Mathematical modeling, numerical methods and program systems
Qualification given: Researcher in the field of Engineering sciences
Academic degree: PhD in Engineering sciences
Faculty: Faculty of Information Technologies
Department: Department of Computing Systems and Networks
Forms of study: full-time – 3 years, part-time – 4 years, independent degree seekers – 5 years
Mathematical modeling, numerical methods and program systems is a field of science in which technologies of mathematical modeling are developed for solving fundamental and applied problems in natural science, technical and economic systems, processes and phenomena.
Areas of study
- Mathematical modeling of systems, processes, and phenomena.
- Development of numerical methods and algorithms for solving modeling problems.
- Use of computer models for predicting the evolution of systems.
- Computational experiments and research on scientific and technical issues.
- Application of mathematical modeling in automated design, planning, and management.
- Adaptation of mathematical models to observational data and physical experiments. Interpretation of physical experiments and forecasting based on mathematical models.
Professional competencies
- Independent scientific research in mathematical modeling, development of new numerical methods and algorithms.
- Analysis and implementation of mathematical models of complex systems and processes.
- Proficiency in modern methods of mathematical and computer modeling.
- Development and optimization of numerical algorithms with limited resources.
- Analysis of accuracy, convergence, and stability of numerical methods, verification and validation of mathematical models.
- Utilization of mathematical statistics, optimization theory, and decision-making.
- Implementation of mathematical models and numerical methods in technological and production processes.
Graduate destinations
- Scientific research activities.
- Teaching at higher education institutions.
- Research Assistant in institutes and universities involved in the development of mathematical models, numerical methods, and software.
- Expert analyst in the field of applied mathematics and numerical methods.
- Developer of educational programs and teaching materials on mathematical modeling and numerical methods. Lead mathematician-engineer, chief specialist in mathematical modeling in research and design organizations.
- Technical consultant for the application of mathematical modeling methods and numerical methods in applied problems.
- Manager of innovative projects related to the development and implementation of advanced computational technologies.
