Integrable discrete systems and numerical integrators
Integrable discrete systems and numerical integrators
复制标题
可积离散系统和数值积分器
DOI：
10.1016/0378-4754(94)00023-9
复制
发表时间：
1994
影响因子：
4.6
通讯作者：
B. Dorizzi
中科院分区：
文献类型：
--
作者：
B. Grammaticos;B. Dorizzi
我们提出了一种分析的各种集成计划，适用于数值积分，第一，一维哈密顿系统，第二，Painlevé方程I和II。这两个系统都是众所周知的可积系统。可积积分器最适合于可积系统的模拟，因为它们允许长时间的模拟和使用适度大的积分步骤。
We present an analysis of various integration schemes which are applied to the numerical integration of, first, a one-dimensional Hamiltonian system and, second, Painlevé equations I and II. Both systems are well-known integrable ones. Integrable integrators are best suited for the simulation of integrable systems since they allow simulations over long times and the use of moderately large integration steps.