Abstract
A method is presented for modifying the truncation error of a given finite difference scheme approximating a nonlinear evolution equation. The new scheme has several advantages over the original. It is higher order, in the absence of time derivatives, has the same time-step requirements, it removes nonphysical oscillations, and it is not less accurate than the original scheme. The idea applied to a finite difference scheme approximating a geophysical flow produces a scheme consistent with the accuracy of the original scheme, but on a mesh three times more refined.
Original language | English (US) |
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Pages (from-to) | 322-339 |
Number of pages | 18 |
Journal | Journal of Computational Physics |
Volume | 209 |
Issue number | 1 |
DOIs | |
State | Published - Oct 10 2005 |
ASJC Scopus subject areas
- Numerical Analysis
- Modeling and Simulation
- Physics and Astronomy (miscellaneous)
- General Physics and Astronomy
- Computer Science Applications
- Computational Mathematics
- Applied Mathematics