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A Hermite type adaptive semi-Lagrangian scheme

Michel Mehrenberger 1, 2 Eric Violard 2
2 CALVI - Scientific computation and visualization
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
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.
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https://hal.inria.fr/inria-00110865
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Submitted on : Thursday, November 2, 2006 - 10:45:40 AM
Last modification on : Friday, June 19, 2020 - 9:22:04 AM
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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⟩

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