Science & Research | Faculty of Applied Physics and Mathematics at the Gdańsk University of Technology

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Science & Research

Scientific reserach conducted in the DE&MA Division

  • Topological invariants in the theory of dynamical systems and their applications.
  • The theory of fixed points and periodic.
  • Mathematical methods in cardiology.
  • Measures of complexity and applications.
  • The use of differential equations in the modeling of biological phenomenon:
    • structural models of diffusion and Feller's boundary conditions;
    • modeling the expression of protein gene Hes1;
    • the existence and uniqueness of solutions of the McKendrick-von Foerster equation with a condition of renewal.
  • Modeling of the thermal ablation by means of the bio-heat conduction equation.
  • Lensing wave X-rays.
  • Hydrodynamics.
  • Krylov subspace methods.
  • Numerical modeling of problems for partial differential equations using methods of differential.
  • Numerical analysis of problems for functional partial differential equations:
    • implicit differential method;
    • weighted method of differential;
    • convergence; 
    • stability;
    • error analysis.
  • Nonstandard numerical methods
  • Fractional differential equations - numerical analysis.
  • Hybrid dynamical systems and low-dimensional dynamics in neuroscience.