Аналіз ресурсоємних затрат на виконання обчислювальних процедур для задач газової динаміки: Fìz.-mat. model. ìnf. tehnol. 2018, 27:88-95

• Date: 2019
• Main Author: Lopuh, Nazariy
• Format: Article
• Language: Ukrainian
• Published: Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України 2019
• Subjects: числовий метод; нестаціонарний процес; ресурсоємні затрати; дробові похідні; схема Грюнвальда-Летнікова; метод Петрова-Гальоркіна
• Online Access: https://www.fmmit.lviv.ua/index.php/fmmit/article/view/118
• Journal Title: Physico-mathematical modeling and informational technologies

In work it is offered the analysis of resource-intensive costs of computing implementation procedures in realization of gas dynamics problems. The analysis is carried out for the computer model using the modified method of Petrov-Galerkin and Gryunvald-Letnikov's scheme for fractional derivants on time. Numerical experiments were made on the composite network systems from the GTS elements. It is investigated communications between parameters of adaptation of mathematical model. Paths of time optimization in computing procedures are offered. References Lopukh, N., Prytula, M., Pianylo, Ya., Savula, Ya. (2008). Alhorytmy rozrakhunku hidrodynamichnykh parametriv techii hazu v truboprovodakh (2). Visnyk Natsionalnoho universytetu «Lvivska politekhnika». Kompiuterna inzheneriia ta informatsiini tekhnolohii, 616, 159-165. Pyanylo, Ya. D., Prytula, M. G., Prytula, N. M., Lopuh, N. B. (2014). Models of mass transfer in gas transmission systems. MATHEMATICAL MODELING AND COMPUTING, 1(1), 84–96. Lopuh, N. B, Pyanylo, Ya. D. (2014). Numerical analysis of models with fractional derivatives for gas filtration in porous media. Journal of Coupled Systems and Multiscale Dynamics, 2(1), 15-19.https://doi.org/10.1166/jcsmd.2014.1035 Carmona, R., Ludkovski, М. (2005). Gas storage and supply guarantees: an optimal switching approach,” submitted to Management Science. Cook, Robert, D. (2002). Concept and Applications of Finite Element Analysis, fourth edition. John Wiley & Sons.