Results 91 to 100 of about 166,500 (329)

A singular perturbation result for a class of periodic-parabolic BVPs

open access: yesOpen Mathematics
In this article, we obtain a very sharp version of some singular perturbation results going back to Dancer and Hess [Behaviour of a semilinear periodic-parabolic problem when a parameter is small, Lecture Notes in Mathematics, Vol. 1450, Springer-Verlag,
Cano-Casanova Santiago   +2 more
doaj   +1 more source

A hybrid perturbation Galerkin technique with applications to slender body theory [PDF]

open access: yes
A two step hybrid perturbation-Galerkin method to solve a variety of applied mathematics problems which involve a small parameter is presented. The method consists of: (1) the use of a regular or singular perturbation method to determine the asymptotic ...
Andersen, Carl M., Geer, James F.
core   +1 more source

Steep‐Switching Memory FET for Noise‐Resistant Reservoir Computing System

open access: yesAdvanced Functional Materials, EarlyView.
We demonstrate the steep‐switching memory FET with CuInP2S6/h‐BN/α‐In2Se3 heterostructure for application in noise‐resistant reservoir computing systems. The proposed device achieves steep switching characteristics (SSPGM = 19 mV/dec and SSERS = 23 mV/dec) through stabilization between CuInP2S6 and h‐BN.
Seongkweon Kang   +6 more
wiley   +1 more source

Multi-Scale-Matching neural networks for thin plate bending problem

open access: yesTheoretical and Applied Mechanics Letters
Physics-informed neural networks are a useful machine learning method for solving differential equations, but encounter challenges in effectively learning thin boundary layers within singular perturbation problems.
Lei Zhang, Guowei He
doaj   +1 more source

Golden‐Ratio–Guided Aperiodic Architected Metamaterials with Simultaneously Enhanced Strength and Toughness

open access: yesAdvanced Functional Materials, EarlyView.
Guided by the golden ratio, a class of aperiodic architected metamaterials is introduced to address the intrinsic trade‐off between strength and toughness. By unifying local geometric heterogeneity with global order, the golden‐ratio‐guided aperiodic architecture promotes spatial delocalization of damage tolerence regions, leading to more tortuous ...
Junjie Deng   +9 more
wiley   +1 more source

Elliptic perturbations for Hammerstein equations with singular nonlinear term

open access: yesElectronic Journal of Differential Equations, 2006
We consider a singular elliptic perturbation of a Hammerstein integral equation with singular nonlinear term at the origin. The compactness of the solutions to the perturbed problem and, hence, the existence of a positive solution for the ...
Giuseppe Maria Coclite   +1 more
doaj  

Ultrahigh‐Yield, Multifunctional, and High‐Performance Organic Memory for Seamless In‐Sensor Computing Operation

open access: yesAdvanced Functional Materials, EarlyView.
Molecular engineering of a nonconjugated radical polymer enables a significant enhancement of the glass transition temperature. The amorphous nature and tunability of the polymer, arising from its nonconjugated backbone, facilitates the fabrication of organic memristive devices with an exceptionally high yield (>95%), as well as substantial ...
Daeun Kim   +14 more
wiley   +1 more source

A singular perturbation problem in integrodifferential equations

open access: yesElectronic Journal of Differential Equations, 1993
Consider the singular perturbation problem for $$varepsilon ^2 u'' (t;varepsilon ) + u'(t;varepsilon ) = Au(t;varepsilon )+int_0^t K(t-s)Au(s;varepsilon),ds+ f(t;varepsilon ),,$$ where $tgeq 0$, $u(0;varepsilon ) = u_0 (varepsilon )$, $u'(0;varepsilon ) =
James Liu
doaj  

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