Abstract
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.
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Tuomela, J. On the resolution of singularities of ordinary differential systems. Numerical Algorithms 19, 247–259 (1998). https://doi.org/10.1023/A:1019179128548
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DOI: https://doi.org/10.1023/A:1019179128548