Quasi-Convergence of an Implementation of Optimal Balance by Backward-Forward Nudging

DOI10.1137/22m1506018zbMath1514.34092arXiv2206.13068OpenAlexW4377087908MaRDI QIDQ6164115

Unnamed Author, Haidar Mohamad, Marcel Oliver

Publication date: 30 June 2023

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.13068

zbMATH Keywords

slow manifoldGronwall inequalityoptimal balance

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Multiple scale methods for ordinary differential equations (34E13) Computational methods for invariant manifolds of dynamical systems (37M21)

Related Items (1)

A comparison of methods to balance geophysical flows

Cites Work

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• H s -class construction of an almost invariant slow subspace for the Klein–Gordon equation in the non-relativistic limit
• Optimal Balance via Adiabatic Invariance of Approximate Slow Manifolds
• Optimal potential vorticity balance of geophysical flows
• Optimal balance for rotating shallow water in primitive variables
• Gevrey asymptotic properties of slow manifolds

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