@Article{JCM-35-265,
author = {Cheng , Yao and Zhang , Qiang},
title = {Local Analysis of the Fully Discrete Local Discontinuous Galerkin Method for the Time-Dependent Singularly Perturbed Problem},
journal = {Journal of Computational Mathematics},
year = {2017},
volume = {35},
number = {3},
pages = {265--288},
abstract = {<p style="text-align: justify;">In this paper we consider the fully discrete local discontinuous Galerkin method, where the third order explicit Runge-Kutta time marching is coupled. For the one-dimensional time-dependent singularly perturbed problem with a boundary layer, we shall prove that the resulted scheme is not only of good behavior at the local stability, but also has the double-optimal local error estimate. It is to say, the convergence rate is optimal in both space and time, and the width of the cut-off subdomain is also nearly optimal, if the boundary condition at each intermediate stage is given in a proper way. Numerical experiments are also given.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1605-m2015-0398},
url = {http://global-sci.org/intro/article_detail/jcm/9773.html}
}