Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Particle Methods in Mathematical Biology

2016/23/D/ST1/02061

Keywords:

Particle methods order of convergence efficient methods splitting methods transport equations with nonlocal renewal term

Descriptors:

  • ST1_11: Partial differential equations
  • ST1_16: Numerical analysis
  • ST1_18: Control theory and optimisation

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Instytut Matematyczny Polskiej Akademii Nauk

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Karolina Kropielnicka 

Number of co-investigators in the project: 1

Call: SONATA 12 - announced on 2016-09-15

Amount awarded: 116 200 PLN

Project start date (Y-m-d): 2017-08-03

Project end date (Y-m-d): 2022-08-02

Project duration:: 60 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.

Equipment purchased [PL]

  1. Komputer i drukarka (7 000 PLN)
  2. Komputer.

Information in the final report

  • Publication in academic press/journals (3)
  1. Time adaptive Zassenhaus splittings for the Schrödinger equation in the semiclassical regime
    Authors:
    Auzinger, Winfried; Hofstätter, Harald; Koch, Othmar; Kropielnicka, Karolina; Singh, Pranav
    Academic press:
    Applied Mathematics and Computation (rok: 2019, tom: 362, strony: 10 pp.), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.amc.2019.06.064 - link to the publication
  2. Solving the wave equation with multifrequency oscillations.
    Authors:
    Condon, Marissa; Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav
    Academic press:
    Journal of Computational Dynamics (rok: 2019, tom: 6, strony: 239--249), Wydawca: Am. Inst. Math. Sci. (AIMS)
    Status:
    Published
    DOI:
    10.3934/jcd.2019012 - link to the publication
  3. Efficient Magnus-type integrators for solar energy conversion in Hubbard models
    Authors:
    W. Auzinger, J. Dubois,K. Held, H. Hofstatter, T. Jawecki,A. Kauch, O. Koch, K. Kropielnicka, P. Singh,C. Watzenbock
    Academic press:
    Journal of Computational Mathematics and Data Science (rok: 2022, tom: 2, strony: 45310), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jcmds.2021.100018 - link to the publication