Results 51 to 60 of about 40,161 (298)

Numerical solution of volterra integral equations with weakly singular kernel using legendre wavelet method [PDF]

Mathematics and Computational Sciences
The presented paper investigates a new numerical method based on the characteristics of Legendre wavelet for solving Volterra Integral equations in this method,With the help of block-pulse functions and their characteristics, we obtain the fractional ...
Ali Khani, Nader Belalzadeh
doaj   +1 more source

Extrapolation Method for Non-Linear Weakly Singular Volterra Integral Equation with Time Delay

Mathematics, 2021
This paper proposes an extrapolation method to solve a class of non-linear weakly singular kernel Volterra integral equations with vanishing delay. After the existence and uniqueness of the solution to the original equation are proved, we combine an ...
Li Zhang, Jin Huang, Hu Li, Yifei Wang
doaj   +1 more source

Neuromorphic Electronics for Intelligence Everywhere: Emerging Devices, Flexible Platforms, and Scalable System Architectures

Advanced Materials, EarlyView.
The perspective presents an integrated view of neuromorphic technologies, from device physics to real‐time applicability, while highlighting the necessity of full‐stack co‐optimization. By outlining practical hardware‐level strategies to exploit device behavior and mitigate non‐idealities, it shows pathways for building efficient, scalable, and ...
Kapil Bhardwaj, Roshni Satheesh Babu, Yuxin Xia, Eva Bestelink, Radu Sporea, Nikos Hastas, Ioannis Zeimpekis, Dimitra G. Georgiadou, Sayani Majumdar   +8 more
wiley   +1 more source

Combination of 3D and 2D Small and Wide Angle X‐Ray Scattering Imaging Reveals Diminished Bone Quality in the Superior Human Femoral Neck Cortex

Advanced Materials, EarlyView.
Combined 2D and 3D X‐ray scattering imaging is used to analyse nanostructural properties in the inferior and superior cortex of 78 human femoral necks from 44 donors. The methodology allows for increased interpretation of nanostructure in a statistically relevant dataset, revealing nanostructural differences in anatomical locations critical to clinical
Torne Tänzer, Tatiana Kochetkova, Arthur Baroni, Mathieu Simon, Mads Carlsen, Santiago Fernandez Bordin, Manuel Guizar‐Sicairos, Philippe Zysset, Marianne Liebi   +8 more
wiley   +1 more source

ON THE ARONSZAJN PROPERTY FOR AN INTEGRAL EQUATION WITH WEAKLY SINGULAR KERNEL

Demonstratio Mathematica, 2004
The author proves that, for Banach spaces \(E\), \(F\) and \(D=[0,d]\), under suitable conditions on \(p\in C(D,E)\), \(f:D\times E\rightarrow F\), \( K(t,s)=H(t,s)/(t-s)^{r}\) with \(H:\{(t,s):0\leq s\leq t\leq d\}\rightarrow \mathcal{L}(F,E)\) continuous and ...
openaire   +2 more sources

Optoelectronic Nanofluidic Neural Networks for Ionic Computing

Advanced Materials, EarlyView.
An ion‐based optoelectronic nanofluidic memristor enables neuromorphic computing in aqueous environments. With tunable ionic memory and multimodal synaptic plasticity, it realizes densely connected ionic neural networks capable of image classification, motion prediction, logic computation, and real‐time in‐sensor computing, advancing fully connected ...
Yaxin Huang, Zhiyuan Du, Changjin Wu, Binglin Zeng, Yingnan Cao, Mingliang Li, Liren Zhang, Qingxin Guo, Chao Huang, Can Li, Jinyao Tang   +10 more
wiley   +1 more source

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   +2 more sources

Cross Kingdom Metabolic Engineering Paradigm Elevating Sustainable Protein Production

Advanced Science, EarlyView.
ABSTRACT Confronting the dual crisis of escalating global protein demand and unsustainable agriculture necessitates transformative solutions. