A 66-year-old man with hypertension and acute coronary syndrome without ST segment elevation underwent cardiac catheterization. Single-vessel disease was observed at the bifurcation of the left anterior descending artery and diagonal artery (LAD-Dg), which was treated with an 18-mm MultiLink Frontier dedicated stent mounted on a dual balloon system that leaves a metal-free side portal oriented ...

We give upper bounds on the order of the automorphism group of a simple graph In this note we present some upper bounds on the order of the automorphism group of a graph, which is assumed to be simple, having no loops or multiple edges. Somewhat surprisingly, we did not find such bounds in the literature and the goal of this paper is to fill this gap. As a matter of fact, implicitly such bounds...

Semi-Lagrangian (SL) methods have been very popular in the Vlasov simulation community [28, 2, 3, 18, 31, 4, 23, 25]. In this paper, we propose a new Strang split SL discontinuous Galerkin (DG) method for solving the Vlasov equation. Specifically, we apply the Strang splitting for the Vlasov equation [5], as a way to decouple the nonlinear Vlasov system into a sequence of linear equations. To e...

We study the derived critical locus of a function $f:[X/G]\to \mathbb{A}_{\mathbb{K}}^1$ on quotient stack smooth affine scheme $X$ by action group $G$. It is shown that $\mathrm{dCrit}(f) \simeq [Z/G]$ for $Z$, whose dg-algebra functions described explicitly. Our results generalize classical BV formalism in finite dimensions from Lie algebra to actions.

Abstract. In this paper, the analysis of the superconvergence property of the discontinuous Galerkin (DG) method applied to one-dimensional time-dependent nonlinear scalar conservation laws is carried out. We prove that the error between the DG solution and a particular projection of the exact solution achieves (k+ 3 2 )-th order superconvergence when upwind fluxes are used. The results hold tr...