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General courses
Special courses
- Asymptotic methods in the theory of singular perturbations We study the analytical methods of investigation of singularly perturbed problems. In the first part of the course deals with the problem of boundary and internal layers (as for ordinary differential equations and for partial differential equations), which develops methods for constructing asymptotic expansions of solutions. The second part of the course is devoted to the study of the foundations of the averaging method on the example of systems in a standard format and systems with fast phase
- Introduction to Numerical Methods
- Computational methods in magnetohydrodynamics and gas dynamics 1 Mathematical models for the problems of gas dynamics and the application of numerical methods to solve them. Difference schemes of gas dynamics.
- Computational methods in magnetohydrodynamics and gas dynamics 2 Mathematical models for the problems of gas dynamics and the application of numerical methods to solve them. Difference schemes of gas dynamics.
- Additional chapters of numerical methods Application of numerical methods for various applications
- Linear and nonlinear functional analysis
- Mathematical problems of diffraction theory 1 Mathematical models of wave processes in non-uniform environments, their full mathematical justification. Main analytical and numerical algorithms of creation of models and their research
- Mathematical problems of diffraction theory 2 Mathematical models of wave processes in non-uniform environments, their full mathematical justification. Main analytical and numerical algorithms of creation of models and their research
- Mathematical modeling of the plasma
- The method of differential inequalities Develop qualitative research methods of nonlinear differential equations of elliptic and parabolic type. Based on the method of monotone iterations prove theorems of comparison, allowing us to investigate the existence of solutions of nonlinear equations. As examples, the various applications described by reaction-diffusion equations.
- Nonlinear functional analysis
- Inverse problems in geophysics Reading for students of the Department of Physics of the Earth
- Fundamentals of algebra and differential geometry
- Fundamentals of categories theory 2 Theory of categories, functors, natural transformations, free objects, adjoint functors, monads (triples), algebraic theory, data converters.
- Parabolic equations Parabolic equations
- Application of the spectral theory of operators in mathematical physics
- Methods of finite differences in mathematical physics
- Stochastic differential equations
- Theory of destructions of the nonlinear equations
- Functional analysis
- Numerical methods
- Extreme problems The course presents the basic concepts of convex programming with applications in the theory of ill-posed problems
Facultative courses
Spec. Postgraduate Courses
