we all know that both finite element method(fem), symplectic algorithm and multi-symplectic algorithm are powerful tools to solve partial differential equations numerically.
我们知道有限元方法以及辛算法和多辛算法是解偏微分方程数值解的重要方法。
the symplectic algorithm has no artificial dissipation, and keeps stability of the energy error.
辛算法无人工耗散,能较好保持能量误差的稳定性;
it is shown that symplectic algorithm keeps symplectic structure of the system and its intrinsic qualities unchanged and consistent with the theory and experiment.
结果表明,辛算法保持系统的辛结构和固有性质不变,与实验和理论一致;