1.9k citations · 6.2k across the 179 of their papers we have counts for
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math.DS2013★ 1 cited
Better buffers for patches in macroscale simulation of systems with microscale randomness
J. E. Bunder, A. J. Roberts, I. G. Kevrekidis
We consider one dimensional lattice diffusion model on a microscale grid with many discrete diffusivity values which repeat periodicially. Computer algebra explores how the dynamic…
math.DS2013★ 56 cited
Reduced models in chemical kinetics via nonlinear data-mining
Eliodoro Chiavazzo, C. William Gear, Carmeline J. Dsilva +2
The adoption of detailed mechanisms for chemical kinetics often poses two types of severe challenges: First, the number of degrees of freedom is large; and second, the dynamics is…