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A Hermite-type adaptive semi-Lagrangian scheme

Mehrenberger M., Violard E.

International Journal of Applied Mathematics and Computer Science

2007

Vol. 17, no 3

329-334

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.

The cauchy problem for the Einstein-Vlasov system

Mucha P. B.

Journal of Applied Analysis

1998

Vol. 4, nr 1

111-127

We prove an existence and uniqueness for the Einstein-Vlasov system locally in time. Considerations are restricted to initial data which give a solution in harmonic coordinates.