本项目属于基础性研究。项目主要内容是在哈密尔顿系统低阶保能量方法、多辛和共形多辛Hamilton偏微分方程低阶保能量方法以及Poisson系统的低阶保能量方法的基础上，利用秦组合方法构造微分方程新的高阶保能量守恒格式，并应用于求解能量守恒分数阶偏微分方程和地球物理中的波动方程。利用秦组合方法构造高阶保能量守恒格式等研究内容具有创新性和国际前沿性，计算格式简单。项目研究内容提出了三类不同结构微分方程高阶保能量守恒格式新的理论和方法。申请人长期从事微分方程保结构算法的研究，在保能量守恒方法的研究上有好的基础,并在本项目关键技术已取得突破进展。项目组成员对研究内容有初步了解，海南大学能为本项目提供良好的科学计算条件。本项目研究内容对促进微分方程保结构算法理论和计算的发展和形成在国内有影响力的保结构算法科学计算团队具有重要意义。

The project belongs to the basic research. The main content of the project is applying the Qin composition method to construct the high order preserving energy conservation schemes of the differential equations based on the low order energy preserving scheme of the Hamiltonian system、the low order energy preserving scheme of the multi-symplectic and conformal multi-symplectic Hamiltonian partial differential equation、the low order energy preserving scheme of the Poisson system and the energy conservation fractional partial differential equation、 the wave equation in physical geography are solved by the new high order energy conservation schemes. The study content,which is applying the Qin composition method to construct high order preserving energy conservation composition scheme,has novelty and international pioneering. The computational schemes are simple. The study content of the project proposes the new theory and method to construct high order energy preserving scheme for three class of different structure differential equations.The applicant is engaged in the study of the structure preserving method for a long periods and has good foundation in the study of preserving energy conservation method. The applicant also has made a breakthrough in the key technology of the project. The project teams have the prime study to the study content of the project. The Hainan university can provide good scientific computational condition for the implement of the project.The study content of the project,which can advance the development of the theory and computation of the structure preserving method and form the obvious effect scientific computational team in china, has important meaning.