@Article{JCM-27-474,
author = {Xin Wen},
title = {Convergence of an Immersed Interface Upwind Scheme for Linear Advection Equations with Piecewise Constant Coefficients II: Some Related Binomial Coefficients Inequalities},
journal = {Journal of Computational Mathematics},
year = {2009},
volume = {27},
number = {4},
pages = {474--483},
abstract = {<p style="text-align: justify;">In this paper we give proof of three binomial coefficient inequalities. These inequalities are key ingredients in [Wen and Jin, J. Comput. Math. 26, (2008), 1-22] to establish the $L^1$-error estimates for the upwind difference scheme to the linear advection equations with a piecewise constant wave speed and a general interface condition, which were further used to establish the $L^1$-error estimates for a Hamiltonian-preserving scheme developed in [Jin and Wen, Commun. Math. Sci. 3, (2005), 285-315] to the Liouville equation with piecewise constant potentials [Wen and Jin, SIAM J. Numer. Anal. 46, (2008), 2688-2714].</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.2009.27.4.014},
url = {http://global-sci.org/intro/article_detail/jcm/8584.html}
}