Standard

Acceleration of the convergence of the laguerre series in the problem of inverting the laplace transform. / Kabardov, M. M.; Ryabov, V. M.

In: Computational Mathematics and Mathematical Physics, Vol. 49, No. 4, 01.04.2009, p. 579-588.

Research output: Contribution to journal › Article › peer-review

Harvard

Kabardov, MM & Ryabov, VM 2009, 'Acceleration of the convergence of the laguerre series in the problem of inverting the laplace transform', Computational Mathematics and Mathematical Physics, vol. 49, no. 4, pp. 579-588. https://doi.org/10.1134/S0965542509040022

APA

Kabardov, M. M., & Ryabov, V. M. (2009). Acceleration of the convergence of the laguerre series in the problem of inverting the laplace transform. Computational Mathematics and Mathematical Physics, 49(4), 579-588. https://doi.org/10.1134/S0965542509040022

Vancouver

Kabardov MM, Ryabov VM. Acceleration of the convergence of the laguerre series in the problem of inverting the laplace transform. Computational Mathematics and Mathematical Physics. 2009 Apr 1;49(4):579-588. https://doi.org/10.1134/S0965542509040022

Author

Kabardov, M. M. ; Ryabov, V. M. / Acceleration of the convergence of the laguerre series in the problem of inverting the laplace transform. In: Computational Mathematics and Mathematical Physics. 2009 ; Vol. 49, No. 4. pp. 579-588.

BibTeX

@article{71ec00419a9a4152b08fe0df402a006b,
title = "Acceleration of the convergence of the laguerre series in the problem of inverting the laplace transform",
abstract = "When the Laplace transform is inverted numerically, the original function is sought in the form of a series in the Laguerre polynomials. To accelerate the convergence of this series, the Euler-Knopp method is used. The techniques for selecting the optimal value of the parameter of the transform on the real axis and in the complex plane are proposed.",
keywords = "Acceleration of convergence, Euler-Knopp method, Inversion of the Laplace transform, Laguerre series, Laplace transform",
author = "Kabardov, {M. M.} and Ryabov, {V. M.}",
year = "2009",
month = apr,
day = "1",
doi = "10.1134/S0965542509040022",
language = "English",
volume = "49",
pages = "579--588",
journal = "Computational Mathematics and Mathematical Physics",
issn = "0965-5425",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "4",

}

RIS

TY - JOUR

T1 - Acceleration of the convergence of the laguerre series in the problem of inverting the laplace transform

AU - Kabardov, M. M.

AU - Ryabov, V. M.

PY - 2009/4/1

Y1 - 2009/4/1

N2 - When the Laplace transform is inverted numerically, the original function is sought in the form of a series in the Laguerre polynomials. To accelerate the convergence of this series, the Euler-Knopp method is used. The techniques for selecting the optimal value of the parameter of the transform on the real axis and in the complex plane are proposed.

AB - When the Laplace transform is inverted numerically, the original function is sought in the form of a series in the Laguerre polynomials. To accelerate the convergence of this series, the Euler-Knopp method is used. The techniques for selecting the optimal value of the parameter of the transform on the real axis and in the complex plane are proposed.

KW - Acceleration of convergence

KW - Euler-Knopp method

KW - Inversion of the Laplace transform

KW - Laguerre series

KW - Laplace transform

UR - http://www.scopus.com/inward/record.url?scp=65149098734&partnerID=8YFLogxK

U2 - 10.1134/S0965542509040022

DO - 10.1134/S0965542509040022

M3 - Article

AN - SCOPUS:65149098734

VL - 49

SP - 579

EP - 588

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

IS - 4

ER -

ID: 35462324