Stability and stabilization of the constrained runs schemes for equation-free projection to a slow manifold

DOI10.3934/DCDS.2012.32.2759zbMath1245.65102OpenAlexW2023083241MaRDI QIDQ432625

C. William Gear, Christophe Vandekerckhove, Tasso J. Kaper, Antonios Zagaris, Ioannis G. Kevrekidis

Publication date: 4 July 2012

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2012.32.2759

zbMATH Keywords

singular perturbationsinertial manifoldsDAEsiterative initializationlegacy codes

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Stability and convergence of numerical methods for ordinary differential equations (65L20) Asymptotic expansions of solutions to ordinary differential equations (34E05) Approximation methods and numerical treatment of dynamical systems (37M99) Matrix pencils (15A22) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (5)

Convergence of Equation-Free Methods in the Case of Finite Time Scale Separation with Application to Deterministic and Stochastic Systems ⋮ Analysis of the approximate slow invariant manifold method for reactive flow equations ⋮ Analysis of the accuracy and convergence of equation-free projection to a slow manifold ⋮ Local orthogonal rectification: deriving natural coordinates to study flows relative to manifolds ⋮ On convergence of higher order schemes for the projective integration method for stiff ordinary differential equations

This page was built for publication: Stability and stabilization of the constrained runs schemes for equation-free projection to a slow manifold