THESES TOPICS

FOR ACADEMIC YEAR 2020/2021

COMPUTATIONAL AND APPLIED MATHEMATICS

  • 3d Elastic Shell Mixed Finite Elements - doc. Ing. Dalibor Lukáš, Ph.D.
  • Reliability analysis based on Bayesian methods - prof. Ing. Radim Briš, CSc.
  • Applied Graph Theory - doc. Mgr. Petr Kovář, Ph.D.
  • Discrete dynamical systems on a lattice - doc. RNDr. Marek Lampart, Ph.D
  • Discrete Optimization Methods - doc. Mgr. Petr Kovář, Ph.D.
  • Optimal trajectory planning for an industrial robot - doc. Ing. Petr Beremlijski, Ph.D.
  • Coupling of Multigrid and Domain Decomposition Methods - doc. Ing. Dalibor Lukáš, Ph.D.

COMPUTATIONAL SCIENCES

  • Algorithms of numerical linear algebra for new parallel architectures - doc. Mgr. Vít Vondrák, Ph.D. 
  • Discrete dynamical systems on a lattice - doc. RNDr. Marek Lampart, Ph.D
  • Quantitative and qualitative characteristic of the solution of differential equations - doc. RNDr. Marek Lampart, Ph.D.
  • Quantitative characteristic of the solution of difference equations - doc. RNDr. Marek Lampart, Ph.D.
  • Detection methods of dynamic properties of mechanical systems - doc. RNDr. Marek Lampart, Ph.D.
  • Modeling of molecular ions formation in cold rare-gas plasmas - prof. RNDr. René Kalus, Ph.D.
  • Parallel solution of inverse problems - doc. Mgr. Vít Vondrák, Ph.D.
  • Scheduling sport tournaments - doc. Mgr. Petr Kovář, Ph.D.
  • Production control in glass industry via artificial intelligence approches - prof. RNDr. René Kalus, Ph.D.
  •  Scalable solvers for large, dynamic contact problems with friction - prof. Ing. Tomáš Kozubek, Ph.D.
  • Visualization of scientific outputs from the solution of large-scale problems in real time - prof. Ing. Tomáš Kozubek, Ph.D.

NUMERICAL AND COMPUTATIONAL MATHEMATICS

  • Backward stability in high-performance variants of Krylov subspace methods - Erin Claire Carson - DP4M6
  • Error analysis of mixed precision neural network computations - Erin Claire Carson - DP4M6
  • Problem partitioning for high-performace computations of systems of equations - Miroslav Tůma - DP4M6
  • Convergence analysis of Krylov subspace methods - Petr Tichý - DP4M6
  • Guaranteed error bounds in eigenvalue problems for elliptic differential operators - Tomáš Vejchodský - DP4M6

MATHEMATICAL AND COMPUTER MODELING

  • Analysis and implementation of iterative methods for solving saddle-point systems in applications - Miroslav Rozložník

BIOPHYSICS AND PHYSICS OF NANOSTRUCTURES

  • Exciton modeling in two-dimensional MXene semiconductors - František Karlický
  • Structure of fermionic wavefunctions in occupation and real space - Matúš Dubecký
  • Monte Carlo simulations of molecules adsorbed on 2D materials - František Karlický, René Kalus