Title | Multiphase and multilevel mathematical models and high-performance algorithms of domestic interdisciplinary software systems for oil production, oil refining and petrochemistry |
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Authors | I. M. Gubaydullin^{1, 2}^{1}Institute of Petrochemistry and Catalysis of the Russian Academy of Sciences ^{2}Ufa State Petroleum Technological University |

Annotation | The article presents the basic principles of mathematical modeling of chemicaltechnological processes. Such models are based on the equations of material and heat balance and kinetic laws of chemical reactions. Special interest is in the catalytic processes such as reforming, cracking and isomerization. There are the model of heat and mass transfer in the «network of cracks - matrix» system and a model of a nonstationary process of oxidative regeneration as examples of the developed models. There are the description of methods for studying complex models: the analysis of kinetic models and the sensitivity analysis. |

Keywords | mathematical modeling, numerical methods, chemical kinetics, differential equations, the inverse problem of chemical kinetics, the sensitivity analysis of parameters |

Citation | Gubaydullin I. M. ''Multiphase and multilevel mathematical models and high-performance algorithms of domestic interdisciplinary software systems for oil production, oil refining and petrochemistry'' [Electronic resource]. Proceedings of the XV International scientific conference "Differential equations and their applications in mathematical modeling". (Saransk, July 15-18, 2021). Saransk: SVMO Publ, 2021. - pp. 139-148. Available at: https://conf.svmo.ru/files/2021/papers/article02.pdf. - Date of access: 01.12.2022. |

**© SVMO, National Research Mordovia State University, 2022**

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