Semigroup stability of finite difference schemes for multidimensional hyperbolic initial boundary value problems

In this paper we give a class of hyperbolic systems, which includes systems with constant multiplicity but significantly wider, for which the initial boundary value problem (IBVP)

Existence and uniqueness theorems are proved for boundary value problems with trihedral corners and distinct boundary conditions on the faces.. Part I treats strictly

Numerical fluxes have been designed such that the first-order scheme preserve the density and pressure positivity (see for example [10]) while Perthame and Shu in 1996 [19], Linde

One of the most noticeable is the result of Metivier establishing that Majda’s "block structure con- dition" for constantly hyperbolic operators, which implies

Of course the main assumption in both of the generalization is that the finite difference scheme for the corner problem is strongly stable. In the author knowledge there is no

Assuming that a hyperbolic initial boundary value problem satsifies an a priori energy estimate with a loss of one tangential derivative, we show a well-posedness result in the sense

operator as well as a geometric regularity condition, we show that an appropriate determinant condition, that is the analogue of the uniform Kreiss-Lopatinskii condition for

The paper [40] establishes an asymptotic representation for random convex polytope ge- ometry in the unit ball B d, d ≥ 2, in terms of the general theory of stabilizing functionals