Towards a New ODE Solver Based on Cartan's Equivalence Method
<|reference_start|>Towards a New ODE Solver Based on Cartan's Equivalence Method: The aim of the present paper is to propose an algorithm for a new ODE--solver which should improve the abilities of current solvers to handle second order differential equations. The paper provides also a theoretical result revealing the relationship between the change of coordinates, that maps the generic equation to a given target equation, and the symmetry $\D$-groupoid of this target.<|reference_end|>
@article{dridi2007towards,
    title={Towards a New ODE Solver Based on Cartan's Equivalence Method},
    author={R. Dridi and M. Petitot},
    journal={arXiv preprint arXiv:cs/0702065},
    year={2007},
    archivePrefix={arXiv},
    eprint={cs/0702065},
    primaryClass={cs.SC}
}