research
∙
07/13/2023
Numerical Optimal Transport from 1D to 2D using a Non-local Monge-Ampère Equation
We consider the numerical solution of the optimal transport problem betw...
share
research
∙
06/02/2023
Domain Decomposition Methods for the Monge-Ampère equation
We introduce a new overlapping Domain Decomposition Method (DDM) to solv...
research
∙
05/06/2022
A Convergent Quadrature Based Method For The Monge-Ampère Equation
We introduce an integral representation of the Monge-Ampère equation, wh...
research
∙
04/04/2022
On the Reduction in Accuracy of Finite Difference Schemes on Manifolds without Boundary
We investigate error bounds for numerical solutions of divergence struct...
research
∙
07/30/2021
A Convergent Numerical Method for the Reflector Antenna Problem via Optimal Transport on the Sphere
We consider a PDE approach to numerically solving the reflector antenna ...
research
∙
05/07/2021
A Convergent Finite Difference Method for Optimal Transport on the Sphere
We introduce a convergent finite difference method for solving the optim...
research
∙
03/17/2021
Convergent Finite Difference Methods for Fully Nonlinear Elliptic Equations in Three Dimensions
We introduce a generalized finite difference method for solving a large ...
research
∙
03/09/2021
A convergence framework for optimal transport on the sphere
We consider a PDE approach to numerically solving the optimal transporta...
research
∙
02/19/2021