Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: A direct and accurate adaptive semi-Lagrangian scheme for the Vlasov-Poisson equation
Contributor:
Sokołowski, Jan - ed. ; Sonnendrücker, Eric - ed.
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Abstract:
This article aims at giving a simplified presentation of a new adaptive semi-Lagrangian scheme for solving the (1 + 1)-dimensional Vlasov-Poisson system, which was developed in 2005 with Michel Mehrenberger and first described in (Campos Pinto and Mehrenberger, 2007). The main steps of the analysis are also given, which yield the first error estimate for an adaptive scheme in the context of the Vlasov equation. ; This article focuses on a key feature of our method, which is a new algorithm to transport multiscale meshes along a smooth flow, in a way that can be said "optimal" in the sense that it satisfies both accuracy and complexity estimates which are likely to lead to optimal convergence rates for the whole numerical scheme.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, volume 17, number 3 (2007) ; click here to follow the link
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2007)
Last modified:
Jul 14, 2025
In our library since:
Apr 3, 2024
Number of object content hits:
77
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/88414
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 17, number 1 (2007)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 17, number 2 (2007)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 17, number 3 (2007)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 17, number 4 (2007)
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| Edition name | Date |
|---|---|
| A direct and accurate adaptive semi-Lagrangian scheme for the Vlasov-Poisson equation | Jul 14, 2025 |
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