2000/02/17 by Zhenquan Li, Li, Zhenquan, A. J. Roberts +1
Decision Sciences · Engineering · Mathematics · Physics and Astronomy · #37L10 #37N10 #Computational Fluid Dynamics and Aerodynamics #Dynamical Systems (math.DS) #FOS: Mathematics #Model Reduction and Neural Networks #Probabilistic and Robust Engineering Design #math.DS #msc:37L10 #msc:37N10
paper · pdf · doi:10.48550/arxiv.math/0002138
11 pages, LaTeX
arxiv created 2000/02/17 · openalex publication_date 2000/02/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In applications of centre manifold theory we need more flexible error estimates than that provided by, for example, the Approximation Theorem~3 by Carr (1981,1983). Here we extend the theory to cover the case where the order of approximation in parameters and that in dynamical variables may be completely different. This allows, for example, the effective evaluation of low-dimensional dynamical models at finite parameter values.