🔧На сайте запланированы технические работы
25.12.2025 в промежутке с 18:00 до 21:00 по Московскому времени (GMT+3) на сайте будут проводиться плановые технические работы. Возможны перебои с доступом к сайту. Приносим извинения за временные неудобства. Благодарим за понимание!
🔧Site maintenance is scheduled.
Scheduled maintenance will be performed on the site from 6:00 PM to 9:00 PM Moscow time (GMT+3) on December 25, 2025. Site access may be interrupted. We apologize for the inconvenience. Thank you for your understanding!

 

On the construction of quadrature rules for Laplace transform inversion


Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

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.

About the authors

A. V. Lebedeva

Faculty of Mathematics and Mechanics

Author for correspondence.
Email: a.v.lebedeva@spbu.ru
Russian Federation, Staryi Peterhof, St. Petersburg, 198504

V. M. Ryabov

Faculty of Mathematics and Mechanics

Email: a.v.lebedeva@spbu.ru
Russian Federation, Staryi Peterhof, St. Petersburg, 198504

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2017 Pleiades Publishing, Ltd.