NUMERICAL STUDY OF AN ANISOTROPIC VLASOV EQUATION ARISING IN PLASMA PHYSICS

We present a comparison between the numerical solution to the Boltzmann equation ob- tained using a spectral scheme [17], the approximation to the compressible Navier-Stokes

The first point i s of major importance a t lower energies since the close-to-equilibrium properties cannot be safely studied unless one is able to provide descriptions

Reichel, Solutions of quasilinear second-order elliptic boundary value problems via degree theory, in Stationary Partial Differential Equations, Vol.. Willem, On an elliptic

In this section we compare the different numerical results related to the 2D problem ( 3.1 )-( 3.4 ) obtained using a time splitting scheme with an explicit, implicit and IMEX

(1997), with the main features: (a) the strength of anisotropic material depends on the stress state and the loading orientation with respect to the stratification, (b)

One therefore needs to perform a similar reduction to a center-manifold for this amplitude equation in order to find dislocations which connect solutions with different wavenumber

In all the numerical simulations conducted we employ the second order scheme that is described in section 3.4, which is based on Strang splitting for the Vlasov equation and the

This brings advantages in the computational efficiency of the method for large meshes, a better scaling of the matrices condition number with respect to the mesh refinement as well