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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...
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11/28/2021
Adaptive Mesh Methods on Compact Manifolds via Optimal Transport and Optimal Information Transport
Moving mesh methods are designed to redistribute a mesh in a regular way...
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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 ...
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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...
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03/09/2021