Higher-order Melnikov method
✍ Scribed by Guo You-zhong; Liu Zeng-rong; Jiang Xia-mei; Han Zhi-bin
- Publisher
- Springer
- Year
- 1991
- Tongue
- English
- Weight
- 495 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0253-4827
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In [J. Differential Equations 146 (2) (1998) 320-335], Françoise gives an algorithm for calculating the first nonvanishing Melnikov function M of a small polynomial perturbation of a Hamiltonian vector field and shows that M is given by an Abelian integral. This is done under the condition that vani
We develop a class of higher-order mixed ®nite dierence methods for elliptic partial dierential equations. The problem is recast as a ®rst-order mixed system and the higher-order compact schemes follow as a natural extension of the formulations we developed previously for the scalar PDE problem. Sin
Alternate direction methods are based on the Lie formula (eA/"ea/n)" -e '~+s = O(l/n) for square matrices A and B. A more precise formula is known: (eA/2"eS/"e~/2")" -e a+a = O(1/n2). The search for more accurate product formulae is negative, in the following sense: there is no integer k and no choi