Conservative methods for the Toda lattice equations
Conservative methods for the Toda lattice equations
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DOI：
10.1093/imanum/19.4.509
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发表时间：
1999-10
影响因子：
2.1
通讯作者：
M. Calvo;A. Iserles;A. Zanna
中科院分区：
文献类型：
--
作者：
M. Calvo;A. Iserles;A. Zanna
本文用不同的保守方法研究了Toda格方程的数值积分。数值实验表明，等谱格式的全局误差随时间呈指数递减，但对于辛积分器或更一般的积分器，它几乎是恒定的。我们为这些实验结果提供了理论解释。
We are concerned with the numerical integration of the Toda lattice equations by using different conservative methods. Numerical experiments suggest that the global error for isospectral schemes decreases exponentially with time but it is almost constant for either symplectic or more general integrators. We provide a theoretical explanation for these experimental findings.