The following problems are being investigated by the department:

• design of information-analytical and geoinformational systems for creation
  of land ownership cadaster and city-building cadaster, natural resources monitoring
  and protection;
• design ad development of information systems for corporate networks basing
  upon “client-server” architecture and intranet technologies;
• finite element method, a posteriori error estimators, lower and upper bounds of error estimations, h– and hp-adaptive finite element schemes;
• development and implementation of grid-projective schemes for computational
  experiments for non-stationary problems:
  • interaction of electromagnetic and mechanical fields within pyro- and piezoelectric;
  • interaction of temperature and mechanical fields within elastic bodies and shells;
  • acoustic interaction of liquids with elastic bodies and shells;
  • solute migration in atmosphere, surface, subsurface and soil water.

Topics of scientific researches of members of the department:

• Grid-projective schemes for solution of variational problems for parabolic and hyperbolic equations; a posteriori error estimators, lower and upper bounds of error estimations, h– and hp-adaptive finite element schemes (prof. H. Shynkarenko);
• Design of geoinformational systems for city-building cadaster management; development of interval algorithms for solution of boundary value problems, (prof. P. Vengerskyi);
• Projecting of information-analythical systems of land resources monitoring and management; mathematical modeling of flexible multi-layer shell behavior (associate prof. P. Vahin);
• Design of information systems based upon “client-server” architecture ; object-oriented technologies of implementation of numerical schemes, mathematical modeling of slope and riverbed flowing (associate prof. V. Vovk );
• Design and develpment of information systems; grid-projective methods for the problems of dissipative acoustics (associate prof. V. Horlatch).