  Hyperbolic curvature flow is a geometric evolution equation that in the plane
can be viewed as the natural hyperbolic analogue of curve shortening flow. It
was proposed by Gurtin and Podio-Guidugli (1991) to model certain wave
phenomena in solid-liquid interfaces. We introduce a semidiscrete finite
difference method for the approximation of hyperbolic curvature flow and prove
error bounds for natural discrete norms. We also present numerical simulations,
including the onset of singularities starting from smooth strictly convex
initial data.
