Results 21 to 30 of about 1,404 (193)
A neural-network-assisted numerical method is proposed for the solution of Laplace and Poisson problems. Finite differences are applied to approximate the spatial Laplacian operator on nonuniform grids.
Ferenc Izsák, Rudolf Izsák
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The vibration signal from the rotatory machinery condition monitoring under time-varying speed is usually amplitude-modulated (AM) and frequency-modulated (FM).
Yuexin Huang +4 more
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Overdetermined Elliptic Systems
AbstractWe show that the weights classically used for the definition of ellipticity are not necessary, as any differential system that is elliptic with weights becomes elliptic without weights during its completion. Furthermore, there are systems which are not elliptic for any choice of weights but whose completed form is nevertheless elliptic.
Werner M. Seiler, Jukka Tuomela
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Computational Experiments on the Tikhonov Regularization of the Total Least Squares Problem [PDF]
In this paper we consider finding meaningful solutions of ill-conditioned overdetermined linear systems Ax≈b, where A and b are both contaminated by noise. This kind of problems frequently arise in discretization of certain integral equations. One of the
Maziar Salahi, Hossein Zareamoghaddam
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On the global solvability for overdetermined systems [PDF]
We consider a class of systems of two smooth vector fields on the 3-torus associated to a closed 1-form. We prove that the global solvability is completely determined by the connectedness of the sublevel and superlevel sets of a primitive of this 1-form in the minimal covering.
Bergamasco, Adalberto P. +3 more
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Some Properties of Solutions to Weakly Hypoelliptic Equations
A linear different operator L is called weakly hypoelliptic if any local solution u of Lu=0 is smooth. We allow for systems, that is, the coefficients may be matrices, not necessarily of square size.
Christian Bär
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A deep learning inverse‐design framework is established to create versatile reconfigurable terahertz metadevices. By synergizing deep learning with phase‐change materials, this approach enables on‐demand customization of multidimensional electromagnetic responses.
Yisheng Dong +11 more
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Hypoelliptic Overdetermined Systems with Variable Coefficients [PDF]
Let(1) p(x,D)u = fbe a system of partial difierential equations. We shall say that p (x,D) is hypoelliptic if the distribution solution u is in C∞ wherever f∈C∞ (cf. section 2, Definition 5.)Here we shall give a sufficient condition for the hypoellipticity of overdetermined systems with variable coefficients.
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The Insistence of Blackness and the Persistence of Antiblackness in Ireland
ABSTRACT This paper positions Ireland as a critical site for examining the insistence of blackness and an antiblackness created and sustained through Irish ethnonationalist imaginaries and exclusionary processes. Drawing on connected sociologies and Irish Black Studies, this enquiry argues that antiblackness in Ireland operates as a generational force,
Philomena Mullen
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Structural health monitoring systems are often limited to the use of one sensor due to cost, complexity, and weight restrictions. Therefore, there is a need to develop load and damage identification techniques that utilize only one sensor.
Nick Stites +3 more
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