Current Problems of Applied Mathematics and Computer Systems

Name: Current Problems of Applied Mathematics and Computer Systems | CPAMCS 2023
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CPAMCS 2023

Anatoly Alikhanov Andrei Tchernykh Mikhail Babenko Irina Samoylenko(Editor)

Springer (Publisher)

1st Edition

Published on 1. September 2024

XII, 653 pages

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978-3-031-64010-0 (ISBN)

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Anatoly Alikhanov has obtained his Ph.D. in Physical and Mathematical Sciences. He is Vice-Rector for Scientific and Research work of the North Caucasus Federal University. He is the Head of the Regional Scientific and Educational Mathematical Center "North Caucasian Center for Mathematical Research." Earlier, he worked as Visiting Member of the dissertation council at Southeast University, Department of Mathematics, Nanjing, China. In 2016, he was invited for an internship in the field of numerical methods for solving fractional differential equations at the Nanjing University of China. ?. Alikhanov is Member of the Editor Board of the Fractional Calculus and Applied Analysis Journal and Reviewer of over 30 reputable scientific journals in computational mathematics.

Andrei Tchernykh , Full Professor in computer science at CICESE Research Center (Centro de Investigación Científica y de Educación Superior de Ensenada), Ensenada, Baja California, Mexico and Adjunct Professor at ISP RAS - Institute for System Programming of the Russian Academy of Sciences, Russia. He is chairing "Parallel Computing Laboratory" at CICESE, Mexico and "International Laboratory of Problem-Oriented Cloud Computing" at South Ural State University, Russia. He gained industrial experience as supercomputer design team leader in Advance Technical Products Corp, and Supercomputer Design Department of Electro-Mechanical Enterprise. He received Ph.D. degree in Computer Science from the IPMCE in 1986. He is a founding member of the Mexican Supercomputer Society (RedMexSu), a Regional President of Global Association for Academic Supervision (GAAS) Latin America, and member of the Mexican National Researchers System SNI level II. He has led a number of research projects and grants in different countries funded by CONACYT, NSF, ANII, Ochoa, INRIA, FNR, UC MEXUS, DAAD, LAFMI, AMEXCID, ANII, etc. He is awarded Global Scholars Fellow at Tsinghua University (China), German Academic Exchange Service fellowship at University of Göttingen, Dortmund University, Technische Universität Clausthal (Germany), and Severo Ochoa fellowship at Barcelona Supercomputing Center (Spain). He is an editorial board member of several journals and served as a guest editor for special issues including Mobile Networks & Applications (MONET) Springer, International Journal of Approximate Reasoning, Elsevier.

Mikhail Babenko is the Head of the Department of Computational Mathematics and Cybernetics North-Caucasus Federal University. He is a member of the scientific school named after Professor Chervyakov "Neuromathematics, modular neurocomputers and high-performance computing". He received PhD in Mathematical modeling, numerical methods, and software. Mikhail took internships in CICESE Research Center in México; Le Quy Don Technical University, Hanoi, Vietnam in 2015; University of Lorraine, Nancy, France in 2017. Research area: Security, Cryptography, Residue Number System, Big Data, Internet of Things, Fog-Edge-Cloud Computing, Trust, Uncertainty, Scalable and Reliable Systems, Elliptic Curve.

Irina Samoilenko is PhD, Associate Professor at Informational Systems Department, Stavropol State Agrarian University, Russia. She received M.S. degree in Applied Mathematics and Informatics, PhD in System Analysis, Control and Processing of Information in North-Caucasus Federal University. Irina is a researcher in North-Caucasus Centre for Mathematical Research, North-Caucasus Federal University. She is a member of Association of Scientific Editors and Publishers, Russia. She participated in international conferences and internships in Italy, Turkey, Romania and Czech Republic. Her research interests include wireless sensor networks, IoT, optimization tasks and mathematical modeling.

