iarjetIARJETIARJET2708-5163https://doi.org/10.47310/iarjet.2021.v02i02.009Review on Research Progress of Structure Preserving AlgorithmsZhoujinCuiXiaorongZhangSchool of Economics and Management, Jiangsu Maritime Institute, Nanjing, ChinaTraditional numerical methods often destroy the symplectic structure of Hamiltonian system, so that the numerical simulation cannot remain stable for a long time. In some practical problems, such as the calculation and simulation of long-term propagation of some geophysical wave fields, weather prediction, complex hydrodynamics and electromagnetism have become hot spots, which requires the selection of more efficient and stable numerical calculation methods. This paper reviews the research status of structure preserving algorithms and summarizes the existing methods and conclusions.