Mathematical and Computational Applications, Volume 26, Issue 4
December 2021 - 17 articles
- Issues are regarded as officially published after their release is announced to the table of contents alert mailing list .
- You may sign up for email alerts to receive table of contents of newly released issues.
- PDF is the official format for papers published in both, html and pdf forms. To view the papers in pdf format, click on the "PDF Full-text" link, and use the free Adobe Reader to open them.
Cover Story: In long-time simulations of hyperbolic conservation laws, it seems to be very different and extremely challenging to achieve considerably high resolutions and meanwhile avoid spurious oscillations by most existing WENO schemes. During the last decade, this issue has attracted considerable scholarly interest but the way of completely addressing it has remained unclear up to now. We develop the novel concept of order-preserving (OP) mapping, and the resultant WENO schemes can successfully fix the aforementioned problem. These schemes also have many other merits even in short-time simulations, such as improving the resolutions in the high-frequency smooth wave regions, significantly reducing the post-shock numerical oscillations of two-dimensional problems with shock waves, as well as greatly limiting the numerical oscillations in the framework of component-wise reconstruction. View this paper.