@Article{JMS-48-93,
author = {Baines , M. J.},
title = {Explicit Time-Stepping for Moving Meshes},
journal = {Journal of Mathematical Study},
year = {2015},
volume = {48},
number = {2},
pages = {93--105},
abstract = {<p style="text-align: justify;">In order to move the nodes in a moving mesh method a time-stepping scheme
is required which is ideally explicit and non-tangling (non-overtaking in one dimension
(1-D)). Such a scheme is discussed in this paper, together with its drawbacks, and
illustrated in 1-D in the context of a velocity-based Lagrangian conservation method
applied to first order and second order examples which exhibit a regime change after
node compression. An implementation in multidimensions is also described in some
detail.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v48n2.15.01},
url = {http://global-sci.org/intro/article_detail/jms/9912.html}
}