Symplectic model reduction methods for the Vlasov equation

Abstract: Particle‐based simulations of the Vlasov equation typically require a large number of particles, which leads to a high‐dimensional system of ordinary differential equations. Solving such systems is computationally very expensive, especially when simulations for many different values of input parameters are desired. In this work, we compare several model reduction techniques and demonstrate their applicability to numerical simulations of the Vlasov equation. The necessity of symplectic model reduction algorithms is illustrated with a simple numerical experiment.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Symplectic model reduction methods for the Vlasov equation ; volume:63 ; number:5-6 ; year:2023 ; extent:13
Contributions to plasma physics ; 63, Heft 5-6 (2023) (gesamt 13)

Creator
Tyranowski, Tomasz M.
Kraus, Michael

DOI
10.1002/ctpp.202200046
URN
urn:nbn:de:101:1-2023070815400672951540
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
14.08.2025, 10:49 AM CEST

Data provider

This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.

Associated

  • Tyranowski, Tomasz M.
  • Kraus, Michael

Other Objects (12)