NAJul 30, 2015
Convergence of finite difference schemes to the Aleksandrov solution of the Monge-Ampere equationGerard Awanou, Romeo Awi
We present a technique for proving convergence to the Aleksandrov solution of the Monge-Ampere equation of a stable and consistent finite difference scheme. We also require a notion of discrete convexity with a stability property and a local equicontinuity property for bounded sequences.