@Article{IJNAM-17-3,
author = {Ebise, Adugna, Abdi and Schroll, Joachim, 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/2020-IJNAM-16867},
url = {https://global-sci.com/article/83027/an-adaptive-viscosity-escheme-for-degenerate-conservation-and-balance-laws}
}