Problems and Methods of Mathematical and Computer Modeling for Scientific Research

Authors

Oleksii Kolomiitsev
National Technical University "Kharkiv Polytechnic Institute", Ukraine
https://orcid.org/0000-0001-8228-8404
Volodymyr Panchenko
National Technical University "Kharkiv Polytechnic Institute", Ukraine
https://orcid.org/0000-0003-3364-3398
Valentyn Noskov
National Technical University "Kharkiv Polytechnic Institute", Ukraine
https://orcid.org/0000-0002-7879-0706
Dmytro Lysytsia
National Technical University "Kharkiv Polytechnic Institute", Ukraine
https://orcid.org/0000-0003-1778-4676

Keywords:

simulation modeling, mathematical modeling, complex systems, experimental design, anova, regression analysis, correlation analysis, model validation, GPSS World, software tools, model classification, continuous-time markov process modeling, statistical modeling, information technology, software, computer system

Synopsis

The textbook examines the theoretical foundations and practical aspects of modeling as an effective method for the scientific study of complex processes and systems. The aim of the textbook is to develop in students a deep understanding of model classification, stages of the modeling process, and principles for constructing valid and robust mathematical and statistical models, as well as to provide practical skills in the application of modern simulation software tools. Separate chapters are devoted to experimental design, as well as methods of correlation, regression, and analysis of variance (ANOVA) for simulation results. The use of the GPSS World simulation language is described in detail.

It is intended for students specializing in F7 'Computer Engineering' in both full-time and part-time study formats. It will also be useful for information technology specialists, postgraduate students, and anyone involved in the theory and practice of mathematical modeling.

Author Biographies

Oleksii Kolomiitsev, National Technical University "Kharkiv Polytechnic Institute"

Doctor of Technical Sciences, Professor, Honored Inventor of Ukraine, Professor of the Department of Computer Engineering and Programming

Volodymyr Panchenko, National Technical University "Kharkiv Polytechnic Institute"

Senior Lecturer of the Department of Computer Engineering and Programming

Valentyn Noskov, National Technical University "Kharkiv Polytechnic Institute"

Doctor of Technical Sciences, Associate Professor, Professor of the Department of Computer Engineering and Programming

Dmytro Lysytsia, National Technical University "Kharkiv Polytechnic Institute"

Candidate of Technical Sciences, Associate Professor of the Department of Computer Engineering and Programming

Обкладинка

Published

April 16, 2026

Details about this monograph

ISBN-13 (15)

978-617-05-0615-3