Content

Intro
Contents
About the Editors
Numerical Methods in Scientific Computing
On Diophantine Systems with Sum of Squares and Linear Form Satisfying a Congruential Condition of a Special Form
1 Introduction
2 Reduction of the Initial System of Diophantine Equations to a System Without a Congruential Condition
3 Lemmas on the Number of Solutions of Congruences for the Sum of Squares
4 Main Results on the Number of Solutions of the Diophantine System
5 Conclusion
References
Numerical Solution of the Problem of Sediment Transport Based on an Improved Version of the Alternating-Triangular Method with Improved Spectral Estimates
1 Introduction
2 Materials and Methods
2.1 Initial-Boundary Value Problem of Sediment Transport and Its Linearization on a Time Grid
2.2 Improved Alternating-Triangular Method for Solving the Difference Linearized Problem of Sediment Transport
2.3 Improvement of the Estimate ?1 of the Alternating-Triangular Method and the Expected Decrease in the Number of Iterations Due to This
3 Results
4 Conclusion
References
Combined Regularization Method for Solving an Implicit Operator Equation of the First Kind
1 Introduction
2 Problem Statement
3 Regulation of the Solution of the Problem:
4 Conclusion
References
Forced Longitudinal Oscillations of Vertical Rods with Concentrated Mass
1 Forced Harmonic Longitudinal Vibrations
2 Forced Random Fluctuations
3 Conclusions
References
Method of Guaranteed Collision Avoidance with Multiple Unpredictable Target-Vessels
1 Introduction
2 Materials and Methods
2.1 Problem Formulation
2.2 Guaranteed Safe Trajectories Leading to the Target Waypoint
3 Simulation Results
4 Discussion
5 Conclusion
References
Computer-Oriented Lyapunov Stability Criteria for Systems of Nonlinear Ordinary Differential Equations
1 Introduction
2 Materials and Methods
3 Results
4 Discussion
5 Conclusion
References
Asymptotic Estimates of the Horizontal Wind Retrieval Accuracy from Lidar Remote Sensing Data
1 Introduction
2 Problem Statement
3 Technique of the Estimates Calculation
4 Estimates for Root-Mean-Square Retrieval Errors
5 Effect of Range on Retrieval Errors
6 Conclusion
References
Effect of Wind Field Deformation on the Wind Components Retrieval Accuracy from Lidar Measurements
1 Introduction
2 Problem Statement
3 Technique of the Estimates Calculation
4 Discussion
5 Conclusion
References
On Vibration of Multi-span Continuous Beam in View of Rotational Inertia
1 Introduction. Kinematically Excited Vibration by Harmonics
2 Kinematically Excited Oscillations Under Random Disturbances
3 Conclusion
References
Information and Computation Systems for Distributed Environments
Load Balancing Methods for Distributed Data Storage: Challenges and Opportunities
1 Introduction
2 Load Balancing
3 Load Balancing Methods
3.1 Round Robin
3.2 Least Connection
3.3 IP Hash
3.4 Weighted Round Robin
4 Results
5 Hybrid Method Load Balancing
6 Conclusion
References
Method for Detecting and Correcting Errors in Arithmetic Operations Based on Rank of a Number
1 Introduction
2 Method for Detecting and Correcting Errors in Arithmetic Operations
3 Method for Calculating the Rank of a Number
4 Conclusion
References
Toward Understanding Uncertainty in Fog-Cloud Computing for Big Data Storage and Processing
1 Introduction
2 Review of Existing Works
3 Uncertainty in Fog Computing
4 Approaches to Reduce Uncertainty
4.1 Data Fusion
4.2 Machine Learning
4.3 Probabilistic Methods
4.4 Knowledge Representation
4.5 Crowdsourcing
5 Towards Secure Fog Computing
6 Planning Under Uncertainty
7 Conclusions
References
Simulation of a Coaxial Resonator of a Frequency-Selective Device for Communication Systems, Radio Navigation and Radar
1 Introduction
2 Materials and Methods
2.1 Types of Coaxial Resonators
2.2 Analytical Models of Double CR
3 Results
4 Conclusion
References
Analytical Review of Orchestration Methods for Distributed Computing Systems Under Conditions of Dynamic Scaling
1 Introduction
2 Orchestration
3 Analitycal Rewiev
3.1 A Template-Based Orchestration
3.2 API Based Orchestration
3.3 Container Orchestration
3.4 Orchestration by Hand
3.5 Hybrid Orchestration
3.6 Math Modeling
3.7 Machine Learning
3.8 Game Theory
4 Results
