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Computation of Definite Integral Over Repeated Integral Cover

Computation of Definite Integral Over Repeated Integral

Open Access
|Mar 2019

Abstract

The tasks involving repeated integral occur from time to time in technical practice. This paper introduces the research of authors in the field of repeated integrals within the required class of functions. Authors focus on the definite integral over repeated integral and they develop a tool for its computation. It involves two principal steps, analytical and numerical step.

In the analytical step, the definite integral over a repeated integral is decomposed into n integrals and then the Cauchy form is used for further rearrangement. Numerical step involves Gauss type integration slightly modified by the authors. Several examples illustrating the operation of both analytical and numerical steps of the method are provided in the paper.

DOI: https://doi.org/10.2478/tmmp-2018-0026 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195
Language: English
Page range: 141 - 154
Submitted on: Sep 17, 2018
Published on: Mar 12, 2019
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2019 Katarína Tvrdá, Mária Minárová, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.