PhD program
Computational Sciences and Statistics

Computational Sciences and Statistics

QUALIFICATION

  • Scientific and pedagogical direction - Doctor of Philosophy (PhD)

MODEL OF GRADUATING STUDENT

ON1. Conduct scientific research and obtain new fundamental and applied results, critically analyze and evaluate the results obtained, formulate sound conclusions even in conditions of incomplete or limited information;
ON2. Write scientific articles in foreign and domestic journals and inform the wide scientific community of advanced topics and research results at international and national conferences, seminars and workshops, critically assessing their significance;
ON3. Write independent scientific projects and applications, setting a theoretical or practical computational problem or a solution method that is relevant to society, implement and correct, if necessary, the process of independent scientific research;
ON4. Determine the direction and intensity of their professional development in the chosen scientific field, be able to work in a team and contribute to the development of the team and society as a whole.
ON5. Conduct research in the field of methodology of computational experiments based on approximating differential equations by methods of finite differences, volumes and / or elements.
ON6. Conduct a fundamental analysis of computational methods and difference schemes for convergence and correctness, including in the case of high-performance algorithms.Create and use correct structured, curvilinear, unstructured computational grids in computational problems;
ON7. To formulate the task of statistical analysis and evaluation in the chosen subject area, to select and apply statistical tools and software. To master new methods of applied and mathematical statistics for their use in analytical work:
ON8. Develop parallel computing algorithms for engineering problems and implement them in high-performance systems, develop quantum computing algorithms.
ON9. Use the methods of mathematical statistics on real data for the selection of parameters, adaptation and testing of computing systems based on real experiments
ON10.Use data mining methods based on deep learning, reinforcement learning to adapt the computational algorithm to effectively predict results

Program passport

Speciality Name
Computational Sciences and Statistics
Speciality Code
8D05405
Faculty
Mechanics and Mathematics

disciplines

Academic writing
  • Number of credits - 2
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is to form the skills of competent communication, the correct presentation of ideas and writing scientific papers The purpose of the discipline: mastering the rules and methods of writing scientific articles, textbooks and dissertation research.

Advanced Statistics
  • Number of credits - 5
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The course is aimed at teaching mathematical methods of data analysis and statistical modeling for solving various problems in applied areas. In general, the course provides the necessary knowledge and skills for the effective use of data analysis and machine learning methods in their scientific work.

Curvilinear adaptive meshes
  • Number of credits - 5
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - Purpose: familiarization with the fundamental concepts and methods of using curvilinear adaptive grids in numerical methods for solving differential equations and other problems of mathematical modeling. The main emphasis is on the development and application of algorithms that allow the construction and efficient use of curvilinear grids.

Scientific Research methods
  • Number of credits - 3
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of studying the discipline is the formation of doctoral PhD students ideas about the methods of scientific research in robotics and mechatronics, the formation of research competence and their willingness to apply the knowledge and skills in organizing their own scientific research and the organization of scientific research in their professional activities. As part of the study of the discipline are considered: Methodology and methodology of scientific research in robotics and mechatronics; The main methods of finding information for scientific research; Planning of research work; Mathematical foundations of experimental design; Procedures for the preparation, execution and defense of doctoral dissertations.

Data for 2022-2025 years

disciplines

Big Data & High Performance Statistical Computing
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - Purpose: teaching doctoral students methods and technologies for processing, analyzing and interpreting large amounts of data using high-performance computing and statistical methods. They will be able to use various technologies and programming languages to work with big data and methods that require significant computing resources.

Finite element methods
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - Purpose: to form advanced knowledge in the field of the finite element method for research work. As a result, doctoral students should: be able to develop algorithms, conduct research and analyze the results of scientific experiments, master the skills of research work in the field of the finite element method.

Intelligent systems for monitoring and forecasting processes
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - Purpose: to acquaint with the principles, methods and applications of intelligent systems for monitoring and forecasting various processes. The course is aimed at developing students' understanding of the theoretical foundations and practical methodologies used in the development, implementation and use of intelligent systems in monitoring and forecasting tasks.

Quantum Computing
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of studying the course "Quantum Computing" is to expand the knowledge of doctoral students in the field of quantum computing and quantum technologies, as well as to develop skills in designing and programming complex quantum algorithms to solve more complex problems.

Data for 2022-2025 years

INTERNSHIPS

Pedagogical
  • Type of control - Защита практики
  • Description - Formation of practical, educational-methodical skills of conducting lectures, seminars, creatively apply scientific, theoretical knowledge, practical skills in teaching activities, conduct training sessions in the disciplines of the specialty; own modern professional techniques, methods of training, use in practice the latest theoretical, methodological advances, make educational, methodological documentation.

Research
  • Type of control - Защита практики
  • Description - The purpose of the practice: gaining experience in the study of an actual scientific problem, expand the professional knowledge gained in the learning process, and developing practical skills for conducting independent scientific work. The practice is aimed at developing the skills of research, analysis and application of economic knowledge.

Data for 2022-2025 years