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math.AP2018
A convergent finite difference scheme for the Ostrovsky--Hunter equation with Dirichlet boundary conditions
Johanna Ridder, Adrian Montgomery Ruf
We prove convergence of a finite difference scheme to the unique entropy solution of a general form of the Ostrovsky--Hunter equation on a bounded domain with non-homogeneous Diric…
math.AP2018
Convergence of a Full Discretization for a Second-Order Nonlinear Elastodynamic Equation in Isotropic and Anisotropic Orlicz Spaces
Adrian Montgomery Ruf
In this paper, we study a second-order, nonlinear evolution equation with damping arising in elastodynamics. The nonlinear term is monotone and possesses a convex potential but exh…