A Variational Principle for Computing Slow Invariant Manifolds in Dissipative Dynamical Systems

DOI10.1137/100790318zbMath1225.37121arXiv0912.1297OpenAlexW3106095095MaRDI QIDQ3095080

Jonas Unger, Dirk Lebiedz, Jochen Siehr

Publication date: 28 October 2011

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.1297

zbMATH Keywords

optimizationmodel reductioncalculus of variationschemical kineticsextremum principleslow invariant manifold

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Chemical kinetics in thermodynamics and heat transfer (80A30) Dynamical systems in optimization and economics (37N40) Approximation methods and numerical treatment of dynamical systems (37M99)

Related Items (7)

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 ⋮ Approximation of slow and fast dynamics in multiscale dynamical systems by the linearized relaxation redistribution method ⋮ On unifying concepts for trajectory-based slow invariant attracting manifold computation in kinetic multiscale models ⋮ Variational approach to closure of nonlinear dynamical systems: autonomous case ⋮ Flow curvature manifold and energy of generalized Liénard systems

Uses Software

• HSL
• Ipopt
• CppAD

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