Exact hierarchical reductions of dynamical models via linear transformations

• Published in: Communications in nonlinear science & numerical simulation Vol. 131; p. 107816
• Main Authors: Demin, Alexander, Demitraki, Elizaveta, Pogudin, Gleb
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.04.2024; Elsevier
• Subjects: Computer Science; Dimensionality reduction; Exact reduction; Lumping; Mathematics; Matrix algebras; Ordinary differential equations; Dimensionality reduction; Exact reduction; Lumping; Matrix algebras; 34C20; 34-04; Ordinary differential equations; 16G10; ordinary differential equations; dimensionality reduction; lumping; exact reduction; matrix algebras; ordinary differential equations exact reduction lumping dimensionality reduction matrix algebras MSC codes. 34C20 34-04 16G10

Dynamical models described by ordinary differential equations (ODEs) are a fundamental tool in the sciences and engineering. Exact reduction aims at producing a lower-dimensional model in which each macro-variable can be directly related to the original variables, and it is thus a natural step towar...