RUS  ENG
Full version
JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2017 Volume 57, Number 11, Pages 1782–1787 (Mi zvmmf10634)

On the construction of quadrature rules for Laplace transform inversion

A. V. Lebedeva, V. M. Ryabov

Faculty of Mathematics and Mechanics, St. Petersburg State University, Staryi Peterhof, St. Petersburg, Russia

Abstract: For Laplace transform inversion, a method for constructing quadrature rules of the highest degree of accuracy based on an asymptotic distribution of roots of special orthogonal polynomials on the complex plane is proposed.

Key words: Laplace transform, Laplace transform inversion, quadrature rules, asymptotic distribution of nodes.

UDC: 519.644.5

Received: 01.06.2016

DOI: 10.7868/S0044466917110102


 English version:
Computational Mathematics and Mathematical Physics, 2017, 57:11, 1751–1756

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024