A multirate time stepping strategy for stiff ordinary differential equations
A multirate time stepping strategy for stiff ordinary differential equations
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DOI：
10.1007/s10543-006-0095-7
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发表时间：
2007
影响因子：
1.5
通讯作者：
Valeriu Savcenco;W. Hundsdorfer;J. Verwer
中科院分区：
文献类型：
--
作者：
Valeriu Savcenco;W. Hundsdorfer;J. Verwer
为了求解分布在元件上的具有不同时间尺度的常微分方程组，研究了多速率时间步长问题。本文介绍了一种自调整多速率时间步进策略，其中特定分量的步长由其自身的局部时间变化决定，而不是整个系统使用单一的步长。我们主要考虑隐式时间推进方法，适用于僵硬或轻微僵硬的颂歌。给出了几个测试问题的多速率策略的数值结果。与相应的单速率格式的比较表明，该算法在计算量和CPU时间上都有很大的提高。
To solve ODE systems with different time scales which are localized over the components, multirate time stepping is examined. In this paper we introduce a self-adjusting multirate time stepping strategy, in which the step size for a particular component is determined by its own local temporal variation, instead of using a single step size for the whole system. We primarily consider implicit time stepping methods, suitable for stiff or mildly stiff ODEs. Numerical results with our multirate strategy are presented for several test problems. Comparisons with the corresponding single-rate schemes show that substantial gains in computational work and CPU times can be obtained.