The Department of mathematical modeling was formed in 1987 and renamed
as the Department of mathematical and computer modeling in 2019.
Summary
The
department prepares highly qualified specialists in the field of applied
mathematics and informatics, who have fundamental mathematical training and
advanced qualifications in the field of programming and modern information
technologies. Graduates of the department are able to participate in
mathematical and computer modeling of physical, technological, economic,
biological and other processes and the development of system and application
software. Particular attention in the preparation of graduates is given to the
methods of mathematical and computer modeling and their application in
research, design and production activities. Considerable attention is paid to
modern methods of storage, transmission and processing of information
(including mathematical methods of cryptography), network technologies, and the
use of parallel computing systems.
Areas
of research: differential equations in partial derivatives and
integro-differential equations, computational mathematics and mathematical
modeling, including development of the theory of correct solvability of
boundary and initial-boundary value problems, qualitative and asymptotic
properties of solutions, construction and computer implementation of
approximate methods for solving applied problems. Other areas of research:
discrete and probabilistic mathematical models, their computer implementations,
discrete mathematic, estimates of the bounds for complexity of algebraic
transformations and operations in cryptographic protocols, coding systems, and
pattern recognition systems; implementation of algorithms of modern computer
algebra; random processes; high-speed implementations of graph models.
Research areas
- non-classical boundary value problems of mathematical physics and methods for their solving
- mathematical modeling of discrete systems: implementation of large algebraic structures in computer algebra, coding, cryptography, decision making and diagnostics
- statistical methods of digital information processing
- intelligent recognition systems, databases
Recent projects
Project of the Russian Science
Foundation 19-11-00033 (2019-2023) “Systems of differential and
integro-differential equations with non-standard boundary conditions and
junction conditions arising in applications. Solvability, qualitative and
asymptotic properties of solutions”.
Project FSWF-2020-2022
(2020-2022) in the framework of the state assignments of the Russian Ministry
of Science and Education “Development of methods for receiving and processing
signals and the study of non-standard models that arise in natural science and
technical applications”
Features
Work with students is a priority concern of the department. The main task of the department is to form the high professional skills of graduates, allowing them to find work in the direction of their interest in accordance with their qualifications. Therefore, studies in the first two years include basic training in various subjects, and starting from the 3rd year, students spend a lot of time individually with a supervisor, improving their knowledge in the chosen subject area. Some of them participate in scientific projects of the department. Many students, having a good mathematical background, take part in all-Russian and international olympiads in mathematics and programming, winning prizes. Curators work at the department to adapt freshmen to new realities.
Unique equipment
The educational laboratory of the department has two computer classes, equipped with modern computers
Educational
programs
Bachelor
- Code, direction name, profile
01.03.02 Applied mathematics and informatics, Mathematical modeling
Master
- Code, name of the direction, master's program
01.04.02 Applied Mathematics and Informatics, Mathematical and
Computer modeling
PhD
01.06.01 Mathematics and mechanics
- Code, name of scientific specialty
1.1.2. Differential Equations and Mathematical Physics
1.1.6. Computational Mathematics