@Article{AAMM-11-571,
author = {Li , Jiequan},
title = {Fundamentals of Lax-Wendroff Type Approach  to Hyperbolic Problems with Discontinuities},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2019},
volume = {11},
number = {3},
pages = {571--582},
abstract = {<p style="text-align: justify;">This paper presents the understanding of the fundamentals when designing a numerical schemes for hyperbolic problems with discontinuities as parts of their solutions. The fundamentals include the consistency with hyperbolic balance laws in integral form rather than PDE form, spatial-temporal coupling, thermodynamic consistency for computing compressible fluid flows, convergence arguments and multidimensionality etc. Some numerical results are shown to display the performance.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2018.s02},
url = {http://global-sci.org/intro/article_detail/aamm/12981.html}
}