittroth: Numerical inversion of Laplace transform.Comm. ACM 3, 171-173, 1960. MR 0116462, 10.1145/367149.367172 |
| Reference:
|
[9] P. Zinterhof: Über einige Abschätzungen bei der Approximation von Funktionen mit Gleichverteilungsmethoden.Sitzber. Österr. Akad. Wiss., math. - naturwiss. Kl. 185. 121-132, 1976. Zbl 0356.65007, MR 0501760 |
| Reference:
|
[10] P. Zinterhof H. Stegbuchner: Trigonometrische Approximation mit Gleichverteilungsmethoden.(to appear). MR 0620142 |
| . |
