In: Tatra Mountains Mathematical Publications, vol. 72, no. 2
Katarína Tvrdá - Mária Minárová
Detaily:
Rok, strany: 2018, 141 - 154
Jazyk: eng
Kľúčové slová:
repeated integral, repeated integral decomposition, Cauchy form for repeated integrals, Gauss and Lobatto quadrature and cubature
Typ článku: Scientific/Mathematics
O článku:
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.
Ako citovať:
ISO 690:
Tvrdá, K., Minárová, M. 2018. Computation of Definite Integral over Repeated Integral. In Tatra Mountains Mathematical Publications, vol. 72, no.2, pp. 141-154. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2018-0026
APA:
Tvrdá, K., Minárová, M. (2018). Computation of Definite Integral over Repeated Integral. Tatra Mountains Mathematical Publications, 72(2), 141-154. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2018-0026
O vydaní:
Vydavateľ: MU SAV
Publikované: 20. 12. 2018