5 Conclusion
References
Modeling of Density Properties of Subsiding Soils Under Explosive Impact
1 Introduction
2 Materials and Methods
3 Results
4 Discussion
5 Conclusion
References
Comparative Analysis of Error Correction Devices in Modular Redundant Codes
1 Introduction
2 Materials and Methods
2.1 Principles of Modular Redundant Codes Construction
2.2 Error Correction by the Method of Projections
2.3 Error Correction by the Error Interval Method
3 Results
4 Discussion
5 Conclusion
References
Estimation of the Solution of a Spatial Parabolic Equation Describing Anisotropic Geological Systems
1 Introduction
2 Materials and Methods
3 Results
4 Conclusion
References
Development of a Mathematical Model of the Software Solution «Bioeconomical Diagnostics of Health Protection»
1 Introduction
2 Materials and Methods
2.1 Calculation Formulas. First Rule
2.2 Calculation Formulas. RULE 2
2.3 Calculation Formulas. RULE 3
3 Results
4 Discussion
5 Conclusion
References
Fault Tolerant System for Data Storage, Transmission and Processing in Fog Computing Using Artificial Neural Networks
1 Introduction
2 Related Research
2.1 Internet of Things
2.2 Fog Computing
2.3 Artificial Neural Networks
3 System Design and Model
3.1 Fault Tolerant Data Management
3.2 Data Collector
3.3 Data Analyzer and Scheduler
3.4 Fault Tolerant Provider
3.5 Decision Maker
3.6 ANN Uses in Fault Tolerant Data Management
4 Conclusion
References
A 17ps Two Channel TDC System Based on XILINX ZYNQ 7000 SoC
1 Introduction
2 Principle of the TDC
2.1 Tapped Delay Line
2.2 Coarse Counter
2.3 Implementation of TDC System
3 Results
4 Discussion
5 Conclusion
References
Investigation of the Rank of Numbers Represented in the Residue Number System
1 Introduction
2 Investigation of the Rank of a Number in a Residue Number System
3 Modification of the Rank Calculation Method
4 Sign Detection of a Number in the RNS
5 Simulation of Rank Calculation Methods
6 Conclusions
References
Power Consumption Modelling for Symmetric Block Encryption Algorithms
1 Introduction
2 Materials and Methods
2.1 Power Consumption Modelling
3 Results
3.1 Advanced Encryption Standard Power Consumption Modelling
3.2 PRESENT Cipher Power Consumption Modelling
3.3 Kalina Cipher Power Consumption Modelling
4 Conclusion
References
Recognition of Particle Impacts in Acoustic Fixing of Dust Flow Using an Artificial Neural Network
1 Introduction
2 Measurements in the Field
3 Proposed Neural Network Method for Audio Signal Analysis
3.1 Database Design
3.2 Proposed Artificial Neural Network
4 Conclusion
References
Data Center Load Balancing Method Based on Nonlinear Network Traffic Analysis
1 Introduction
2 Materials and Methods
2.1 Problem Statement
2.2 Research Methodology
3 Results
4 Discussion
5 Conclusion
References
Methodology for Assessing the Security Risks of Cyber-Physical Systems
1 Introduction
2 Unmanned Aerial Vehicle Architecture and Risk Assessment
2.1 Unmanned Aerial Vehicle Architecture
2.2 Risk Assessment Methods
3 Development of a Methodology for Assessing Risks
3.1 Risk Assessment Methodology
3.2 Results
4 Discussion
5 Conclusion
References
Analytical Review of Classification and Clustering Methods of Cyber Attacks Based on Data Mining and Neural Network Approach
1 Introduction
2 Related Research
3 Analysis of Methods
4 Discussion
5 Conclusion
References
Simulation of the Information Transmission System with Code Division of Channels with Increased Structural Stealth
1 Introduction
2 Development of the Structure of an Information Transmission System with Code Division of Channels and an Algorithm for Secure Information Exchange
3 Development of a Model of an Information Transmission System with Code Division of Channels with Increased Structural Secrecy
4 Conclusion
References
Hypercomplex Numbers in Cryptosystems
1 Introduction
2 HCN in Symmetric Ciphers
2.1 HCN-Based Hill Cipher Modifications
2.2 Feistel Ciphers
2.3 Use of Involutory Matrices
3 Asymmetric Cryptosystems
3.1 Hybrid Cryptosystem over Quaternions
3.2 Scheme Based on the Computational Quaternion Conjugacy Problem
3.3 NTRU-Like Public Key Ciphers
4 Conclusion
References
Analysis of an Existing Method for Detecting Adversarial Attacks on Deep Neural Networks
