This package implements the Carleman linearization transformation of polynomial differential equations in Julia.
The following methods are available:
- Construction of the Carleman embedding using sparse matrices
- Explicit error bounds [FP17]
- Improved error bounds for dissipative systems [FP17]
using CarlemanLinearization ....
- carlin: Python library with similar functionality.
[FP17] Forets, Marcelo, and Amaury Pouly. "Explicit error bounds for carleman linearization." arXiv preprint arXiv:1711.02552 (2017).
[L20] Liu JP, Kolden HØ, Krovi HK, Loureiro NF, Trivisa K, Childs AM. "Efficient quantum algorithm for dissipative nonlinear differential equations.. arXiv preprint arXiv:2011.03185. 2020 Nov 6.