The date of foundation:

The Department of Computational Mathematics was established in 1957. Its first head was Pr. Vladimir Ivanovich Krylov – academician, honoured scientists of USSR. Now the department is headed by Dr. Pavel Alekseevich Mandrik. The academic staff of the department consists of two Professors, nine Associate Professors and three Assistant Lecturers.

The department qualifies students in the "Mathematics modeling" and "Numerical methods" specializations of "Applied mathematics" specialty.

Staff: 2 Professors, 9 Associate Professors, 1 Senior Lecturer, 3 Assistants (including 2 Doctors of Sciences, 12 Candidates of Sciences)

Chair: Pavel A. MANDRIK - Associate Professor, Candidate of Physical and Mathematical Sciences.

Contact Information:

Belarus, 220030, Minsk,
4 Nezavisimosti Ave., room 310 of the main building
Tel. (+375-17)209-5532, 209-5063
E-mail: mmad@bsu.by

The department conducts research and teaching in the following areas of computational science:

• Construction and analysis of numerical methods for differential equations
• Numerical methods for problems of hydrodynamics, heat conduction and exchange

The department collaborates with the Institute of Analysis and Numerics, Otto-von-Guericke University , Magdeburg, Germany. The collaboration started in 1998. The main area of research is numerical solution of coupled problems of magnetic fluid mechanics in the presence of free surface.

The department professes the following educational courses.

General educational courses:

• Computational methods of linear algebra
• Methods of numerical analysis
• Numerical methods of mathematical physics

Special courses:

• Stepwise methods of numerical solution of ordinary differential equations
• Introduction to numerical solution of initial value problems
• Numerical methods with advanced properties of consistency between differential and difference problems
• Solution of discrete problems by Fourier method
• Numerical methods for stiff systems
• Difference schemes for heat conduction problems
• Difference schemes for nonlinear heat conduction problems
• Applied wavelet analysis
• Numerical solution of elliptic problems by Galerkin method
• Splines in computational mathematics
• Numerical methods for free boundary problems
• Mathematical modeling and numerical experiment
• Numerical methods of hydrodynamics
• Mathematical modeling of equilibrium capillary surfaces
• Explicit Runge–Kutta methods with extended stability domains
• Solution of polarization equations system
• Numerical experiment in physics

The list of typical term paper topics:

• Differential residual methods for initial value problems
• Multistage computational algorithms for numerical solution of initial value problems
• A method of computational mesh construction based on differential equations solving
• Iterative difference schemes for nonlinear heat conductivity problems
• Spline method for numerical modeling of shape of the equilibrium capillary surface
• Numerical modeling of nonlinear transfer
• A study of ordinary differential equations approximation methods
• Group properties of differential and difference equations
• Numerical methods for initial value problems which conserve the problem’s transformation group
• Numerical algorithms for initial value problems based on the steadying principle
• Numerical modeling of convection in square cavity
• The development of Sun’s internal structure model
• Numerical analysis of shape of the magnetic fluid free surface in the toroidal magnetic field
• The computation of equilibrium surface shape for the flat layer of magnetic fluid
• Comparative analysis of iterative methods for implicit methods implementation of the method of characteristics.

The list of typical graduate paper topics:

• Numerical solution of stiff systems using the differential residual principle
• Spectrally consistent computation of the matrix exponential function
• Numerical modeling of convection in porous media
• Numerical modeling of flow in a cavity
• Multistep difference schemes for the method of characteristics for hyperbolic systems
• Construction and numerical implementation of implicit difference schemes for the method of characteristics
• Hybrid algorithm of finite and boundary elements for nonlinear magnetostatics problem
• Numerical modeling of the magnetic fluid equilibrium shapes subject to diffusuion of ferromagnetic particles
• Numerical analysis of stability of a fluid in cylindrical capillary
• Numerical analysis of boundary layer influence on the admixture sedimentation
• Compound curves and splines
• The analysis of multilayer schemes for the fourth order ODE describing the equilibrium of spring beam
• The analysis of ways to improve the consistency of difference schemes
• Variational difference schemes with specific basis functions
• Special collocation methods for the second order ODEs