@Article{NMTMA-3-295,
author = {Matthias Ehrhardt},
title = {Absorbing Boundary Conditions for Hyperbolic Systems},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2010},
volume = {3},
number = {3},
pages = {295--337},
abstract = {<p style="text-align: justify;">This paper deals with absorbing boundary conditions for hyperbolic
systems in one and two space dimensions.
We prove the strict well-posedness
of the resulting initial boundary value problem in 1D.
Afterwards we establish the GKS-stability of
the corresponding Lax-Wendroff-type finite difference scheme.
Hereby, we have to extend the classical proofs, since
the (discretized) absorbing boundary conditions do not fit
the standard form of boundary conditions for hyperbolic systems.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2010.33.3},
url = {http://global-sci.org/intro/article_detail/nmtma/6001.html}
}