Derivation of symmetric composition constants for symmetric integrators
Derivation of symmetric composition constants for symmetric integrators
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DOI：
10.1080/10556780500140664
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发表时间：
2005-08
影响因子：
2.2
通讯作者：
M. Sofroniou;G. Spaletta
中科院分区：
文献类型：
--
作者：
M. Sofroniou;G. Spaletta
这项工作的重点是推导的组合方法的数值积分的常微分方程，这引起了非常具有挑战性的优化问题。复合是一种有用的技术，用于构造高阶近似，同时保持某些几何性质。我们调查现有的组合方法，并描述了密集的数值搜索新方法的结果。搜索过程的细节沿着的数值例子，这表明新的方法比以前已知的方法更好地执行。作为结果，这些问题的全局极小值的位置得到了一些见解。
This work focuses on the derivation of composition methods for the numerical integration of ordinary differential equations, which give rise to very challenging optimization problems. Composition is a useful technique for constructing high order approximations, while conserving certain geometric properties. We survey existing composition methods and describe results of an intensive numerical search for new methods. Details of the search procedure are given along with numerical examples, which indicate that the new methods perform better than previously known methods. Some insight into the location of global minima for these problems is obtained as a result.