Research

The research interests of members of our department include the following topics:

• Cartography

• Combinatorics and graph theory

• Computational geometry and visualization

• Fuzzy sets

• Nonstandard analysis

• Nonstandard models

• Numerical methods

• Quantum logic

• Statistics

Cartography

• Vajsáblová Margita

  • modelling of spatial data, cartographic projections, analyzis of data accuracy

Combinatorics and graph theory

• Širáň Jozef

  • algebraic and topological graph theory (05Cxx)

• Knor Martin

  • distance in graphs (05C12), (iterated) line graphs and their generalizations (05Cxx)

• Šiagiová Jana

  • algebraic graph theory (05C25)

Computational geometry and visualization

• Krivá Zuzana

Fuzzy sets

• Kalina Martin

  • fuzzy derivatives (04A72), fuzzy continuity (26A24), fuzzy functions (26E35)

• Mesiar Radko

  • fuzzy numbers, fuzzy logic, fuzzy sets

• Stupňanová Andrea

  • fuzzy sets arithmetics

Nonstandard analysis

• Kalina Martin

  • nonstandard measure theory, alternative set theory (03E70), (03H15), (03H20), (28Axx), (28Exx), (60A99), (60F05)

Nonstandard models

• Komorníková Magda

  • aggregation operators

• Mesiar Radko

  • triangular norms, non-aditive measures and integrals, aggregation operators

• Rückschlossová Tatiana

  • aggregation operators

Numrical methods

• Bystrický Róbert

  • numerical modelling of seizmic waves propagation and solving problems of seismic response, nonlinear problems, interaction of block foundation with subsoil

• Handlovičová Angela

  • numerical analysis of nonlinear partial diferential equations, modelling of free boundary problems with interface motion - Stefan problem, image processing, morphologicaly invariant mean curvature flows (65M20), (65M15), (65M60), (65M12), (35K55), (35K20)

• Mikula Karol

  • numerical analysis of nonlinear partial equations, modelling of free boundary problems, evolution of curves and surfaces governed by curvature, image processing, generalized Perona-Malik "anisotropic" diffusion models, morphologicaly invariant mean curvature flows

    Some examples of current work.

Quantum logic

• Nánásiová Oľga

  • orthomodular lattices, d-set, states, observables, conditional probability

Statistics

• Kalická Jana

  • time series (62M20), parametric and nonparametric estimations(62M10)

• Komorníková Magda

  • time series and applications, experiment optimisation