46 citations · 67 across the 5 of their papers we have counts for
5 papers
Manifold learning for parameter reduction
Alexander Holiday, Mahdi Kooshkbaghi, Juan M. Bello-Rivas +3
Large scale dynamical systems (e.g. many nonlinear coupled differential equations) can often be summarized in terms of only a few state variables (a few equations), a trait that re…
Emergence of steady and oscillatory localized structures in a phytoplankton-nutrient model
Antonios Zagaris, Arjen Doelman
Co-limitation of marine phytoplankton growth by light and nutrient, both of which are essential for phytoplankton, leads to complex dynamic behavior and a wide array of coherent pa…
Projecting to a Slow Manifold: Singularly Perturbed Systems and Legacy Codes
C. W. Gear, T. J. Kaper, I. G. Kevrekidis +1
The long-term dynamics of many dynamical systems evolve on an attracting, invariant "slow manifold" that can be parameterized by a few observable variables. Yet a simulation using…
Fast and Slow Dynamics for the Computational Singular Perturbation Method
Antonios Zagaris, Hans G. Kaper, Tasso J. Kaper
The Computational Singular Perturbation (CSP) method of Lam and Goussis is an iterative method to reduce the dimensionality of systems of ordinary differential equations with multi…
Analysis of the CSP Reduction Method for Chemical Kinetics
Antonios Zagaris, Hans G. Kaper, Tasso J. Kaper
This article is concerned with the asymptotic accuracy of the Computational Singular Perturbation (CSP) method developed by Lam and Goussis to reduce the dimensionality of a system…