Keywords: Reynolds lubrication equation; Inverse problems; Weighted Sobolev spaces; Singular perturbation analysis; Maximum principle;
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Keywords: Singular perturbation analysis; Partial equilibrium approximation; Model reduction
A theory of reactant-stationary kinetics for a mechanism of zymogen activation
Keywords: Coupled enzyme assay; Time course experiments; Timescale separation analysis; Singular perturbation analysis; Schnell-Mendoza equation; Zymogen activation;
Robust preconditioners for the high-contrast Stokes equation
Keywords: Stokes equation; High-contrast; High-contrast viscosity; Robust preconditioning; Schur complement; Singular perturbation analysis;
Neural firing rate model with a steep firing rate function
Keywords: Two population firing rate model; Switching dynamics; Regular and singular domains; Singular perturbation analysis; Implicit function theorem; Tikhonov theorem
On localised hotspots of an urban crime model
Keywords: Homoclinic snaking; Singular perturbation analysis; Pattern formation;
Polynomial representations of piecewise-linear differential equations arising from gene regulatory networks
Keywords: Gene regulatory networks; Sigmoid functions; Singular perturbation analysis; Polynomial representation
Singular perturbation analysis and gene regulatory networks with delay
Keywords: 34K07; 34K26; 92D10Gene regulation; Differential equations; Delay; Singular perturbation analysis
The G-Scheme: A framework for multi-scale adaptive model reduction
Keywords: 37Lxx; 37Mxx; 80A30; 80A32; 76V0502.30.Hq; 02.30.Jr; 02.60.−x; 02.70.2c; 47.70.Fw; 82.40.−gStiff problems; Model reduction; Multiple time scales; Singular perturbation analysis
An efficient iterative algorithm for the approximation of the fast and slow dynamics of stiff systems
Keywords: Invariant manifolds; Model reduction; Multiple time scales; Asymptotic analysis; Singular perturbation analysis