@Article{IJNAM-3-395,
author = {M. Hanslien, K. H. Karlsen and A. Tveito},
title = {On a Finite Difference Scheme for a Beeler-Reuter Based Model of Cardiac Electrical Activity},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2006},
volume = {3},
number = {4},
pages = {395--412},
abstract = {<p style="text-align: justify;">We investigate an explicit finite difference scheme for a
Beeler-Reuter based model of cardiac electrical activity. As our main
result, we prove that the finite difference solutions are bounded in the $L^∞$-norm. We also prove the existence of a weak solution by
showing convergence to the solutions of the underlying model as the
discretization parameters tend to zero. The convergence proof is based
on the compactness method.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/910.html}
}