Results 61 to 70 of about 1,048,002 (287)

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, Gwang Ya Kim, Sejin Kim, Hyunjong Seo, Se Gi Lee, Sang Min Won, Dongjoon Rhee, Joohoon Kang   +7 more
wiley   +1 more source

Re-iterated approximation methods for nonlinear Volterra integral equations

Mathematical Modelling and Analysis
In this article, the Newton-iteration scheme based upon iterated Galerkin operator is applied for solving non-linear Volterra Urysohn integral equations of the second kind for smooth and weakly singular kernels. A one step of improvement by iteration to
Samiran Chakraborty, Kapil Kant, Ritu Nigam, Gnaneshwar Nelakanti   +3 more
doaj   +1 more source

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
openaire   +2 more sources

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, Ambuj Pandey, Jagabandhu Paul, Akash Anand   +3 more
openaire   +3 more sources

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, Ki‐bum Lee, Junghyeon Lee, Seunghee Cho, Malkeshkumar Patel, Hangfei Li, Yu Wen, Ye Zhou, Joondong Kim   +8 more
wiley   +1 more source

A regularization–discretization strategy for weakly singular Fredholm integral equations: a Tikhonov–Legendre approach

Open Mathematics
This study presents a new computational technique for solving weakly singular Fredholm integral equations of the first kind, based on a regularization–discretization strategy that combines Tikhonov regularization with Legendre spectral projection methods.
Bechouat Tahar, Boussetila Nadjib, Bağlan İrem, Lakhdari Abdelghani, Abdeljawad Thabet   +4 more
doaj   +1 more source

Construction of maximum likelihood estimator in the mixed fractional–fractional Brownian motion model with double long-range dependence

Modern Stochastics: Theory and Applications, 2015
We construct an estimator of the unknown drift parameter $\theta \in \mathbb{R}$ in the linear model \[X_{t}=\theta t+\sigma _{1}{B}^{H_{1}}(t)+\sigma _{2}{B}^{H_{2}}(t),\hspace{0.2778em}t\in [0,T],\] where ${B}^{H_{1}}$ and ${B}^{H_{2}}$ are two ...
Yuliya Mishura, Ivan Voronov
doaj   +1 more source

A Versatile‐Designable Framework for Active and Programmable Shape‐Morphing Soft Matter Systems: From Inverse Design to Closed‐Loop Control

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, Peiling Xie, Ruitong Song, Banghan Liu, Rui Guo, Jiu‐an Lv   +5 more
wiley   +1 more source

An Extension of the Product Integration Method to L1 with Applications in Astrophysics

Mathematical Modelling and Analysis, 2016
A Fredholm integral equation of the second kind in L1([a, b], C) with a weakly singular kernel is considered. Sufficient conditions are given for the existence and uniqueness of the solution. We adapt the product integration method proposed in C0 ([a, b],
Laurence Grammont, Mario Ahues, Hanane Kaboul   +2 more
doaj   +1 more source

Chemically Gradient Ordered Nanodomains Enable Large Tensile Ductility in Gigapascal Lightweight Refractory High‐Entropy Alloys

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, Dingshun Yan, Yong Zhang, Zhiming Li   +3 more
wiley   +1 more source