论文标题
具有复杂系数的伪对称积分器的组成，用于微分方程的数值集成
Compositions of pseudo-symmetric integrators with complex coefficients for the numerical integration of differential equations
论文作者
论文摘要
在本文中，我们关注的是对新方法的构建和分析，该方法以复杂的系数和对真实轴的投影获得的双跳组合物获得。特别是，如果人们使用对称和符号符号基本方法，则新的集成剂是对称和对称性的，直至高阶。在效率方面，上述技术所需的阶段比相同订单的标准组成少，因此有望导致方法更快。
In this paper, we are concerned with the construction and analysis of a new class of methods obtained as double jump compositions with complex coefficients and projection on the real axis. It is shown in particular that the new integrators are symmetric and symplectic up to high orders if one uses a symmetric and symplectic basic method. In terms of efficiency, the aforementioned technique requires fewer stages than standard compositions of the same orders and is thus expected to lead to faster methods.
