Randomized numerical algorithms approximating solutions of ordinary differential equations
2021/41/N/ST1/00135
Keywords
Descriptors
- ST1_016: Analiza numeryczna
- ST1_013: Rachunek prawdopodobieństwa i statystyka matematyczna
Panel
ST1 – Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics
Host institution
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie, Wydział Matematyki Stosowanej
Voivodeship: małopolskie
Principal investigator (from the host institution)
Number of co-investigators in the project: 2
Call
PRELUDIUM 20 – announced on 2021-03-15
- Amount awarded
- 122 000 PLN
- Project start date
- 2022-01-21
- Project end date
- 2025-01-20
- Project duration
- 36 months (the same as in the proposal)
- Project status
- Project settled
Project description
Download the project description in a pdf file
Note — project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.
Information in the final report
Publication in academic press/journals (3)
-
Convergence and stability of randomized implicit two-stage Runge-Kutta schemes
- Authors:
- Tomasz Bochacik, Paweł Przybyłowicz, Łukasz Stępień
- Academic press:
- BIT Numerical Mathematics (year: 2025, volume: 65, pages: 7), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s10543-024-01050-9 – link to the publication
-
A note on the probabilistic stability of randomized Taylor schemes
- Authors:
- Tomasz Bochacik
- Academic press:
- Electronic Transactions on Numerical Analysis (year: 2023, volume: 58, pages: 101-114), Publisher: Kent State University and Johann Radon Institute (RICAM)
- Status:
- Published
- DOI:
- 10.1553/etna_vol58s101 – link to the publication
-
On the properties of the exceptional set for the randomized Euler and Runge-Kutta schemes
- Authors:
- Tomasz Bochacik
- Academic press:
- Advances in Computational Mathematics (year: 2023, volume: 49, pages: 14), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s10444-023-10012-8 – link to the publication