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Material barriers to diffusive and stochastic transport. [PDF]

open access: yesProc Natl Acad Sci U S A, 2018
Haller G, Karrasch D, Kogelbauer F.
europepmc   +1 more source

Traveling Waves in Spatial SIRS Models. [PDF]

open access: yesJ Dyn Differ Equ, 2014
Ai S, Albashaireh R.
europepmc   +1 more source
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Ordinary differential equations (ODEs) on inertial manifolds for reaction-diffusion systems in a singularly perturbed domain with several thin channels

Journal of Dynamics and Differential Equations, 1992
The authors are dealing with some complicated domain and a reaction diffusion system on it. In nonlinear PDE problems, it is not easy to obtain a sharp result concerning the solutions and their structure in a general situation because many essentially different situations can occur in different cases.
Morita, Yoshihisa, Jimbo, Shuichi
openaire   +2 more sources

Experiments with a local adaptive grid h-refinement for the finite-difference solution of BVPs in singularly perturbed second-order ODEs

Applied Mathematics and Computation, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Entirely Exponential-Type Scheme (E2S) for Optimization Problems with Singularly Perturbed ODE Constraints: The Model Problem

Numerical Mathematics: Theory, Methods and Applications
We found that no convergence to the correct solution can happen when a popular method is applied to discretize the derivative appearing in the objective function for optimization problems with singularly perturbed ODE constraints. The non-convergence mentioned above can occur even if the error bound of the numerical solution of the state equation has ...
Mengyu Li   +5 more
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Adaptive solution of BVPs in singularly perturbed second-order ODEs, by the extended Numerov method combined with an iterative local grid h-refinement

Applied Mathematics and Computation, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

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