Abstract
There is a large overlap in the work of the Automatic Differentiation community and those whose use Power Series Methods. Automatic Differentiation is predominately applied to problems involving differentiation, and Power series began as a tool in the ODE setting. Three examples are presented to highlight this overlap, and several interesting results are presented.
Keywords
- Higher-order taylor methods
- Recursive power series
- Projectively polynomial functions
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Carothers, D.C. et al. (2012). Connections Between Power Series Methods and Automatic Differentiation. In: Forth, S., Hovland, P., Phipps, E., Utke, J., Walther, A. (eds) Recent Advances in Algorithmic Differentiation. Lecture Notes in Computational Science and Engineering, vol 87. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30023-3_16
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DOI: https://doi.org/10.1007/978-3-642-30023-3_16
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