<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

A Hermite-Type Adaptive Semi-Lagrangian Scheme

IRMA, Université Louis Pasteur, 7, rue René Descartes, 67084 Strasbourg, France

Laboratoire ICPS, Université Louis Pasteur Pôle API, Boulevard Sébastien Brant, 67400 Illkirch, France

International Journal of Applied Mathematics and Computer Science

{"article-title":"A Hermite-Type Adaptive Semi-Lagrangian Scheme"}

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...

A Hermite-Type Adaptive Semi-Lagrangian Scheme

Published Online: Oct 11, 2007

Page range: 329 - 334

DOI: https://doi.org/10.2478/v10006-007-0027-y

Keywords
adaptive method, Vlasov equation, numerical simulation, Hermite operator

This content is open access.

A Hermite-Type Adaptive Semi-Lagrangian Scheme

Published Online: Oct 11, 2007

Page range: 329 - 334

DOI: https://doi.org/10.2478/v10006-007-0027-y

Keywordsadaptive method, Vlasov equation, numerical simulation, Hermite operator

This content is open access.

Keywords
adaptive method, Vlasov equation, numerical simulation, Hermite operator