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Scientific direction
Computer simulation of stiff hybrid systems
Specification:
Development of mathematical, algorithmic and software for the analysis of dynamic and hybrid systems (HS). Using HS methodology in the subject applications: chemical kinetics and chemical-technological systems, electrical power systems, automation, mechanical, biological systems, and others.
Tasks:
- Development of tools for hybrid systems specification.
- Text specification of discrete-continuous behavior.
- Graphic language for hybrid systems specification.
- Domain-oriented graphical (automatic, power systems) and textual (chemistry) specification languages.
- Equivalence of specification languages.
- Event-continuous computer models.
- Algorithms for the numerical analysis of discrete and continuous behavior.
- Explicit numerical methods with stability control.
- (м,к)-methods of Rosenbrock type.
- Adaptive integration algorithms.
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- Automation construction of solvers.
- Correct HS events detection.
- Control of the computational process. Active experiment.
- Simulation results interpretation tools.
- Visualization of charts in the time and the phase sheets.
- Operations with the results of calculation: analysis and data compression.
- 3D visualization and animation tools.
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