Time-averaged coarse variables for multi-scale dynamics

DOI10.1090/S0033-569X-2012-01291-5zbMath1273.34065OpenAlexW1990888428MaRDI QIDQ4902592

Marshall Slemrod, Amit Acharya

Publication date: 16 January 2013

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0033-569x-2012-01291-5

zbMATH Keywords

singular perturbationsslow-fast systemsmulti-scale dynamics

Mathematics Subject Classification ID

Averaging method for ordinary differential equations (34C29) Singular perturbations for ordinary differential equations (34E15) Multiple scale methods for ordinary differential equations (34E13)

Related Items (5)

Optimal spatiotemporal reduced order modeling. I: Proposed framework ⋮ Accelerated time integrator for multiple time scale homogenization ⋮ Temporal smoothing -- a step forward for time-spectral methods ⋮ Computing singularly perturbed differential equations ⋮ Coarse variables of autonomous ODE systems and their evolution

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• On a computational approach for the approximate dynamics of averaged variables in nonlinear ODE systems: toward the derivation of constitutive laws of the rate type
• Analysis and Computation of a Discrete KdV-Burgers Type Equation with Fast Dispersion and Slow Diffusion
• Coarse-Graining Autonomous ODE Systems by Inducing a Separation of Scales: Practical Strategies and Mathematical Questions
• On singularly perturbed ordinary differential equations with measure-valued limits
• Singularly perturbed ordinary differential equations with dynamic limits
• Slow observables of singularly perturbed differential equations

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