On the resolution of singularities of ordinary differential systems
On the resolution of singularities of ordinary differential systems
复制标题
常微分系统奇点的解析
DOI：
10.1023/a:1019179128548
复制
发表时间：
1998
影响因子：
2.1
通讯作者：
J. Tuomela
中科院分区：
文献类型：
--
作者：
J. Tuomela
我们展示了一些微分几何的思想如何帮助解决常微分系统的奇异性。因此，一个奇异的问题被替换为一个规则的，这有利于进一步分析系统。所采用的方法是构造性的，正则化系统也可用于数值计算。
We show how some differential geometric ideas help to resolve some singularities of ordinary differential systems. Hence a singular problem is replaced by a regular one, which facilitates further analysis of the system. The methods employed are constructive and the regularized systems can also be used for numerical computations.