@Article{AAMM-6-539,
author = {Tang , Shaoqiang and Ji , Songsong},
title = {Stability of Atomic Simulations with Matching Boundary Conditions},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2014},
volume = {6},
number = {5},
pages = {539--551},
abstract = {<p style="text-align: justify;">We explore the stability of matching boundary conditions in one
space dimension, which was proposed recently for atomic simulations
(Wang and Tang, Int. J. Numer. Mech. Eng., 93 (2013), pp. 1255-1285).
For a finite segment of the linear harmonic chain, we
construct explicit energy functionals that decay along with time.
For a nonlinear atomic chain with its nonlinearity vanished around
the boundaries, an energy functional is constructed for the first
order matching boundary condition. Numerical verifications are also
presented.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2013.m360},
url = {http://global-sci.org/intro/article_detail/aamm/34.html}
}