Features and Application of Deterministic Analytical Modeling

Features and Application of Deterministic Analytical Modeling

ISBN13: 9781668489475|ISBN10: 1668489473|ISBN13 Softcover: 9781668489482|EISBN13: 9781668489499
DOI: 10.4018/978-1-6684-8947-5.ch007
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MLA

Radi Petrov Romansky and Nikolay Lyuboslavov Hinov. "Features and Application of Deterministic Analytical Modeling." Deterministic and Stochastic Approaches in Computer Modeling and Simulation, IGI Global, 2023, pp.171-229. https://doi.org/10.4018/978-1-6684-8947-5.ch007

APA

R. Romansky & N. Hinov (2023). Features and Application of Deterministic Analytical Modeling. IGI Global. https://doi.org/10.4018/978-1-6684-8947-5.ch007

Chicago

Radi Petrov Romansky and Nikolay Lyuboslavov Hinov. "Features and Application of Deterministic Analytical Modeling." In Deterministic and Stochastic Approaches in Computer Modeling and Simulation. Hershey, PA: IGI Global, 2023. https://doi.org/10.4018/978-1-6684-8947-5.ch007

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Abstract

The main subject of discussion is deterministic analytical modeling, including its features and possible applications. The first section discusses the general organization of analytical modeling and presents its main implementation in the direction of deterministic, stochastic, and combined approaches. The second section deals with the use of mathematical approximations as an apparatus for discrete model investigation, presenting two sub-parts: the analytical approximation with a mathematical description and the application of analytical modeling in the study of power electronic converter. The next two sections are devoted to the application of graphs and Petri nets for the realization of deterministic models and their investigation, with presenting selected examples for illustration. The last section of the chapter discusses pseudo-stochastic analytical modeling, which is a deterministic variant of the description of processes that are stochastic in nature. This part makes a transition to the stochastic approaches in the next chapter.

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