Mathematical Modeling and Supercomputer Technologies

1. Front Matter

   Pages i-xii

   PDF

2. Computational Methods for Mathematical Models Analysis

   1. Front Matter

      Pages 1-1

      PDF

   2. Mathematical Rigor in Applied Mathematics Based on the Nonstandard Analysis

      • Evgeny Gordon

      Pages 3-18

   3. Algorithms and Scenarios of Online Decision Support System for Selection of the Distribution Laws of positive Random Variables

      • Ivleva Anna, Smirnov Sergey

      Pages 19-32

   4. Application of the Entropic Tilt Limiter to Solve the Gas Dynamics Equations Using the Implicit Scheme of the Discontinuous Galerkin Method

      • Victor F. Masyagin

      Pages 33-48

   5. Methods for Simulation the Nonlinear Dynamics of Gyrotrons

      • Evgeny Semenov, Vladimir Zapevalov, Andrey Zuev

      Pages 49-62

   6. Mathematical Modeling of Multidimensional Strongly Nonlinear Dynamic Systems

      • Irina V. Nikiforova, Vladimir S. Metrikin, Leonid A. Igumnov

      Pages 63-76

   7. Hierarchy of Models of Quasi-stationary Electromagnetic Fields

      • Aleksey Kalinin, Alla Tyukhtina

      Pages 77-92

   8. Numerical Simulation of the Wind Resonance of the Bridge Based on Scale-Resolving Approaches

      • Nikita Ageev, Olga Poddaeva, Pavel Churin, Anastasia Fedosova

      Pages 93-104

   9. Influence of Material Damage on the Parameters of a Nonlinear Flexible Wave Which Spread in a Beam

      • Dmitry M. Brikkel, Vladimir I. Erofeev

      Pages 105-116

   10. Chaotic Change of Extracellular Matrix Molecules Concentration in the Presence of Periodically Varying Neuronal Firing Rate

       • Maiya A. Rozhnova, Daniil V. Bandenkov, Victor B. Kazantsev, Evgeniya V. Pankratova

       Pages 117-128

   11. Quiescence-to-Oscillations Transition Features in Dynamics of Spontaneous Astrocytic Calcium Concentration

       • Maria S. Sinitsina, Susanna Yu. Gordleeva, Victor B. Kazantsev, Evgeniya V. Pankratova

       Pages 129-137

   12. An Architecture for Real-Time Massive Data Extraction from Social Media

       • Aigerim B. Mussina, Sanzhar S. Aubakirov, Paulo Trigo

       Pages 138-145

   13. Node Degree Dynamics in Complex Networks Generated in Accordance with a Modification of the Triadic Closure Model

       • Sergei Sidorov, Sergei Mironov, Alexey Faizliev, Alexey Grigoriev

       Pages 146-153

   14. On a General Approach for Numerical Solving Singular Integral Equations in the Scalar Problems of Diffraction by Curvilinear Smooth Screens

       • Aleksei Tsupak

       Pages 154-160

   15. Noise Influence on the Estimation of Characteristics of Intermittent Generalized Synchronization Using Local Lyapunov Exponents

       • Evgeniy V. Evstifeev, Olga I. Moskalenko

       Pages 161-168

   16. Application of the Kovacic Algorithm to the Problem of Rolling of a Heavy Homogeneous Ball on a Surface of Revolution

       • Alexander S. Kuleshov, Darya V. Solomina

       Pages 169-177

3. Computation in Optimization and Optimal Control

   1. Front Matter

      Pages 179-179

      PDF

   2. Optimal Rotor Stabilization in an Electromagnetic Suspension System Using Takagi-Sugeno Fuzzy Models

      • Aleksey V. Mukhin

      Pages 181-192

   3. Analysis of Indicators of Optimal Functioning of a Network of Hospitals, Taking into Account Errors of Observation Results

      • Mikhail Andreevich Fedotkin, Ekaterina Vadimovna Proydakova

      Pages 193-204

This book constitutes selected and revised papers from the 20th International Conference on Mathematical Modeling and Supercomputer Technologies, MMST 2020, held in Nizhny Novgorod, Russia, in November 2020. Due to the COVID-19 pandemic the conference was held online. 

The 25 full papers and 8 short papers presented in the volume were thoroughly reviewed and selected from the 106 submissions. They are organized in topical secions on ​computational methods for mathematical models analysis; computation in optimization and optimal control; supercomputer simulation. 

• adaptive control systems
• artificial intelligence
• automation
• computer hardware
• computer networks
• computer systems
• control systems
• differential equations
• distributed computer systems
• distributed systems
• fuzzy control
• fuzzy sets
• machine learning
• matrix algebra
• numerical methods
• optimization
• parallel processing systems
• process control
• signal processing
• telecommunication systems

• Lobachevsky State University of Nizhni Novgorod, Nizhny Novgorod, Russia

  Dmitry Balandin, Konstantin Barkalov, Iosif Meyerov

• Lobachevsky State University of Nizhni Novgorod, Nizhniy Novgorod, Russia

  Victor Gergel

Policies and ethics