Zur numerischen Inversion von Laplace Transformierten
Applications of Mathematics, Tome 26 (1981) no. 1, pp. 1-12
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/AM.1981.103889
Classification : 44A10, 65R10
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  - 
%0 Journal Article
%A Stegbuchner, Hans
%T Zur numerischen Inversion von Laplace Transformierten
%J Applications of Mathematics
%D 1981
%P 1-12
%V 26
%N 1
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1981.103889/
%R 10.21136/AM.1981.103889
%G de
%F 10_21136_AM_1981_103889
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 :