Passports of specialty
Candidate of Sciences Specialty
05.13.00 – Informatics, Computational Technology and Control (05.13.18 – Mathematical Modeling, Numerical Methods, and Software Complexes)
(Approved by the Resolution of the Presidium of the Supreme Attestation Commission under the President of the Republic of Tajikistan dated January 31, 2024, №41/шд)
SPECIALTY CODE:
05.13.00 – Mathematical and Computer Modeling provides the foundation for research into mathematical and computer modeling, numerical methods, software complexes, and applied problems.
I. SCIENTIFIC FIELD FOR WHICH ACADEMIC DEGREES ARE AWARDED:
Technical Sciences, Physical and Mathematical Sciences
II. DEFINITION OF THE SPECIALTY:
The main components of this specialty include developing fundamental principles and applying mathematical modeling, numerical methods, and software complexes for solving scientific, technical, fundamental, and applied problems. A significant feature of this specialty is the requirement that research must simultaneously present original results in three areas: mathematical modeling, numerical methods, and software complexes.
III. AREAS OF RESEARCH:
1. Development of new mathematical modeling methods for objects and phenomena.
2. Development of qualitative and approximate analytical methods for investigating mathematical models.
3. Development, justification, and testing of efficient computational methods using modern computer technologies.
4. Implementation of efficient numerical methods and algorithms as problem-oriented software complexes for computational experiments.
5. Comprehensive investigation of scientific and technical problems using modern technologies in mathematical modeling and computational experimentation.
6. Development of mathematical methods and algorithms for validating the adequacy of mathematical models based on real-world experimental data.
7. Development of mathematical methods and algorithms for interpreting experimental data through mathematical models.
8. Development of computer and simulation modeling systems.
9. Models, methods, and algorithms for designing, analyzing, transforming, verifying, and testing software and software systems.
10. Models, methods, algorithms, languages, and software tools for organizing software and software systems interactions.
11. Symbolic computation software systems.
12. Human-computer interfaces; methods, algorithms, and software tools for computer graphics, visualization, image processing, virtual reality systems, and multimedia communication.
13. Models and methods for creating parallel and distributed data processing programs and systems.
14. Models, methods, algorithms, and software infrastructure for globally distributed data processing.
15. Forecasting methods and algorithms for evaluating effectiveness, quality, and reliability of complex systems.
16. Development of methods and algorithms for solving problems in system analysis, optimization, management, decision-making, and information processing.
17. Development of criteria and models for evaluating effectiveness in system analysis, optimization, management, decision-making, and information processing.
18. Methods and algorithms for intelligent support in decision-making across technical, economic, biological, medical, and social systems.
19. Methods for pattern recognition, cluster analysis, neural networks, fuzzy technologies, decision rules, and soft computing in heterogeneous database analysis.
20. Development of computer methods and models for describing, evaluating, and optimizing information processes and resources.
21. Technical support for information systems and processes, including hardware for data collection, storage, transmission, and presentation.
22. Linguistic support for information systems and processes.
23. Development of decision support systems based on databases and knowledge bases for predictive modeling.
24. Research and development of requirements for hardware and software for telecommunication systems.
25. Principles of organization and technologies for database and knowledge management systems.
26. Development of new internet technologies, including methods for secure internet usage.
27. Automated information systems and resources for various applications.
28. Document management systems and information security measures.
29. Technical, mathematical, and organizational solutions for information protection and security.
30. Automation of control and testing.
31. Models and methods for describing and optimizing information flows and cognitive models for human-computer interaction.
32. Quality and effectiveness evaluation of algorithms and software for AI and machine learning systems.
33. Development of specialized mathematical, algorithmic, and software solutions for AI and machine learning.
34. Methods for collecting large data sets for AI and machine learning.
35. Mathematical research in statistics, logic, algebra, topology, and functional analysis for AI and machine learning.
36. Application of neural networks and artificial intelligence methods for non-destructive control and diagnostics.
37. Application of artificial intelligence in brain and cognitive function research.
IV. RELATED SPECIALTY CODES AND NAMES:
6D060100 – Mathematics;
6D060200 – Informatics;
6D070300 – Information Systems (by industry);
6D070400 – Computing Equipment and Software.
V. DISTINCTIONS FROM RELATED SPECIALTIES:
A dissertation belongs to other specialties if dominated by:
- Methods from function theory and functional analysis – specialty "Real, Complex, and Functional Analysis";
- Issues concerning existence and uniqueness in differential equations – specialty "Differential Equations, Dynamical Systems, and Optimal Control";
- Research methods for equations in mathematical physics – specialty "Mathematical Physics";
- Theoretical aspects of numerical methods – specialty "Computational Mathematics";
- Programming and computational automation – specialty "Mathematical and Software Support for Computers and Information Systems";
- Theories and methods for automation of technological processes – specialty "Automation and Control of Technological Processes";
- Physical, chemical, technical, economic, or other specific aspects – corresponding specialties within the official nomenclature.
FIELD OF SCIENCE:
- Technical Sciences (research matching at least three points of this passport);
- Physical and Mathematical Sciences (research matching at least three points, with predominant use of mathematical methods, producing results as new mathematical methods, computational algorithms, or fundamental laws characterizing the studied objects).