辛算法的发展历史与现状

History and Present State of Symplectic Algorithm

Hamilton系统是用来描述无耗散的物理过程与物理现象的一种力学系统 .辛几何算法是保结构算法中的一种 ,国内外学者在这一领域的研究 ,取得了丰硕的成果 文中介绍针对Hamilton系统的辛几何算法发展的简要历史、研究现状和未来发展与应用 ,尤其是国内学者在这一领域的主要工作 .

Hamilton system is a mechanical system for the use of describing non-dissipative physical process and physical phenomenon. The algorithm of symplectic geometry is one of structure preserving algorithms. Scholars at home and abroad have scored great successes in this field. Aiming at algorithm of symplectic geometry for Hamilton system, the authors describe its concise history, present state, prospect and applications, especially the primcipal works of Chinese scholars in this field.