672 citations · 702 across the 8 of their papers we have counts for
Showing 2012Show all
3 papers · 1 filter
math.NA2012★ 11 cited
High-order accurate difference schemes for the Hodgkin-Huxley equations
David Amsallem, Jan Nordstrom
A novel approach for simulating potential propagation in neuronal branches with high accuracy is developed. The method relies on high-order accurate difference schemes using the Su…
math.DS2012★ 6 cited
On the stability of projection-based linear reduced-order models: Descriptor vs non-descriptor forms
David Amsallem, Charbel Farhat
Two comprehensive approaches are considered for constructing projection-based reduced-order computational models for linear dynamical systems. The first one reduces the governing e…
math.NA2012★ 672 cited
The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows
Kevin Carlberg, Charbel Farhat, Julien Cortial +1
The Gauss--Newton with approximated tensors (GNAT) method is a nonlinear model reduction method that operates on fully discretized computational models. It achieves dimension reduc…