Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Randomized numerical algorithms approximating solutions of ordinary differential equations

2021/41/N/ST1/00135

Keywords:

noisy information randomized algorithms explicit and implicit schemes minimal error mean-square stability asymptotic stability stability in probability point estimation confidence regions

Descriptors:

  • ST1_016:
  • ST1_013:

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

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Tomasz Bochacik 

Number of co-investigators in the project: 2

Call: PRELUDIUM 20 - announced on 2021-03-15

Amount awarded: 122 000 PLN

Project start date (Y-m-d): 2022-01-21

Project end date (Y-m-d): 2025-01-20

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Project description

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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)
  1. A note on the probabilistic stability of randomized Taylor schemes
    Authors:
    Tomasz Bochacik
    Academic press:
    Electronic Transactions on Numerical Analysis (rok: 2023, tom: 58, strony: 101-114), Wydawca: Kent State University and Johann Radon Institute (RICAM)
    Status:
    Published
    DOI:
    10.1553/etna_vol58s101 - link to the publication
  2. Convergence and stability of randomized implicit two-stage Runge-Kutta schemes
    Authors:
    Tomasz Bochacik, Paweł Przybyłowicz, Łukasz Stępień
    Academic press:
    BIT Numerical Mathematics (rok: 2025, tom: 65, strony: 7), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10543-024-01050-9 - link to the publication
  3. On the properties of the exceptional set for the randomized Euler and Runge-Kutta schemes
    Authors:
    Tomasz Bochacik
    Academic press:
    Advances in Computational Mathematics (rok: 2023, tom: 49, strony: 14), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10444-023-10012-8 - link to the publication

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