Equations of Mathematical Physics and their Applications

Professional area: 
4.5. Mathematics
Master of Science
MIA262113 Applied Mathematics
Master's programme: 
Equations of Mathematical Physics and their Applications
Form of education: 
Duration of full-time training (in semesters): 
Professional qualification: 
MSc in Applied Mathematics - Equations of Mathematical Physics and their Applications
Language of Instruction: 
Master's programme director: 
Assoc. Prof. Todor Popov, PhD

Focus, educational goals

The aim of this Master's programme is through serious theoretical and applied training to create professional workers for both theoretical research in the equations of mathematical physics and in their many applications. It is expected that the trained specialists will have the necessary flexibility, versatility of preparation and communicativeness. In response to the needs of the practice and the remarkably increased computing capabilities of modern computers, the need to master increasingly complex and efficient numerical methods for solving problems for linear and non-linear private differential equations was taken into account.

Training (knowledge and skills)

  • Numerous elective and compulsory courses in private differential equations also include a number of courses in numerical methods for such equations.
  • Mechanics courses are also included, where not only the physical models leading to the corresponding equations are studied, but also modern methods are provided for their solution and for the visualization of the results. The latter reflects the acknowledged fact that concepts, models, ideas and methods in the field of differential equations are widely used in other natural and social sciences, as well as in Biology, Economics, Industrial and Civil Engineering applications.
  • Students trained under this programme will have the opportunity, following an additional internal competition, to continue their studies in Western European universities with whom the program manager has concluded contracts under the Erasmus / Socrates exchange program or similar ones (see the FMI website conversion).

Professional competence

  • It is also envisaged that students will acquire skills for the realization of numerical methods of a supercomputer with parallel architecture as well as effective 3D visualization and computer simulation of real processes in the newly created laboratory at the FMI (Center for Simulation and Visualization of Business Processes) of the same subject of activity.
  •  A visualization and numerical simulation laboratory has been set up at the FMI. The construction will be carried out in cooperation with the Norwegian Priority Research and Development Group for Mathematical Modeling, Numerical Simulations and Computer Visualization. It is based on parallel architecture of Hewlett-Packard and active stereo technology. Part of the purpose of this laboratory is the visualization and simulation of non-linear Mathematical Physics tasks related to Engineering Design, Geometric Modelling and Fluid Dynamics.

Professional realization

  • This Master's programme is intended to complete both a theoretical thesis and a thesis based on applied research. The necessary flexibility is provided allowing the trainee to be profiled in his/her chosen field of Applied Mathematics, for which he/she will be advised and will receive assistance from qualified teachers. This will enable graduates of this programme to find their place to work both in the field of theoretical research and in units that are mainly interested in applications.
  • No less important goal is to obtain the necessary basis for independent research and further inclusion in a Doctoral programme at a university or another university (Bulgarian or foreign one).
  • After building this visualization laboratory, we hope that our students will become a modern Center for the development and realization of non-linear mathematical models and methods, combining analytical and asymptotic approaches, numerical simulations, three dimensional visualizations and comparison with experimental data

Contact information