Abstract
In the paper we report on recent developments of the iRRAM software [7] for exact real computations. We incorporate novel methods and tools to generate solutions of initial value problems for ODE systems with polynomial right hand sides (PIVP). The algorithm allows the evaluation of the solutions with an arbitrary precision on their complete open intervals of existence. In consequence, the set of operators implemented in the iRRAM software (like function composition, computation of limits, or evaluation of Taylor series) is expanded by PIVP solving.
The research leading to these results has received funding from the People Programme (Marie Curie Actions) of the European Union’s Seventh Framework Programme FP7/2007-2013/ under REA grant agreement n\(^{\circ }\) PIRSES-GA-2011-294962-COMPUTAL and from the DFG/RFBR grant CAVER BE 1267/14-1 and 14-01-91334.
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Brauße, F., Korovina, M., Müller, N.T. (2016). Towards Using Exact Real Arithmetic for Initial Value Problems. In: Mazzara, M., Voronkov, A. (eds) Perspectives of System Informatics. PSI 2015. Lecture Notes in Computer Science(), vol 9609. Springer, Cham. https://doi.org/10.1007/978-3-319-41579-6_6
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