General linear methods
General linear methods
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DOI：
10.1016/0898-1221(95)00222-7
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发表时间：
1996-02-01
影响因子：
2.9
通讯作者：
Butcher, JC
中科院分区：
文献类型：
--
作者：
Butcher, JC
最初引入一般线性方法是为了为一大类常微分方程数值方法提供一致性、稳定性和收敛性的统一理论。我们调查了该公式的使用，并讨论了这些方法的准确度顺序的含义。在寻找新的实用算法时，我们考虑“DIMSIM”方法的特殊情况。
General linear methods were originally introduced to provide a unified theory of consistency, stability and convergence for a large class of numerical methods for ordinary differential equations. We survey the use of this formulation and discuss the meaning of order of accuracy for these methods. In the search for new practical algorithms, we consider the special case of ''DIMSIM'' methods.