@Article{CiCP-7-103,
author = {Ken Mattsson and Florencia Parisi},
title = {Stable and Accurate Second-Order Formulation of the Shifted Wave Equation},
journal = {Communications in Computational Physics},
year = {2010},
volume = {7},
number = {1},
pages = {103--137},
abstract = {<p style="text-align: justify;">High order finite difference approximations are derived for a one-dimensional
model of the shifted wave equation written in second-order form. The
domain is discretized using fully compatible summation by parts operators and the
boundary conditions are imposed using a penalty method, leading to fully explicit
time integration. This discretization yields a strictly stable and efficient scheme. The
analysis is verified by numerical simulations in one-dimension. The present study is
the first step towards a strictly stable simulation of the second-order formulation of
Einstein&#39;s equations in three spatial dimensions.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.2009.08.135},
url = {http://global-sci.org/intro/article_detail/cicp/7621.html}
}