Publikace

Publications

Závěrečné práce

Theses

1. Metody pro řešení diferenciálních rovnic s nejistotami v parametrech - Béreš, Michal. Disertační práce. Vedoucí práce: Briš, Radim. Vysoká škola báňská – Technická univerzita Ostrava. Fakulta elektrotechniky a informatiky, 2023.
2. Methods for the solution of differential equations with uncertainties in parameters - Béreš, Michal. Doctoral Thesis. Supervisor: Briš, Radim. Technical University of Ostrava, Faculty of Electrical Engineering and Computer Science, 2023.



3. Řešení optimalizačních inženýrských úloh pomocí efektivních simulačních metod - Béreš, Michal. Diplomová práce. Vedoucí práce: Briš, Radim. Vysoká škola báňská - Technická univerzita Ostrava. Fakulta elektrotechniky a informatiky, 2015.
4. Cross-entropy method as a tool for solution of optimization problems - Béreš, Michal. Master's Thesis. Supervisor: Briš, Radim. Technical University of Ostrava, Faculty of Electrical Engineering and Computer Science, 2015.



5. Metoda Monte Carlo jako nástroj pro řešení inženýrských problémů - Béreš, Michal. Bakalářská práce. Vedoucí práce: Briš, Radim. Vysoká škola báňská - Technická univerzita Ostrava. Fakulta elektrotechniky a informatiky, 2013.
6. Monte Carlo Method as a Tool for Solving Engineering Problems - Béreš, Michal. Bachelor's Thesis. Supervisor: Briš, Radim. Technical University of Ostrava, Faculty of Electrical Engineering and Computer Science, 2013.

Články v časopisech

Journal Articles

1. Computational methods for boundary optimal control and identification problems - Axelsson, O., Béreš, M., Blaheta, R.. Mathematics and Computers in Simulation, 2021.
2. Bayesian inversion for steady flow in fractured porous media with contact on fractures and hydro-mechanical coupling - Blaheta, R., Béreš, M., Domesová, S., Horák, D.. Computational Geosciences, 2020.
3. A comparison of approaches for the construction of reduced basis for stochastic Galerkin matrix equations - Béreš, M.. Applications of Mathematics, 2020.
4. A comparison of deterministic and Bayesian inverse with application in micromechanics - Blaheta, R., Béreš, M., Domesová, S., Pan, P.. Applications of Mathematics, 2018.
5. The stochastic galerkin method for darcy flow problem with log-normal random field coefficients - Béreš, M., Domesová, S.. Advances in Electrical and Electronic Engineering, 2017.
6. Solution of inverse problems using bayesian approach with application to estimation of material parameters in darcy flow - Domesová, S., & Béreš, M.. Advances in Electrical and Electronic Engineering, 2017.

Sborníkové příspěvky

Proceedings

1. Numerical Methods for Simulation of Coupled Hydro-Mechanical Processes in Fractured Porous Media - Béreš, M., Blaheta, R., Domesová, S., Horák, D.. Lecture Notes in Civil Engineering, 2021.
2. Efficient Implementation of the Bayesian Inversion by MCMC with Acceleration of Posterior Sampling Using Surrogate Models - Domesová, S., Béreš, M., Blaheta, R.. Lecture Notes in Civil Engineering, 2021.
3. An efficient reduced basis construction for stochastic galerkin matrix equations using deflated conjugate gradients - Béreš, M.. Lecture Notes in Electrical Engineering, 2020.
4. Karhunen-Loéve decomposition of isotropic Gaussian random fields using a tensor approximation of autocovariance kernel - Béreš, M.. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2018.
5. A Bayesian approach to the identification problem with given material interfaces in the darcy flow - Domesová, S., Béreš, M.. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2018.
6. Acceleration of multi-factor Merton model monte carlo simulation via importance sampling and GPU parallelization - Béreš, M., Briš, R.. Applied Mathematics in Engineering and Reliability - Proceedings of the 1st International Conference on Applied Mathematics in Engineering and Reliability, ICAMER 2016, 2016.
7. A study of stochastic FEM method for porous media flow problem - Blaheta, R., Béreš, M., Domesová, S.. Applied Mathematics in Engineering and Reliability - Proceedings of the 1st International Conference on Applied Mathematics in Engineering and Reliability, ICAMER 2016, 2016.