1 Introduction
2 Materials and Methods
2.1 Stage 1: Normal Neural Network Training
2.2 Stage 2: Distorted Neural Network Learning
3 Results
4 Conclusion
References
High-Throughput Computing Approach to Modeling of Public Transport Routes
1 Introduction
2 Routes of Public Transport
3 High-Throughput Computing Approach to Modeling of Public Transport Routes
4 Conclusion
References
Desktop Grid as a Service: Cloud Service of High-Throughput Computing
1 Introduction and Related Work
2 Desktop Grid as a Service Concept
3 Logical View
4 Workflows
5 Multi-user Access
6 Conclusion
References
The Possibilities of Using Neural Networks in Literature Lessons at School
1 Introduction
2 Methods
2.1 Gates Methods
2.2 Polovkin's Methods
3 Programs
4 Future Works
5 Conclusion
References
Data Control in Distributed Self-organizing Sensor Network Under Speciffic Deployment Condition
1 Introduction
2 Materials and Methods
2.1 Security Requirements of Wireless Sensor Mesh Networks
2.2 Denial of Service in Wireless Sensor Mesh Networks
2.3 DoS Attacks in Various Layers of Wireless Sensor Mesh Networks. Physical Layer
2.4 Link Layer of a WMSN
2.5 Network Layer
3 Results
3.1 Identification of Abnormal Traffic at the Data Level Based on Machine Learning Methods and Software Implementation of the Sensor
4 Discussion
References
Data Analysis for Interindustry Studies
1 Introduction
2 Research Method
3 Results
4 Data Analysis
5 Dynamic Model of the Input-Output Balance and Its Digitizing
6 Conclusion
References
The Method of the Northwest Angle and the Method of the Least Element for Solving the Transport Problem
1 Introduction
2 Materials and Methods
2.1 Northwest Angle Method
2.2 Minimum Element Method
2.3 Comparison
3 Results
4 Conclusion
References
High Performance Computing and Artificial Intelligence
Multirecurrent Neural Network in Discrete Form
1 Introduction
2 Discrete Model of Multirecurrent Neural Network
3 Experimental Modeling of a Discrete MRNN
4 Conclusion
References
Pneumonia Detection in Chest X-Rays Using XGBoost Based Meta-learner with Deep Feature Extractors
1 Introduction
2 Materials and Methods
2.1 ResNet50: A Deep CNN Model
2.2 Vision Transformer
2.3 Feature Reduction and Meta-learning
3 Experiments and Results
3.1 Dataset Description
3.2 Base Learners and Influence of Hyperparametes
4 Discussion
5 Conclusion
References
A Combination of Soft Attention-aided CNN Models using Dempster-Shafer Theory for Skin Cancer Classification
1 Introduction
2 Materials and Methods
2.1 Dataset
2.2 Data Augmentation
2.3 Soft Attention Module (SAM)
2.4 ResNet50
2.5 InceptionResNetV2
2.6 DenseNet201
2.7 Training of Base Learners
2.8 Loss Function
2.9 Dempster-Shafer Theory Based Classifier Combination
3 Results
3.1 Preparation of Training and Test Set
3.2 Evaluation Metrics
3.3 Quantitative Analysis
4 Discussion
5 Conclusion and Future Scope
References
Study of Information Transmission in a Binary Symmetric Communication Channel Using BCH Coding
1 Introduction
2 Simulation of Data Transmission in a Binary Symmetric Communication Channel
3 Results
4 Discussion
5 Conclusion
References
Comparative Analysis of Fast Matrix Multiplication Methods on Different Datatypes
1 Introduction
2 Materials and Methods
2.1 Direct Matrix Multiplication
2.2 Strassen Method
2.3 Strassen-Winograd Method
3 Results
4 Conclusion
References
Current Problems of Mathematical Education
Features of the Formation of Professional Competencies in the Field of Applied Mathematics and Informatics
1 Introduction
2 Materials and Methods
3 Results
4 Discussion
5 Conclusion
References
The Use of the Project Method in the Formation of Students' Research Culture
1 Introduction
2 General Work Plan
3 Finding a Definite Integral by the Monte Carlo Method
4 Calculation of the Values of the Laplace Function by the Monte Carlo Method
5 Conclusions
References
Technology of Testing Based on Mathematical Models
1 Introduction
2 Materials and Methods
3 Results
4 Discussion
5 Conclusion
References
Educational Possibilities of Computer Teaching Aids in Professionally Oriented Mathematical Training of a Specialist in a Technical University
1 Introduction
2 Materials and Methods
