On unifying concepts for trajectory-based slow invariant attracting manifold computation in kinetic multiscale models

DOI10.1080/13873954.2016.1141219zbMath1342.34076arXiv1405.1856OpenAlexW2298681797MaRDI QIDQ2808782

Dirk Lebiedz, Jonas Unger

Publication date: 24 May 2016

Published in: Mathematical and Computer Modelling of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.1856

zbMATH Keywords

variational principleboundary value problemmodel reductionslow invariant attracting manifold

Mathematics Subject Classification ID

Related Items (5)

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 ⋮ Recasting the mass-action rate equations of open chemical reaction networks into a universal quadratic format80A30 ⋮ Attracting subspaces in a hyper-spherical representation of autonomous dynamical systems ⋮ Slow Invariant Manifolds of Slow–Fast Dynamical Systems

Cites Work

• Unnamed Item
• Unnamed Item
• The inverse problem in the calculus of variations and the geometry of the tangent bundle
• Entropy-related extremum principles for model reduction of dissipative dynamical systems
• Minimal curvature trajectories: Riemannian geometry concepts for slow manifold computation in chemical kinetics
• Asymptotic analysis of two reduction methods for systems of chemical reactions
• Stretching-based diagnostics and reduction of chemical kinetic models with diffusion
• The \(G\)-scheme: a framework for multi-scale adaptive model reduction
• On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
• Equation-free, coarse-grained multiscale computation: enabling microscopic simulators to perform system-level analysis
• A Continuation Method for the Efficient Solution of Parametric Optimization Problems in Kinetic Model Reduction
• One-Dimensional Slow Invariant Manifolds for Fully Coupled Reaction and Micro-scale Diffusion
• Mixed-Mode Oscillations with Multiple Time Scales
• A Variational Principle for Computing Slow Invariant Manifolds in Dissipative Dynamical Systems
• Adjoint Sensitivity Analysis for Differential-Algebraic Equations: The Adjoint DAE System and Its Numerical Solution
• “Coarse” stability and bifurcation analysis using time-steppers: A reaction-diffusion example
• Computing Slow Manifolds of Saddle Type
• Analysis of the accuracy and convergence of equation-free projection to a slow manifold
• SLOW INVARIANT MANIFOLDS AS CURVATURE OF THE FLOW OF DYNAMICAL SYSTEMS
• Projecting to a Slow Manifold: Singularly Perturbed Systems and Legacy Codes

This page was built for publication: On unifying concepts for trajectory-based slow invariant attracting manifold computation in kinetic multiscale models