Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

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Modern Numerical Methodologies in Quantum Mechanics

2016/22/M/ST1/00257

Keywords:

numerical methods splitting methods quantum mechanics quantum control

Descriptors:

  • ST1_16: Numerical analysis
  • ST1_11: Partial differential equations
  • ST1_12: Mathematical methods of physics

Panel:

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

Host institution :

Uniwersytet Gdański, Wydział Matematyki, Fizyki i Informatyki

woj. pomorskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Karolina Kropielnicka 

Number of co-investigators in the project: 2

Call: HARMONIA 8 - announced on 2016-06-15

Amount awarded: 140 400 PLN

Project start date (Y-m-d): 2017-04-25

Project end date (Y-m-d): 2022-04-24

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.

Information in the final report

  • Publication in academic press/journals (4)
  1. Asymptotic numerical soler for the linear Klein-Gordon equation with space- and time-dependent mass
    Authors:
    Marissa Condon, Karolina Kropielnicka, Karolina Lademann, Rafał Perczyński
    Academic press:
    Applied Mathematics Letters (rok: 2021, tom: 115, strony: 45298), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aml.2020.106935 - link to the publication
  2. Solving Schrödinger equation in semiclassical regime with highly oscillatory time-dependent potentials
    Authors:
    Arieh Iserles, Karolina Kropielnicka, Pranav Singh
    Academic press:
    Journal of Computational Physics (rok: 2019, tom: 376, strony: 564-584), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jcp.2018.09.047 - link to the publication
  3. Compact schemes for laser–matter interaction in Schrödinger equation based on effective splittings of Magnus expansion
    Authors:
    Arieh Iserles, Karolina Kropielnicka, Pranav Singh
    Academic press:
    Computer Physics Communications (rok: 2019, tom: 234, strony: 195-201), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cpc.2018.07.010 - link to the publication
  4. MAGNUS–LANCZOS METHODS WITH SIMPLIFIED COMMUTATORS FOR THE SCHRO ̈DINGER EQUATION WITH A TIME-DEPENDENT POTENTIAL
    Authors:
    Arieh Iserles, Karolina Kropielnicka, Pranav Singh
    Academic press:
    SIAM Journal on Numerical Analysis (rok: 2018, tom: 56, strony: 1547-1569), Wydawca: SIAM PUBLICATIONS
    Status:
    Published
    DOI:
    10.1063/1.1814103 - link to the publication

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