5 problems

Numerical-error conjecture. The slight deviation of the relative errors from the expected $O(N^{-1})$ behavior at

The technical-loss conjecture. For every $k_0>0$ and $s\in\mathbb R$, there is $C>0$ such that, for all $N>0$, $k>k_0$, and $0<\epsilon<1$,

Baumann–Sauter conjecture. The Galerkin method applied to $A_k$ and $A'_k$ does not suffer from the pollution effect.

Chandler-Wilde–Spence–Galkowski–Smith's resolvent conjecture. There is a constant $C>0$ such that

Let $E$ be the linear operator in the layer-potential system for the unknown densities $[\eta;\xi]$, where $\eta=[\tau;-\sigma]$, and let $(\omega,a,b)$ denote the frequency and qu…