Results 91 to 100 of about 1,078,761 (224)

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

Theoretical 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
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Perturbing plane curve singularities

Revista Matemática Iberoamericana, 2003
We describe the singularity of all but finitely-many germs in a pencil generated by two germs of plane curve sharing no tangent.
Casas, Eduardo, Peraire, Rosa
openaire   +5 more sources

A note on the perturbation of singular values

Linear Algebra and its Applications, 1979
AbstractIn this note a variant of the classical perturbation theorem for singular values is given. The bounds explain why perturbations will tend to increase rather than decrease singular values of the same order of magnitude as the perturbation.
openaire   +3 more sources

Elliptic perturbations for Hammerstein equations with singular nonlinear term

Electronic 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, Mario Michele Coclite   +1 more
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Solutions of the Singular IVPs of Lane-Emden type equations by combining Laplace transformation and perturbation technique

Nonlinear Engineering, 2018
In this paper, we propose an efficient method to solve linear and nonlinear singular initial value problems of Lane-Emden type equations by combining Laplace transformation and homotopy perturbation methods.
Aminikhah Hossein
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On a simple singular perturbation problem

Journal of Differential Equations, 1985
The limit as \(\epsilon \downarrow 0\) of the solution u(x) to a first order scalar ordinary differential equation \(\epsilon u'(x)=f(u(x ...
openaire   +2 more sources

Motion control and singular perturbation algorithms for lower limb rehabilitation robots

Frontiers in Neurorobotics
To better assist patients with lower limb injuries in their rehabilitation training, this paper focuses on motion control and singular perturbation algorithms and their practical applications.
Yanchun Xie, Anna Wang, Xue Zhao, Yang Jiang, Yao Wu, Hailong Yu   +5 more
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A singular perturbation problem in integrodifferential equations

Electronic 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  

Modular cell biology: retroactivity and insulation

Molecular Systems Biology, 2008
Modularity plays a fundamental role in the prediction of the behavior of a system from the behavior of its components, guaranteeing that the properties of individual components do not change upon interconnection.
Domitilla Del Vecchio, Alexander J Ninfa, Eduardo D Sontag   +2 more
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Perturbation of singular integral operators with piecewise continuous coefficients

Acta et Commentationes: Ştiinţe Exacte şi ale Naturii
In the paper it is shown that the property of singular integral operators with piecewise continuous coefficients to be Noetherian is stable with respect to their perturbation with certain non-compact operators. An example is constructed showing that the
Vasile Neagu, Diana Bîclea
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