IRMA - Institut de Recherche Mathématique Avancée, LSIIT - Laboratoire des Sciences de l'Image, de l'Informatique et de la Télédétection, Inria Nancy - Grand Est, IECL - Institut Élie Cartan de Lorraine
IECL - Institut Élie Cartan de Lorraine (Université de Lorraine, Boulevard des Aiguillettes BP 70239 54506 Vandoeuvre-les-Nancy Cedex
Ile du Saulcy - 57 045 Metz Cedex 01 - France)
Abstract : We study a new Hermite type interpolating operator in a semi-Lagrangian scheme for solving the Vlasov equation in the 2D phase space. Numerical results on uniform and adaptive grid are shown and compared with biquadratic Lagrange interpolation in the case of a rotating Gaussian.
https://hal.inria.fr/inria-00110865 Contributor : Michel MehrenbergerConnect in order to contact the contributor Submitted on : Thursday, November 2, 2006 - 10:45:40 AM Last modification on : Friday, February 4, 2022 - 3:34:54 AM Long-term archiving on: : Tuesday, April 6, 2010 - 9:23:40 PM
Michel Mehrenberger, Eric Violard. A Hermite type adaptive semi-Lagrangian scheme. International Journal of Applied Mathematics and Computer Science, University of Zielona Góra 2006, ⟨10.2478/v10006-007-0027-y⟩. ⟨inria-00110865⟩