3 problems

Let ProjMesh denote the projected mesh used to discretize the shallow-water equations, and let $L_2$ and $L_{\infty}$ denote the corresponding error norms. For a long-time integrat…

Let $n\geq 2$, let $\Lambda$ be the stability region, and let $\mathcal{S}$ be the unit simplex. Define ellipsoids $\mathcal{E}_I$ and $\mathcal{E}_O$ with center…

Ball-complement outer-bound conjecture. The set $\Lambda_{\rm bc}$ is an outer bound for $\Lambda$, namely