An efficient iterative algorithm for the approximation of the fast and slow dynamics of stiff systems
DOI10.1016/j.jcp.2005.09.019zbMath1089.65060OpenAlexW2019685954MaRDI QIDQ2490291
Mauro Valorani, Dimitrios A. Goussis
Publication date: 28 April 2006
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2005.09.019
iterative algorithmsstiff systemsAsymptotic analysisModel reductionInvariant manifoldsMultiple time scalesSingular perturbation analysis
Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Invariant manifold theory for dynamical systems (37D10) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Singular perturbations for ordinary differential equations (34E15)
Related Items (24)
Cites Work
- Simulation of nonequilibrium hypersonic flows
- Reactive and reactive-diffusive time scales in stiff reaction-diffusion systems
- Geometric singular perturbation theory for ordinary differential equations
- Integral manifolds and inertial manifolds for dissipative partial differential equations
- Forced-convergence iterative schemes for the approximation of invariant manifolds
- Asymptotic analysis of two reduction methods for systems of chemical reactions
- On the construction and use of reduced chemical kinetic mechanisms produced on the basis of given algebraic relations
- Telescopic projective methods for parabolic differential equations
- Analysis of the computational singular perturbation reduction method for chemical kinetics
- Higher order corrections in the approximation of low-dimensional manifolds and the construction of simplified problems with the CSP method
- Invariant manifold methods for metabolic model reduction
- Viscous detonation in H2‒O2‒Ar using intrinsic low-dimensional manifolds and wavelet adaptive multilevel representation
- Asymptotic Solution of Stiff PDEs with the CSP Method: The Reaction Diffusion Equation
- Intrinsic low-dimensional manifolds of strained and unstrained flames
- Iterative Solution Methods
- Extracting macroscopic dynamics: model problems and algorithms
- Fast and Slow Dynamics for the Computational Singular Perturbation Method
- Comparative analysis of two asymptotic approaches based on integral manifolds
- Global reduced mechanisms for methane and hydrogen combustion with nitric oxide formation constructed with CSP data
- Projecting to a Slow Manifold: Singularly Perturbed Systems and Legacy Codes
- Explicit time-scale splitting algorithm for stiff problems: Auto-ignition of gaseous mixtures behind a steady shock
- Nonlinear modal analysis of structural systems using multi-mode invariant manifolds
- Unnamed Item
- Unnamed Item
This page was built for publication: An efficient iterative algorithm for the approximation of the fast and slow dynamics of stiff systems