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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2006 Volume 46, Number 5, Pages 771–780 (Mi zvmmf464)

On quadratures related to Padé approximants for the inversion of the Laplace transform

V. M. Ryabov

Faculty of Mathematics and Mechanics, St. Petersburg State University, Universitetskii pr. 28, Peterhof, St. Petersburg, 198504, Russia

Abstract: Properties of the quadratures for the numerical inversion of the Laplace transform generated by Padé approximants of the exponential function are examined. In particular, quadratures of the highest possible degree of accuracy are considered.

Key words: Laplace transform, quadratures, Padé approximations.

UDC: 519.651

Received: 04.03.2005


 English version:
Computational Mathematics and Mathematical Physics, 2006, 46:5, 733–742

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© Steklov Math. Inst. of RAS, 2024