The scientific activity of the Team is focused on broadly defined computational mathematics and analysis of large data sets and includes, among others:
- signal analysis,
- nonparametric statistics,
- numerical methods for ordinary and delayed differential equations in the time domain,
- numerical methods for stochastic differential equations,
- Monte Carlo methods,
- quantum algorithms, and stochastic simulations on GPU graphics cards,
- numerical linear algebra,
- robust stability of polynomials, matrices and fractional systems,
- multi-criteria decision making,
- computational complexity of deterministic and stochastic differential problems.
Grants and projects of the Team
- Dr. hab. Anna Dudek, prof. AGH, obtained the prestigious position of Chair of Excellence at the University Nanterre Paris in France for a period of 6 months in 2023, funded by the CY Initiative of Excellence.
- Grant "Randomized numerical algorithms approximating solutions of ordinary differential equations" to Tomasz Bochacik, M.Sc., under the PRELUDIUM 20 competition of the National Science Center. Grant implemented in 2022-2025, supervisor Dr. hab. Paweł Przybyłowicz, prof. AGH
- Dr. hab. Anna Dudek, prof. AGH obtained King Abdullah University of Science and Technology (KAUST) Research Grant "Statistical Analysis of Nonstationary Signals: High Dimensional Models Beyond Second-Order Statistics". Grant to be implemented in 2020-2023.
- International joint AGH-NVIDIA project on the construction and analysis of numerical algorithms and their efficient implementation on NVIDIA GPU cards. Persons involved: Dr. hab. Paweł Przybyłowicz, prof. AGH, Dr. Paweł Morkisz, M.Sc. Andrzej Kałuża. The project will be implemented in the period 07.2019 - 12.2021.- Members of the Team participate in the implementation of the task entitled. "Efficient numerical algorithms for problems of function approximation and solution of differential equations and stochastic differential equations and their implementation on GPUs" as part of the project "The best of the best! 4.0." implemented with funds from the Operational Program Knowledge Education Development and co-financed by the European Social Fund. Supervisors: Dr. hab. Paweł Przybyłowicz, prof. AGH, Dr. Paweł Morkisz, project contractors: Tomasz Bochacik, M.Sc., Natalia Czyżewska, Dawid Majchrowski, Marcelina Studzińska-Wrona. The project will be implemented in the period 06.2019 - 06.2020.
- Dr. hab. Paweł Przybyłowicz, prof. AGH and Dr. Maciej Goćwin contractors in the NCN grant "New Challenges for IBC", decision number DEC-2017/25/B/ST1/00945 under the leadership of Prof. Henryk Wozniak (WMIM UW). Grant implemented in the period 02.2018 - 02.2021.
- Dr. hab. Paweł Przybyłowicz, prof. AGH contractor in NCN grant "Stochastic approach to modelling microstructure evolution and properties of metals subjected to thermomechanical processing", decision number DEC-2017/25/B/ST1/00945 under the direction of Prof. Maciej Pietrzyk (WIMiIP AGH). Grant implemented in the period 02.2018 - 02.2021.
- MARIE SKŁODOWSKA-CURIE ACTIONS grant, Individual Fellowships (IF), EU grant no. 655394 - ResMet to Dr. Anna Dudek. Grant carried out in 2015-2017.
- Dr. Pawel Przybyłowicz and Dr. Maciej Goćwin contractors in the NCN grant "Continuous problems: optimality, complexity, susceptibility", decision number DEC-2013/09/B/ST1/04275 under the direction of Prof. Leszek Plaskota (WMIM UW). Grant carried out in the period 03.2014 - 03.2017.
- Grant to Anna Gryboś, M.Sc. under the Small Grants Fund of the Polish-Norwegian Research Cooperation program. SIREN project "Signal Reconstruction in Event-Driven Signal Processing" carried out from 2013 - 2015.