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Convective stability of the critical waves of an FKPP-type model for self-organized growth. [PDF]
Kreten F.
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Super-localized orthogonal decomposition for convection-dominated diffusion problems. [PDF]
Bonizzoni F, Freese P, Peterseim D.
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Motion control and singular perturbation algorithms for lower limb rehabilitation robots. [PDF]
Xie Y +5 more
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The Inheritance of Local Bifurcations in Mass Action Networks. [PDF]
Banaji M, Boros B, Hofbauer J.
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Singularly Perturbed Volterra Integral Equations
SIAM Journal on Applied Mathematics, 1987The authors study the singularly perturbed Volterra integral equation \[ \epsilon u(t)=\int^{t}_{0}K(t-s)F(u(s),s) ds,\quad t\geq 0, \] where \(\epsilon\) is a small parameter, with the objective of developing a methodology that yields the appropriate ''inner'' and ''outer'' integral equations, each of which is defined on the whole domain of interest ...
Angell, J. S., Olmstead, W. E.
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On the dynamics of the singularly perturbed Mackey–Glass equation
Journal of Computational and Applied Mathematics, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. M. A. El-Sayed +2 more
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A BDF2 method for a singularly perturbed transport equation
International Journal of Computer MathematicsZhongdi Cen
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Singularly perturbed pseudoparabolic equation
Mathematical Methods in the Applied Sciences, 2016An asymptotic expansion of the contrasting structure‐like solution of the generalized Kolmogorov–Petrovskii–Piskunov equation is presented. A generalized maximum principle for the pseudoparabolic equations is developed. This, together with the generalized differential inequalities method, allows to prove the consistence and convergence of the ...
Bykov, Alexey +2 more
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Singularly Perturbed Systems of Volterra Equations
Journal of Applied Analysis, 2002This paper studies the behaviour of the solution \(u(t,\varepsilon)\) of the system of Volterra integral equations \[ \varepsilon u(t) = f(t) + \int_0^t A(t,s)u(s)\,ds, \quad 0 \leq t \leq T, \] as the positive parameter \(\epsilon\) tends to zero. Both \(f\) and \(A\) are continuous, and the eigenvalues of \(A(t,t)\) are supposed to be negative.
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