2 problems

In the semi-infinite problem on $[0,+\infty)$, let GKS stability mean that there exist $\alpha_0\geq 0$ and $C>0$ such that the estimate … for every $\alpha>\alpha_0$, for sufficie…

Let $u_t+f(u)_x=\Delta x\,u_{xx}+\alpha(\Delta x)^2u_{xxx}+O((\Delta x)^p)$ be the equivalent equation of a finite difference scheme, with $p\geq 3$, and let…