TY - JOUR
T1 - Numerical Dissipation for Three-Point Difference Schemes to Hyperbolic Equations with Uneven Meshes
AU - Wu , Zi-Niu
JO - Journal of Computational Mathematics
VL - 4
SP - 519
EP - 534
PY - 2003
DA - 2003/08
SN - 21
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/10256.html
KW - Refined interfaces, Numerical dissipation, Three-point difference approximation, Hyperbolic equation.
AB - <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>