2 papers
math.NA2019
Second Order Threshold Dynamics Schemes for Two Phase Motion by Mean Curvature
Alexander Zaitzeff, Selim Esedoglu, Krishna Garikipati
The threshold dynamics algorithm of Merriman, Bence, and Osher is only first order accurate in the two-phase setting. Its accuracy degrades further to half order in the multi-phase…
math.NA2019
Variational Extrapolation of Implicit Schemes for General Gradient Flows
Alexander Zaitzeff, Selim Esedoglu, Krishna Garikipati
We introduce a class of unconditionally energy stable, high order accurate schemes for gradient flows in a very general setting. The new schemes are a high order analogue of the mi…