Abstract
For the non-conservative difference schemes of nonlinear evolution equations with aperiodic boundary conditions, taken one-dimensional nonlinear advection equation as an example, a new method for judging the computational stability is given. It is proved to be practical and effective through several numerical examples. The stability criteria obtained by this method are really the necessary conditions of computational stability.
| Original language | English |
|---|---|
| Pages (from-to) | 1358-1361 |
| Number of pages | 4 |
| Journal | Chinese Science Bulletin |
| Volume | 45 |
| Issue number | 15 |
| DOIs | |
| State | Published - 2000 |
Funding
Acknowledgements This work was supported by the Nationill Outstanding Youth Scientist Foundation of China (Grant No. 49825109). the Special Funds li)r Maior State Basic Research Projects (Grant No. G1999032801) and the National Natural Science Foundation of China (Griinl No. 4997.5020).
Keywords
- Computational stability
- Difference scheme
- Heuristic analysis
- Nonlinear evolution equation