Results 61 to 70 of about 599,405 (289)
Product integration for weakly singular integro-differential equations
Mathematical Modelling and Analysis, 2011 On the basis of product integration techniques a discrete version of a piecewise polynomial collocation method for the numerical solution of initial or boundary value problems of linear Fredholm integro-differential equations with weakly singular kernels
Arvet Pedas, Enn Tamme
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Kneser’s theorem for weak solutions of an integral equation with weakly singular kernel [PDF]
Publications de l'Institut Mathematique, 2005 We prove that the set of all weak solutions of the Volterra integral equation (1) is nonempty, compact and connected.
Dutkiewicz, Aldona, Szufla, Stanisław
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Fast accurate approximation of convolutions with weakly singular kernel and its applications
CoRR, 2021 In this article, we present an $O(N \log N)$ rapidly convergent algorithm for the numerical approximation of the convolution integral with radially symmetric weakly singular kernels and compactly supported densities. To achieve the reduced computational complexity, we utilize the Fast Fourier Transform (FFT) on a uniform grid of size $N$ for ...
Awanish Kumar Tiwari +3 more
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Neuromorphic Near‐Sensor and In‐Sensor Computing Enabled by Next‐Generation Material‐Based Sensors
Advanced Science, EarlyView.This Review presents a structural framework that classifies neuromorphic sensing into near‐sensor and in‐sensor architectures, clarifying physical coupling between sensing and computation. The framework connects neural and synaptic device functions with recent advances in optical, mechanical, and chemical sensing, compares energy consumption and ...
Su Yeon Jung +7 more
wiley +1 more source
, 2023 This paper focuses on the randomized Milstein scheme for approximating solutions to stochastic Volterra integral equations with weakly singular kernels, where the drift coefficients are non-differentiable.
Hu, Junhao +3 more
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Photonic‐Enabled Energy‐Efficient Transparent Neuromorphic Computing Devices: A Review
Advanced Science, EarlyView.Transparent photonic neuromorphic computing devices merge optics and brain‐inspired computing to overcome von Neumann bottlenecks with ultrafast, low‐energy processing. By exploiting transparent oxides, 2D materials, phase‐change materials, and hybrid heterostructures, these platforms enable photonic synapses, memory, and logic for see‐through edge ...
Shuvaraj Ghosh +8 more
wiley +1 more source
Advanced Science, EarlyView.A versatile framework integrates addressable electrothermal actuation and strain‐constraint mechanisms to construct programmable shape‐morphing soft matter systems. By combining an analytical inverse design strategy for high‐fidelity 3D surface reconstruction with deep learning‐based closed‐loop control, this approach enables zero‐energy shape locking,
Kai Liu +5 more
wiley +1 more source
Advanced Science, EarlyView.A high‐strength lightweight refractory high‐entropy alloy achieves extraordinary ductility owing to the introduction of coherent chemically gradient ordered nanodomains (CGONs). The CGONs not only serve as effective barriers to dislocation motion (strengthening) but also significantly promote dislocation nucleation and multiplication (ductilizing) upon
Wei Zhang +3 more
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The Approximate Solution of Fredholm Integral Equations with Oscillatory Trigonometric Kernels
Journal of Applied Mathematics, 2014 A method for approximating the solution of weakly singular Fredholm integral equation of the second kind with highly oscillatory trigonometric kernel is presented.
Qinghua Wu
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Discrete Galerkin method for Fredholm integro-differential equations with weakly singular kernels [PDF]
, 2008 Approximations to a solution and its derivatives of a boundary value problem of an nth order linear Fredholm integro-differential equation with weakly singular or other nonsmooth kernels are determined.
Pedas, Arvet, Tamme, Enn
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