Uniform Polynomial Stability of a Midpoint-Staggered Finite-Difference Scheme for a Wave Equation With Dynamic Boundary Control
A structure-preserving midpoint-staggered finite-difference scheme is analyzed for a one-dimensional wave equation coupled to a first-order dynamic boundary controller. The continuous system has the polynomial energy-decay rate <inline-formula> <tex-math notation="LaTeX">${t}^{\text {-1}}$ </tex-math></inline-formula>,...