5 problems

Let $L$ and $R$ denote the numbers of left- and right-sided Hermite degrees of freedom in a semi-discretized Hermite–Volterra (HV) method for an advection equation. Stability-barri…

Consider the nondiffusive scheme's bounded increasing configurations and their reconstructions. A configuration is said to have a plateau when its reconstruction is constant on a s…

Let $u^0$ be a function with total bounded variation, and associate to it the initialization … Suppose that the ratio $\lambda=\frac{\Delta t}{V\Delta x}$ is fixed and belongs to…

The Lifshitz–Slyozov model describes polymerization and depolymerization dynamics, with the solution evolving from either regular or irregular initial data. The numerical solution…

Let $\mathbf{\Omega}$ be the periodic domain, let $\mathfrak{p}(\mathbf{x})$ denote the return-time function, let $\mathcal{T}_{\mathrm{per}}$ be the associated periodic advection…