@article{ZVMMF_2006_46_5_a0,
author = {V. M. Ryabov},
title = {On quadratures related to {Pad\'e} approximants for the inversion of the {Laplace} transform},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {771--780},
year = {2006},
volume = {46},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_5_a0/}
}
TY - JOUR AU - V. M. Ryabov TI - On quadratures related to Padé approximants for the inversion of the Laplace transform JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2006 SP - 771 EP - 780 VL - 46 IS - 5 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_5_a0/ LA - ru ID - ZVMMF_2006_46_5_a0 ER -
V. M. Ryabov. On quadratures related to Padé approximants for the inversion of the Laplace transform. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 5, pp. 771-780. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_5_a0/
[1] Ryabov V. M., “Chislennye metody obrascheniya preobrazovaniya Laplasa”, Metody vychislenii, 13, Izd-vo Leningr. un-ta, L., 1983, 97–116 | MR
[2] Ryabov V. M., “Otsenka pogreshnosti kvadraturnykh formul obrascheniya preobrazovaniya Laplasa, svyazannykh s approksimatsiyami Pade funktsii $e^z$”, Vestn. Leningr. un-ta, 1984, no. 1, 42–47 | MR | Zbl
[3] Ryabov V. M., “O tochnosti nekotorykh metodov obrascheniya preobrazovaniya Laplasa”, Metody vychislenii, 14, Izd-vo Leningr. un-ta, L., 1985, 59–71 | MR
[4] Ryabov V. M., “O tochnosti vychisleniya znachenii i skachkov originala metodom Viddera”, Vestn. Leningr. un-ta, 1989, no. 15, 35–38 | MR
[5] Ryabov V. M., “Vychislenie skachkov originala po ego izobrazheniyu s pomoschyu kvadraturnykh formul”, Vestn. S.-Peterburgskogo un-ta, 1998, no. 1, 36–39 | MR | Zbl
[6] Ryabov V. M., “Nekotorye svoistva kvadraturnykh formul naivysshei stepeni tochnosti chislennogo obrascheniya preobrazovaniya Laplasa”, Vestn. S.-Peterburgskogo un-ta, 2000, no. 1, 68–73 | MR | Zbl
[7] Krylov V. I., Skoblya N. S., Metody priblizhennogo preobrazovaniya Fure i obrascheniya preobrazovaniya Laplasa, Nauka, M., 1974
[8] Beiker Dzh., Greivs-Morris P., Approksimatsii Pade, Mir, M., 1986 | MR
[9] Bruin M. G., Saff E. B., Varga R. S., “On the zeros of generalized Bessel polynomials”, Indagationes mathematicae, 43:1 (1981), 1–25 | MR
[10] Zakian V., “Properties of $I_{mn}$ and $J_{mn}$ approximants and applications to numerical inversion of Laplace transforms and initial value problems”, J. Math. Analys. and Appl., 50:1 (1975), 191–222 | DOI | MR | Zbl
[11] Lebedeva A. B., Ryabov V. M., “Asimptoticheskie svoistva kvadraturnykh formul dlya chislennogo obrascheniya preobrazovaniya Laplasa”, Vestn. S.-Peterburgskogo un-ta. Ser. 1, 1998, no. 2(8), 44–49 | MR | Zbl
[12] Lebedeva A. B., Ryabov V. M., “Ob obraschenii preobrazovaniya Laplasa s pomoschyu ryadov Lagerra i kvadraturnykh formul”, Metody vychislenii, 19, Izd-vo S.-Peterburgskogo un-ta, SPb., 2001, 123–139
[13] Matveeva T. A., Ryabov V. M., “O nekotorykh svoistvakh kvadraturnykh formul chislennogo obrascheniya preobrazovaniya Laplasa”, Vestn. S.-Peterburgskogo un-ta. Ser. 1, 2002, no. 1(1), 16–23