Geodesic
A Hermite-type adaptive semi-Lagrangian scheme
International Journal of Applied Mathematics and Computer Science, Tome 17 (2007) no. 3, pp. 329-334.

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We study a new Hermite-type interpolating operator arising in a semi-Lagrangian scheme for solving the Vlasov equation in the 2D phase space. Numerical results on uniform and adaptive grids are shown and compared with the biquadratic Lagrange interpolation introduced in (Campos Pinto and Mehrenberger, 2004) in the case of a rotating Gaussian.
Keywords: adaptive method, Vlasov equation, numerical simulation, Hermite operator
Mots-clés : metoda adaptacyjna, równanie Vlasova, symulacja numeryczna, operator hermitowski 
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Mehrenberger, M.; Violard, E. A Hermite-type adaptive semi-Lagrangian scheme. International Journal of Applied Mathematics and Computer Science, Tome 17 (2007) no. 3, pp. 329-334. http://geodesic.mathdoc.fr/item/IJAMCS_2007_17_3_a3/

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