High Performance Computing Research Group

The HPC team works on extremely exact and fast solutions of homogenous differential equations, nonlinear ordinary and partial differential equations, stiff systems, large systems of algebraic equations, real time simulations and corresponding software and hardware (parallel) implementations.

Research interests

  • Development of dynamic math models from basic principles
  • Selection of numerical integration algorithms to secure accuracy and stability
  • Special hardware design
  • Special software design
  • Graphical interface
  • Stiff systems analyzes
  • Design of control systems
  • Simulation of electronic circuits
  • Simulation of mechanical systems
  • Partial differential equations solving

Cooperation

The new approach to the simulation of dynamic systems, distinguished by a high accuracy and speed of solving differential equations, which is especially suitable for parallelization has been the subject of interest of several companies and universities from abroad: University of Auckland (prof. J. Butcher), University of Pelloponese (prof. T. Simos), ETH Zurrich (prof. R. Jeltsch), University of Geneve (prof. Hairer), Imperial Collage of London (prof. J. Cash), University of Glamorgan (prof. K. Al-Begain), Applied Dynamics International (J. Baynham), Rapid Data Ltd.(B. Havranek), University of Roma (prof. Maceri), University of Vienna (prof. Breitenecker, prof. Kozek), University of Michigan (prof. Howe), University of Lyngby (prof.Thompsen).

Supporting circumstances

The work of the HPC team is related to the scientific conception of department, which is now, following the latest trends in the world, focused on parallel and distributed computations and systems.

The members of the HPC team are available for consulting in:

  • Development of dynamic math models from basic principles
  • Selection of numerical integration algorithms to secure accuracy and stability
  • Special hardware design
  • Special software design
  • Graphical interface
  • Stiff systems analyzes
  • Design of control systems
  • Simulation of electronic circuits
  • Simulation of mechanical systems
  • Partial differential equations solving

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