Index reduction for differential‐algebraic equations by minimal extension
Index reduction for differential‐algebraic equations by minimal extension
复制标题
通过最小扩张的微分代数方程的指数约简
DOI：
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
V. Mehrmann
中科院分区：
文献类型：
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作者：
P. Kunkel;V. Mehrmann
本文讨论了一种新的折射率归约技术，用于处理具有额外结构信息的微分代数系统。基于这些信息，形成了降阶导数阵列，并通过引入新变量来代替昂贵的子空间计算来获得指标降阶。对于几类重要的具有结构信息的微分-代数系统，证明了新方法的有效性。这些问题包括多体系统和电路仿真问题。数值算例验证了该方法的有效性。
In this paper a new index reduction technique is discussed for the treatment of differential‐algebraic systems for which extra structural information is available. Based on this information reduced derivative arrays are formed and instead of using expensive subspace computations the index reduction is obtained by introducing new variables. The new approach is demonstrated for several important classes of differential‐algebraic systems, where the structural information is available. These include multibody systems and circuit simulation problems. The effectiveness of the new approach is demonstrated via numerical examples.