5 citations · 11 across the 6 of their papers we have counts for
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nlin.CG2008★ 2 cited
Choose interelement coupling to preserve self-adjoint dynamics in multiscale modelling and computation
A. J. Roberts
Consider the macroscale modelling of microscale spatiotemporal dynamics. Here we develop a new approach to ensure coarse scale discrete models preserve important self-adjoint prope…
nlin.CD2008★ 2 cited
Model turbulent floods with the Smagorinski large eddy closure
A. J. Roberts, D. J. Georgiev, D. V. Strunin
Floods, tides and tsunamis are turbulent, yet conventional models are based upon depth averaging inviscid irrotational flow equations. We propose to change the base of such modelli…
nlin.CG2008★ 5 cited
Model dynamics on a multigrid across multiple length and time scales
A. J. Roberts
Most methods for modelling dynamics posit just two time scales: a fast and a slow scale. But many applications, including many in continuum mechanics, possess a wide variety of spa…