@Article{JCM-21-4,
author = {Zi-Niu, Wu},
title = {Numerical Dissipation for Three-Point Difference Schemes to Hyperbolic Equations with Uneven Meshes},
journal = {Journal of Computational Mathematics},
year = {2003},
volume = {21},
number = {4},
pages = {519--534},
abstract = {<p style="text-align: justify;">The widely used locally adaptive Cartesian grid methods involve a series of abruptly refined interfaces. The numerical dissipation due to these interfaces is studied here for three-point difference approximations of a hyperbolic equation. It will be shown that if the wave moves in the fine-to-coarse direction then the dissipation is positive (stabilizing), and if the wave moves in the coarse-to-fine direction then the dissipation is negative (destabilizing).</p>},
issn = {1991-7139},
doi = {https://doi.org/2003-JCM-10256},
url = {https://global-sci.com/article/85346/numerical-dissipation-for-three-point-difference-schemes-to-hyperbolic-equations-with-uneven-meshes}
}