论文标题
动态系统的组成方法可分为三个部分
Composition Methods for Dynamical Systems Separable into Three Parts
论文作者
论文摘要
提出了针对普通微分方程定义的初始值问题的数值整合的四阶组成方法的新家族。当问题可以分为三个部分时，它们的设计是可以明确解决的三个部分。通过应用不同的优化标准并通过构造保留连续问题的几何特性来获得这些方法。相对于文献中以前的分裂方法，不同的数值示例表现出其改善的性能。
New families of fourth-order composition methods for the numerical integration of initial value problems defined by ordinary differential equations are proposed. They are designed when the problem can be separated into three parts in such a way that each part is explicitly solvable. The methods are obtained by applying different optimization criteria and preserve geometric properties of the continuous problem by construction. Different numerical examples exhibit their improved performance with respect to previous splitting methods in the literature.
