Abstract
In this paper, the multi-symplectic formulations of the membrane free vibration equation with periodic boundary conditions in Hamilton space are considered. The complex method is introduced and a semi-implicit twenty-seven-points scheme with certain discrete conservation laws-a multi-symplectic conservation law (CLS), a local energy conservation law (ECL) as well as a local momentum conservation law (MCL)-is constructed to discrete the PDEs that are derived from the membrane free vibration equation. The results of the numerical experiments show that the multi-symplectic scheme has excellent long-time numerical behavior.
| Original language | English |
|---|---|
| Pages (from-to) | 1181-1189 |
| Number of pages | 9 |
| Journal | Applied Mathematics and Mechanics (English Edition) |
| Volume | 28 |
| Issue number | 9 |
| DOIs | |
| State | Published - Sep 2007 |
UN SDGs
This output contributes to the following UN Sustainable Development Goals (SDGs)
-
SDG 7 Affordable and Clean Energy
Keywords
- Complex discretization
- Multi-symplectic
- Runge-Kutta methods
Fingerprint
Dive into the research topics of 'Multi-symplectic methods for membrane free vibration equation'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver