Aller au contenu  Aller au menu  Aller à la recherche

Bienvenue - Laboratoire Jacques-Louis Lions

Partenariats

CNRS

UPMC

UPMC
Print this page |

Chiffres-clé

Chiffres clefs

217 personnes travaillent au LJLL

83 personnels permanents

47 enseignants chercheurs

13 chercheurs CNRS

9 chercheurs INRIA

2 chercheurs CEREMA

12 ingénieurs, techniciens et personnels administratifs

134 personnels non permanents

85 doctorants

16 post-doc et ATER

5 chaires et délégations

12 émérites et collaborateurs bénévoles

16 visiteurs

 

Chiffres janvier 2014

 

2018-GdT ITER - F. Casas

Mardi 4 Décembre 2018 à 11h : Fernando Casas (Universitat Jaume I)

On some Geometric Integration techniques for kinetic plasma models

During the last years there has been an increasing interest in the use of structure-preserving algorithms for the numerical time-integration of the differential equations arising in different plasma models and the dynamics of charged particles in electromagnetic fields. Examples comprise the applications of Hamiltonian splitting and composition methods to Vlasov–Maxwell equations and kinetic equations with stiff relaxation, volume preserving algorithms for charged particle dynamics and the use of specially adapted schemes for the Vlasov–Poisson equation.

Splitting and composition methods are by now standard numerical procedures to integrate differential equations in the realm of Geometric Numerical Integration, where preserving whatever invariants the systems has is of paramount importance. In this talk we will review some of their main features, with special emphasis in schemes adapted to problems separable into three of more exactly solvable parts and methods involving double commutators, and also analyze how these algorithms can be applied to plasma related models when high order schemes are required.