30 citations · 135 across the 19 of their papers we have counts for
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On the order of accuracy for finite difference approximations of partial differential equations using stencil composition
Abhishek Mishra, David Salac, Matthew G. Knepley
Stencil composition uses the idea of function composition, wherein two stencils with arbitrary orders of derivative are composed to obtain a stencil with a derivative order equal t…
Cahn-Hilliard on Surfaces: A Numerical Study
Prerna Gera, David Salac
The Cahn-Hilliard system has been used to describe a wide number of phase separation processes, from co-polymer systems to lipid membranes. In this work the convergence properties…
Level Set Jet Schemes for Stiff Advection Equations: The SemiJet Method
Guhan Velmurugan, Ebrahim M. Kolahdouz, David Salac
Many interfacial phenomena in physical and biological systems are dominated by high order geometric quantities such as curvature. Here a semi-implicit method is combined with a lev…
The Semi Implicit Gradient Augmented Level Set Method
Ebrahim M. Kolahdouz, David Salac
Here a semi-implicit formulation of the gradient augmented level set method is presented. By tracking both the level set and it's gradient accurate subgrid information is provided,…
The Augmented Fast Marching Method for Level Set Reinitialization
David Salac
Including derivative information in the modelling of moving interfaces has been proposed as one method to increase the accuracy of numerical schemes with minimal additional cost. H…