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math.NA2022
On Median Filters for Motion by Mean Curvature
Selim Esedoglu, Jiajia Guo, David Li
The median filter scheme is an elegant, monotone discretization of the level set formulation of motion by mean curvature. It turns out to evolve every level set of the initial cond…
math.NA2022
High Order Schemes for Gradient Flow with Respect to a Metric
Saem Han, Selim Esedoglu, Krishna Garikipati
New criteria for energy stability of multi-step, multi-stage, and mixed schemes are introduced in the context of evolution equations that arise as gradient flow with respect to a m…