Composition Methods for Differential Equations with Processing
Composition Methods for Differential Equations with Processing
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DOI：
10.1137/030601223
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发表时间：
2005-12
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影响因子：
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通讯作者：
S. Blanes;F. Casas;A. Murua
中科院分区：
文献类型：
--
作者：
S. Blanes;F. Casas;A. Murua
我们为通过基本积分器组合获得的高达 12 阶的微分方程构造数值积分器。考虑以下情况：（i）可分为两个可解部分的系统的组合，（ii）使用一阶积分器及其伴随物作为基本方法的组合，（iii）使用二阶对称方法的组合，以及（iv）使用四阶对称方法的组合。每个方案都通过处理器或校正器来实现，以提高其效率，并且几乎可以免费完成。
We construct numerical integrators for differential equations up to order 12 obtained by composition of basic integrators. The following cases are considered: (i) composition for a system separable in two solvable parts, (ii) composition using as basic methods a first-order integrator and its adjoint, (iii) composition using second-order symmetric methods, and (iv) composition using fourth-order symmetric methods. Each scheme is implemented with a processor or corrector to improve their efficiency, and this can be done virtually cost-free.