109 citations · 522 across the 51 of their papers we have counts for
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Numerical solution of the Optimal Transportation problem using the Monge-Ampere equation
Jean-David Benamou, Brittany D. Froese, Adam M. Oberman
A numerical method for the solution of the elliptic Monge-Ampere Partial Differential Equation, with boundary conditions corresponding to the Optimal Transportation (OT) problem is…
A viscosity solution approach to the Monge-Ampere formulation of the Optimal Transportation Problem
Jean-David Benamou, Brittany D. Froese, Adam M. Oberman
In this work we present a numerical method for the Optimal Mass Transportation problem. Optimal Mass Transportation (OT) is an active research field in mathematics.It has recently…
Convergent filtered schemes for the Monge-Ampère partial differential equation
Brittany D. Froese, Adam M. Oberman
The theory of viscosity solutions has been effective for representing and approximating weak solutions to fully nonlinear Partial Differential Equations (PDEs) such as the elliptic…