Mathematical Modeling and Supercomputer Technologies

​Computational methods for mathematical models analysis.- Dynamics of Honing of Deep Cylindrical Holes with Memory Effects in the Frictional Interaction.- Application of Elastoplastic Model to the Simulation of the Low-Speed Impact on an Ice Plate.- On the Period Length Modulo D of Sequences of Numerators and Denominators of Convergents for the Square Root of a Non-Square D.- Linearizing Algorithm for Solving a Nonlinear Initial Boundary Value Problem of Radiation Transfer in Spatially Multidimensional Domains.- Empirical Analysis of the Dynamic Processes of Node Appearance and Disappearance in Temporal Network.- Dynamics of a Multi-Piston Vibropercussion Mechanism Equipped with a Reaction Weight.- Parametric Perturbations of a Duffing-Type Equation with Nomonotonic Rotation.- Competitiveness Function for the Generalized Model Abrams-Strogatti in the Case of an Inconstant Community Numbers.- Parallel Implementation of a Computational Algorithm Based on the Explicit Iterative Scheme for Modeling Subsonic Reacting Gas Flows.- On the Theory of Fluctuations of Strongly Nonlinear (Vibro Impact) Systems.- A Network Evolution Model with Addition and Deletion of Nodes.- Quantitative Study on the Friendship Paradox in Networks with Power-Law Degree Distribution.- Computation in optimization and optimal control.- An Algorithm for Finding the Global Extremum of a Partially Defined Function.- Evolutionary Global Optimization Survival of the Fittest Algorithm.- Path Tracking Control of a Spherical Robot With Pendulum-Like Driver.- Mathematical Model of Processing Batches of Raw Materials Taking into Account Ripening Process.- Artificial intelligence and supercomputer simulation.- Isolation of ECG Sections Associated with Signs of Cardiovascular Diseases Using the Transformer Architecture.- Synchronous Activity in Small Ensembles of Inhibitory Coupled Phi-Neurons.- The Concept of Hippocampal Activity Restoration Using Artificial Intelligence Technologies.- Numerical Modeling of Water Ice Impact Destruction.- Dilated W-net for Geological Inversion Problems.- The Choice of Measure of Observational Error in the Prediction of Epileptiform Activity.- Astrocyte Controlled SNN Dynamic Induced by Sensor Input.- Experimental Data Compression for GPU-Based Solution of Inverse Coefficient Problem for Vibrational Testing Data.- Spiking Reservoir Neural Network for Time Series Classification.