Abstract
For several difference schemes of linear and non-linear evolution equations, taking the one-dimensional linear and non-linear advection equations as examples, a comparative analysis for computational stability is carried out and the relationship between non-linear computational stability, the construction of difference schemes, and the form of initial values is discussed. It is proved through comparative analysis and numerical experiment that the computational stability of the difference schemes of the non-linear evolution equation are absolutely different from that of the linear evolution equation.
| Original language | English |
|---|---|
| Pages (from-to) | 699-704 |
| Number of pages | 6 |
| Journal | Advances in Atmospheric Sciences |
| Volume | 19 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2002 |
Funding
my of Sciences under Grant No.KZCX2-208 and KZCXI-10-07 the National Key Planning Development Project for Basic Research, and the National Natural Science Foundation of China under Grant No. 40076002. Acknowledgments. This work was supported by the Outstanding State Key Laboratory Project of the National Natural Science Foundation of China under Grant No. 40023001, the Key Innovation Project of the Chinese Acade-
Keywords
- Computational stability
- Difference scheme
- Evolution equation
- Initial value