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math.NA2015★ 2 cited
A variational method for computing numerical solutions of the Monge-Ampere equation
Gerard Awanou, Leopold Matamba Messi
We present a numerical method for solving the Monge-Ampere equation based on the characterization of the solution of the Dirichlet problem as the minimizer of a convex functional o…
math.NA2015
Convergence of finite difference schemes to the Aleksandrov solution of the Monge-Ampere equation
Gerard 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 notio…