@Article{IJNAM-11-816,
author = {A. Bousquet and A. Huang},
title = {Finite Volume Approximation of  the Linearized Shallow Water Equations in Hyperbolic Mode},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2014},
volume = {11},
number = {4},
pages = {816--840},
abstract = {<p style="text-align: justify;">In this article, we consider the linearized inviscid shallow water equations in space dimension two in a rectangular domain. We implement a finite volume discretization and prove the
numerical stability and convergence of the scheme for three cases that depend on the background
flow $\tilde{u}_0$, $\tilde{v}_0$, and $\tilde{\phi}_0$ (sub- or super-critical flow at each part of the boundary). The three cases
that we consider are fully hyperbolic modes.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/553.html}
}