Computing with Polynomial Ordinary Differential Equations

@article{Bournez2016ComputingWP,
title={Computing with Polynomial Ordinary Differential Equations},
author={O. Bournez and D. Graça and A. Pouly},
journal={ArXiv},
year={2016},
volume={abs/1601.05683}
}

In 1941, Claude Shannon introduced the General Purpose Analog Computer (GPAC) as a mathematical model of Differential Analysers, that is to say as a model of continuous-time analog (mechanical, and later on electronic) machines of that time.Following Shannon's arguments, functions generated by the GPAC must satisfy a polynomial differential algebraic equation (DAE). As it is known that some computable functions like Euler's ź ( x ) = ź 0 ∞ t x - 1 e - t d t or Riemann's Zeta function ź ( x… CONTINUE READING