3 Results
4 Discussion
5 Conclusion
References
The Use of Innovative Pedagogical Technologies to Improve the Effectiveness of Mathematical Training in Specialized Classes
1 Introduction
2 Materials and Methods
2.1 Application of Developmental Learning
2.2 The Holistic Nature of the Process of Teaching Mathematics
2.3 Using a Recursive Systems Approach in Teaching Mathematics
3 Results
4 Discussion
5 Conclusion
References
Unified State Examination to Assess Mathematical Literacy
1 Introduction
2 Materials and Methods
2.1 Unified State Exam
2.2 Programmer for International Student Assessment
3 Results
4 Discussion
5 Conclusion
References
Mathematical Modeling of Nonlinear Physical Phenomena
On the Oscillation Frequency of Internal Gravity Waves in the Adiabatic Approximation
1 Introduction
2 Materials and Methods
3 Results
4 Discussion
5 Conclusion
Appendix A. Brent-Väisälä Buoyancy Frequency Under the Condition of Adiabaticity of the Disturbance
Appendix B. Brent-Väisälä Buoyancy Frequency Under the Boussinesq Condition
References
Mathematical Modeling of Large-Scale Turbulent Structures in Coastal Systems Based on the LES Approach
1 Introduction
2 Materials and Methods
2.1 Schematized Geometries of Shallow Water Flow
2.2 3D LES Model Description
2.3 Boundary Conditions
2.4 Input Data
3 Discussion
4 Conclusion
References
Development and Research of Turbulent Exchange Semi-empirical Models for Vortex Resolution Methods Using Expedition Data
1 Introduction
2 Materials and Methods
2.1 Vortex Resolution Methods
2.2 Spatial Filtering of ADCP-Probe Expedition Data
2.3 Calibration of Semi-empirical Vertical Turbulent Exchange Model
3 Discussion
3.1 Comparison of RANS and LES Simulation Results
3.2 Waves and Vertical Turbulent Exchange
4 Conclusion
References
The Compromise Solution in the Optimal Assignment Method
1 Introduction
2 Materials and Methods
2.1 Problem Statement
2.2 Example of Problem
2.3 Solution of the Problem
3 Conclusion
References
Mathematical Modeling of Electromagnetic Wave Interference During Oblique Irradiation of Plane-Layered Dielectrics of Natural Origin
1 Introduction
2 Materials and Methods
3 Results
4 Discussion
5 Conclusions
References
Modeling Self-similar Packet Flow Transformation to Deterministic Using Kulback-Leibler Divergence for Network Optimization
1 Introduction
2 Materials and Methods
3 Results
4 Discussion
5 Conclusions
References
Modeling Fractal Dynamics of "Warm" Thunderstorms Electrical Parameters with Various Electrification Components
1 Introduction
2 Materials and Methods
2.1 Problem Statement
2.2 Hydrometeors and Drops Electrization Modeling in the Ascending Air Flow in View of the Fractal Structure
3 Results
4 Discussion
5 Conclusion
References
Wind Profile Evaluation by Using Result of Wave Forecast Model
1 Introduction
2 Materials and Methods
2.1 Wind Wave Interaction
2.2 Parametric Model of the WBL
2.3 Model Grids and Boundary Condition
2.4 Model Calculation Algorithm
3 Results
4 Discussion
5 Conclusion
References
Development of Methods and Algorithms for Movement Stabilization Vessel When Rolling Outboard Equipment Based on Neuro-Fuzzy Output
1 Introduction
2 Materials and Methods
3 Results
4 Conclusion
References
Turbulence Generation in Breeze Circulation
1 Introduction
2 Materials and Methods
2.1 System of Equations
2.2 Turbulence Coefficients
2.3 Starting and Boundary Conditions
2.4 Methods of Solution
3 Results
4 Discussion
5 Conclusion
References
Estimation of Feedback Between Synoptic Scale Vortices and Upper Ocean Layer
1 Introduction
2 Model Description
3 Experiments and Results
4 Discussion and Conclusion
References
The Gabor Function Application for Interpretation of Atmospheric Gravity Waves in Satellite images
1 Introduction
2 Materials and Methods
3 Results
4 Discussion
5 Conclusion
References
Modeling of the Correction to the Interphase Energy for the Polarization of Surface Ions at the Cesium-Nonpolar Organic Liquid Boundary
1 Introduction
2 Materials and Methods
3 Results
4 Discussion
5 Conclusion
References
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Current Problems of Applied Mathematics and Computer Systems

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