activity
20182026
most citedSecond Order Threshold Dynamics Schemes for Two Phase Motion by Mean Curvature

12 citations · 14 across the 3 of their papers we have counts for

collaborators

5 papers

cs.SI2026

Online word-of-mouth in West Africa: the effects of snowball sampling on completion rate, respondent demographics, and survey responses

Alexander Zaitzeff, Samuel Blazek

We place geo-targeted advertisements on Facebook to encourage users to fill out an online survey, following a process known as river sampling. We discovered a large number and vari…

math.NA2020★ 2 cited

High order, semi-implicit, energy stable schemes for gradient flows

Alexander Zaitzeff, Selim Esedoglu, Krishna Garikipati

We introduce a class of high order accurate, semi-implicit Runge-Kutta schemes in the general setting of evolution equations that arise as gradient flow for a cost function, possib…

math.NA2019★ 12 cited

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…

math.NA2018

On the Voronoi Implicit Interface Method

Alexander Zaitzeff, Selim Esedoglu, Krishna Garikipati

We present careful numerical convergence studies, using parameterized curves to reach very high resolutions in two dimensions, of a level set method for multiphase curvature motion…