CarlemanLinearization.jl

This package implements the Carleman linearization transformation of polynomial differential equations in Julia.

Features

The following methods are available:

• Construction of the Carleman embedding using sparse matrices
• Explicit error bounds [FP17]
• Improved error bounds for dissipative systems [FP17]

Example

using CarlemanLinearization

....

Related libraries

• carlin: Python library with similar functionality.

References

• [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.