A Hermite-Type Adaptive Semi-Lagrangian Scheme

Michel Mehrenberger; Eric Violard

doi:10.2478/v10006-007-0027-y

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A Hermite-Type Adaptive Semi-Lagrangian Scheme

International Journal of Applied Mathematics and Computer Science

Volume 17 (2007): Issue 3 (September 2007)

By: Michel Mehrenberger and Eric Violard

Open Access

|Oct 2007

Abstract

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.

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