Amaury Pouly

activity

20122025

most citedPolynomial Time corresponds to Solutions of Polynomial Ordinary Differential Equations of Polynomial Length

42 citations · 161 across the 23 of their papers we have counts for

collaborators

Showing math.NAShow all

2 papers · 1 filter

math.NA2017★ 10 cited

Explicit Error Bounds for Carleman Linearization

Marcelo Forets, Amaury Pouly

We revisit the method of Carleman linearization for systems of ordinary differential equations with polynomial right-hand sides. This transformation provides an approximate lineari…

math.NA2012★ 15 cited

On the complexity of solving initial value problems

Olivier Bournez, Daniel S. Graça, Amaury Pouly

In this paper we prove that computing the solution of an initial-value problem $y ˙ = p (y)$ with initial condition $y (t_{0}) = y_{0} \in R^{d}$ at time $t_{0} + T$ with precision $e^{- μ}$ whe…