@Article{IJNAM-10-314,
author = {Jung , C.-Y. and Nguyen , T. B.},
title = {Semi-Analytical Numerical Methods for Convection-Dominated Problems with Turning Points},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2013},
volume = {10},
number = {2},
pages = {314--332},
abstract = {<p style="text-align: justify;">In this article we aim to study finite volume approximations which approximate the
solutions of convection-dominated problems possessing the so-called interior transition layers. The
stiffness of such problems is due to a small parameter multiplied to the highest order derivative
which introduces various transition layers at the boundaries and at the interior points where certain
compatibility conditions do not meet. Here, we are interested in resolving interior transition layers
at turning points. The proposed semi-analytic method features interior layer correctors which are
obtained from singular perturbation analysis near the turning points. We demonstrate this method
is efficient, stable and it shows 2nd-order convergence in the approximations.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/570.html}
}