On order reduction for Runge-Kutta methods applies to differential algebraic systems and to stiff systems of ODEs
On order reduction for Runge-Kutta methods applies to differential algebraic systems and to stiff systems of ODEs
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龙格-库塔方法的降阶适用于微分代数系统和 ODE 刚性系统
DOI：
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发表时间：
1990
期刊：
影响因子：
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通讯作者：
L. Petzold
中科院分区：
文献类型：
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作者：
K. Burrage;L. Petzold
在这篇短文中，Petzold [SIAM J. Numer. anal. 23（1986），pp. 837 - 852]的隐式Runge-Kutta方法适用于指数1微分/代数系统扩展到包括一个更大的类的方法。微分/代数系统的降阶结果和刚性常微分方程系统的最近结果之间的关系进行了解释。
In this short note, the order reduction results of Petzold [SIAM J. Numer. Anal. 23(1986), pp. 837–852] for implicit Runge–Kutta methods applied to index 1 differential/algebraic systems are extended to include a larger class of methods. The relationship between the order reduction results for differential/algebraic systems and recent results for stiff systems of ordinary differential equations is explained.