Multirate linear multistep methods
Multirate linear multistep methods
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DOI：
10.1007/bf01934907
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发表时间：
1984-12
影响因子：
1.5
通讯作者：
C. Gear;C. Gear;D. R. Wells;D. R. Wells
中科院分区：
文献类型：
--
作者：
C. Gear;C. Gear;D. R. Wells;D. R. Wells
讨论了对常微分方程系统的不同分量采用不同步长代码的设计。对于某些成分的变化率比其他成分慢得多的问题，提出了达到中等效率的方法。分析了不同分量误差估计技术，并将其应用于自动步长和阶数控制。非多速率方法所没有的困难，出现在步长的自动选择中，导致建议的代码组织是反直觉的。给出了实验代码和一些初步实验。
The design of a code which uses different stepsizes for different components of a system of ordinary differential equations is discussed. Methods are suggested which achieve moderate efficiency for problems having some components with a much slower rate of variation than others. Techniques for estimating errors in the different components are analyzed and applied to automatic stepsize and order control. Difficulties, absent from non-multirate methods, arise in the automatic selection of stepsizes, leading to a suggested organization of the code that is counter-intuitive. An experimental code and some initial experiments are described.