152 citations · 506 across the 51 of their papers we have counts for
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math.NA2012★ 4 cited
Coarse-graining molecular dynamics models using an extended Galerkin projection
Xiantao Li
We present a new framework for coarse-graining molecular dynamics models for crystalline solids. The reduction method is based on a Galerkin projection to a subspace, whose dimensi…
math.NA2012★ 2 cited
On the effect of ghost force in the quasicontinuum method: dynamic problems in one dimension
Xiantao Li, Pingbing Ming
Numerical error induced by the "ghost forces" in the quasicontinuum method is studied in the context of dynamic problems. The error in the ({W}^{1,\infty}) norm is analyzed for the…