Textbook in PDF format

This volume gathers selected papers presented at the ICMSQUARE 2023 - 12th International Conference on Mathematical Modeling in Physical Sciences held in Belgrade, Serbia from August 28–31, 2023. This proceedings offers a compilation of cutting-edge research, which aims to advance the knowledge and development of high-quality research in mathematical fields related to physics, chemistry, biology, medicine, economics, environmental sciences, and more. Annually held since 2012, the ICMSQUARE conference serves as a platform for the exchange of ideas and discussions on the latest technological trends in these fields. This book is an invaluable resource for researchers, academicians, and professionals in these areas seeking to stay up-to-date with the latest developments in mathematical modeling.
International Scientific Committee
Preface
Mathematical Methods in Physical and Engineering Applications
Single and Multi-material Topology Optimization of Continuum Structures: ABAQUS Plugin
Adaptive Filtering of Distributed Data Based on Modeling the Perception Mechanisms of Living Sensory Systems
A Method for Fast and Robust Sungular Spectrum Analysis
An Algorithm for Non-negative Leslie Matrices
Statistical Approach to the Gompertz Growth Model and the Underlying Timescales
On 4-dimensional Hom-Lie Algebras
Optimal PD-PD and State Feedback Control of Underactuated Ball and Beam System with Uncertainty and Disturbances
Are Referees Unfair to Away Teams? Evidence from the Premier League
The Use of Twins in Isotopic Analysis
Metaheuristic Approaches to Tune PID Controller for Ball on Plate System
Frequency Criterion for the Existence of Sliding Processes in Control Systems with an Arbitrary Variable Structure
Least Squares for Generalized Gauss–Laplace Distribution of the Error in Certain Nonlinear Regressions with Perpendicular Offsets
On the Influence of Absorption on the Spatial Spectrum of Radio Waves Propagation in the Polar Ionosphere
Computational Bar Size Optimization of Single Layer Dome Structures Considering Axial Stress and Shape Disturbance
Algorithmic Feature Selection and Dimensionality Reduction in Signal Classification Tasks
Two-Terminal Reliability of the K4-Ladder—Revisited
Comparative Analysis of Authentication Using Formant Features of Vowels and Consonants
Hidden and Singular Attractors in Nonlinear Systems of Differential Equations
Complex Systems and Complex Networks
Nonlinear Features and Hybrid Optimization Algorithm for Automated Electroencephalogram Signal Analysis
Properties of Model Networks Generated by Modified Small-World Scale-Free Fractal Tree Algorithm
Slow-Fast Dynamical Systems with a Load Variation
The Problem of Premature Convergence in Engineering Optimization Problems
Multiple Fuzzy Soft Graphs Based on Maps and Consider Their Applications in Decision-Making
Cross-Border Blockchain Transactions as a Tool for Adapting the National Economy of the Russian Federation to International Sanctions
Sociophysics and Econophysics—Mathematical Models of Human Behaviour and Economics
Remote Control of Mobile Robotic System Over Web-Based Interface for Supporting People with Physical Disabilities
Methodology for Development of Virtual Reality Based Resources for Education
Non-euclidean Geometries and Arts in the Beginning of the Twentieth Century: An Interdisciplinary Approach for High School Students
The Impact of Sanctions Pressure on the Stability and Prospects for the Development of the National Economy of the Russian Federation
Methodology for Assessing the Impact of Changes in Transnational Cash Flow on GDP Growth (on the Example of the Russian Federation)
The Impact of Trading Environments on Commodity Futures: Evidence from Biofuel Feedstocks’ Network
Finite Element and Meshfree Methods
Natural Convection Flow in an Inclined Wavy Porous Medium in the Presence of an Inclined Periodic Magnetic Field
Topics in Mathematical Physics
Pseudogeometric Version of the Traveling Salesman Problem, Its Application in Quantum Physics Models and Some Heuristic Algorithms for Its Solution
Solution to Infinity Problem of Scattering Matrix Using Time-Evolution Operators Without Needing Renormalization
Nonlinear Loading and Damping of a Single Degree of Freedom Oscillator
Correction for the Classical Conditions for a Collision in Three-Body System Using General Relativity and Machine Learning
A Novel Way of Calculating Scattering Integrals
Study of Linear Stability for Cylindrically Symmetrical States of Dynamic Equilibrium of Two-Component Vlasov–Poisson Plasma
Ranking of Linear Spaces in Generating a Hierarchy Between Concepts
Physical Modeling Using Stochastic Differential Equations
Monte Carlo Solution of Semi-linear Helmholtz Boundary Value Problem
Strongly Entangling Neural Network: Quantum-Classical Hybrid Model for Quantum Natural Language Processing
COVID-19 and Virus Spreading Mathematical Modeling
Mathematical Analysis and Optimal Strategy for a COVID-19 Pandemic Model with Intervention
Modeling Public Fear Under the Information Environment of Emergencies as COVID-19 and Wars
Chaotic Model for Development of HIV Virus
Stability Analysis of a COVID-19 SEIQR Model with Switching Constant Transmission Rates
Mathematical Modeling for Sustainable Development
Modeling Air Pollution Data Using a Generalized Birnbaum-Saunders Distribution with Different Estimation Procedures
Improved Routing for the In-Band Network Telemetry Problem
House Price Prediction Using XG-Boost Grid Search and Cross-Validation Methods
The Effectiveness of Submerged- Emerged Breakwaters: An Analytical and Numerical Study
Validation and Numerical Simulation of a Parabolic Trough Solar Collector Plant Using an Implicit Finite-Difference Scheme
Transition to Rational Models of Production and Consumption in the Framework of the UN Sustainable Development Goals
The Chemical Elements with Their Applications in Fuzzy Delta-Algebraic Systems