Solvability of Coupled Systems of Generalized Hammerstein-Type Integral Equations in the Real Line
In this work, we consider a generalized coupled system of integral equations of Hammerstein-type with, eventually, discontinuous nonlinearities. The main existence tool is Schauder’s fixed point theorem in the space of bounded and continuous ...
Feliz Minhós, Robert de Sousa
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Superconvergent Nyström and Degenerate Kernel Methods for Integro-Differential Equations
The aim of this paper is to carry out an improved analysis of the convergence of the Nyström and degenerate kernel methods and their superconvergent versions for the numerical solution of a class of linear Fredholm integro-differential equations of the ...
Abdelmonaim Saou +3 more
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Small facial image dataset augmentation using conditional GANs based on incomplete edge feature input [PDF]
Image data collection and labelling is costly or difficult in many real applications. Generating diverse and controllable images using conditional generative adversarial networks (GANs) for data augmentation from a small dataset is promising but ...
Shih-Kai Hung, John Q. Gan
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Volterra’s integral equation of the second kind, with discontinuous kernel [PDF]
In this equation the function K(w, t ) is called the kerllel; the desired function is u(z) . VVhen the functions K(w, {) and +(.z) are continuous there is no diSculty in finding a continuous 6(z) that shall satisfy equation (1). This general case of the equation (1), under the conditions solelythat +(z) be continuouswhen a-z-b and that X(x, t:) be ...
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The objective of this research is to efficiently solve discontinuous optimization problems as well as optimization problems with large infeasible regions in the design variables space.
Naohiko BAN, Wataru YAMAZAKI
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Solvable non-Hermitian skin effect in many-body unitary dynamics
We study unitary evolution of bipartite entanglement in a circuit with nearest-neighbor random gates. Deriving a compact nonunitary description of purity dynamics on qudits we find a sudden transition in the purity relaxation rate the origin of which is ...
Marko Žnidarič
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Enriched Reproducing Kernel Particle Approximation for Simulating Problems Involving Moving Interfaces [PDF]
In this paper we propose a new approximation technique within the context of meshless methods able to reproduce functions with discontinuous derivatives.
Chinesta, Francisco +2 more
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AN INTEGRATED NETWORK-CONSTRAINED SPATIAL ANALYSIS FOR CAR ACCIDENTS: A CASE STUDY OF TEHRAN CITY, IRAN [PDF]
Research on determination of spatial patterns in urban car accidents plays an important role in improving urban traffic safety. While traditional methods of spatial clustering of car accidents mostly rely on the two dimensional assumption, many spatial ...
S. A. EslamiNezhad, M. R. Delavar
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The water purification process is becoming increasingly important to ensure the continuity and quality of subsequent production processes, and it is particularly relevant in pharmaceutical contexts.
Elena Quatrini +4 more
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Nyström-Clenshaw-Curtis quadrature for integral equations with discontinuous kernels [PDF]
A new highly accurate numerical approximation scheme based on a Gauss type Clenshaw-Curtis quadrature for Fredholm integral equations of the second kind \[ x (
Sheon-Young Kang +2 more
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