Minimal curvature trajectories: Riemannian geometry concepts for slow manifold computation in chemical kinetics
From MaRDI portal
Publication:995266
DOI10.1016/j.jcp.2010.05.008zbMath1197.65070arXiv0910.3527OpenAlexW2086208131WikidataQ115350136 ScholiaQ115350136MaRDI QIDQ995266
Jochen Siehr, Volkmar Reinhardt, Dirk Lebiedz
Publication date: 13 September 2010
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0910.3527
Riemannian geometrynumerical examplesnonlinear optimizationcurvaturemodel reductionchemical kineticsmultiple shootingslow invariant manifold
Related Items (9)
On Differential Geometric Formulations of Slow Invariant Manifold Computation: Geodesic Stretching and Flow Curvature ⋮ Towards Differential Geometric Characterization of Slow Invariant Manifolds in Extended Phase Space: Sectional Curvature and Flow Invariance ⋮ On the Hermitian structures of the solution to a pair of matrix equations ⋮ Variational problems for combustion theory equations ⋮ Approximation of slow and fast dynamics in multiscale dynamical systems by the linearized relaxation redistribution method ⋮ Entropy-related extremum principles for model reduction of dissipative dynamical systems ⋮ On unifying concepts for trajectory-based slow invariant attracting manifold computation in kinetic multiscale models ⋮ The fourth law of thermodynamics: steepest entropy ascent ⋮ Flow curvature manifold and energy of generalized Liénard systems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Constraint-defined manifolds: a legacy code approach to low-dimensional computation
- Quasi-equilibrium grid algorithm: geometric construction for model reduction
- Invariant manifolds for physical and chemical kinetics
- Stretching-based diagnostics and reduction of chemical kinetic models with diffusion
- Simulation of chemically reacting flows in two-dimensional geometries
- Simple global reduction technique based on decomposition approach
- A new mathematical framework for the study of linkage and selection
- Using Complex Variables to Estimate Derivatives of Real Functions
- Analysis of the accuracy and convergence of equation-free projection to a slow manifold
- A Real-Time Iteration Scheme for Nonlinear Optimization in Optimal Feedback Control
- Projecting to a Slow Manifold: Singularly Perturbed Systems and Legacy Codes
This page was built for publication: Minimal curvature trajectories: Riemannian geometry concepts for slow manifold computation in chemical kinetics