@Article{IJNAM-17-434,
author = {Adugna Abdi , Ebise and Joachim Schroll , Hans},
title = {An Adaptive Viscosity E–Scheme for Degenerate Conservation and Balance Laws},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2020},
volume = {17},
number = {3},
pages = {434--456},
abstract = {<p style="text-align: justify;">An adaptive E–scheme for degenerate, viscous balance laws is presented. Taking into
account natural diffusion, numerical viscosity is locally reduced to a minimum. Numerical experiments
demonstrate the improved accuracy of the adaptive scheme. Explicit and implicit three–point E–schemes
are monotone, TVD and nonlinearly stable. A high–resolution version of the adaptive E–scheme is
derived and tested in experiments. The latter is not necessarily monotone, but TVD.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/16867.html}
}