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, dr Bartosz Majewski together with dr hab. Łukasz Lenart, prof. UEK has received the NCN OPUS 29 research grant "Bayesian Econometrics of Cyclical Fluctuations – Construction of New Models and Their Application in the Analysis of Business Cycle Dynamics in Selected European Union Countries". Grant to be implemented in 2026-2029.
- Dr. hab. Anna Dudek, prof. AGH, has received a prestigious grant from the French foundation A*MIDEX (Initiative d'excellence Aix-Marseille). Professor Anna Dudek's project “Nonstationary models for biological signals” will be funded from 2025 to 2028.
- Dr Jacek Szybowski is the investigator in NCN grant no. 2024/55/B/HS4/00860 (as part of the OPUS 28 call) under the supervision of dr hab. Konrad Kułakowski (AGH University of Krakow, Department of Applied Computer Science). The project “Development and construction of new group decision-making methods based on pairwise comparisons and reference data” will be implemented in the period 01.06.2025-11.06.2027. The project budget is PLN 329,168.
- 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 Jacek Szybowski is the investigator in NCN grant no. 2021/41/B/HS4/03475 under the supervision of dr hab. Konrad Kułakowski (AGH University of Krakow, Department of Applied Computer Science). The project “Security of decision-making methods based on comparing alternatives in pairs” will be implemented in the period 21.01.2022-20.01.2024. The project budget is PLN 296,698.
- 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.
- Dr Jacek Szybowski is the investigator in NCN grant no. 2017/25/B/HS4/01617 under the supervision of dr hab. Konrad Kułakowski (AGH University of Krakow, Department of Applied Computer Science). The project “The quality of the decision data and the impact of their quality on the recommendation in the pairwise comparisons method” will be implemented in the period 19.01.2018-31.12.2019. The project budget is PLN 319,847.
- 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.
- Dr Jacek Szybowski’s participation in the grant FCT (Fundação para a Ciência e Tecnologia, Portugal) no PTDC/MAT/098871/2008 under the supervision of dr. Paweł Pilarczyk (Centro de Matemática na Universidade do Minho in Braga, Portugal). The project „Computational Cohomology and Applications” will be implemented in the period 14.11.2011-15.03.2013.
- Dr Jacek Szybowski’s participation in the grant KBN nr 2 P03A 041 24 under the supervision of prof. Marian Mrozek (Institute of Mathematics of the Jagiellonian University). The project „Computational topology and dynamics” will be implemented in the period 2003-2006.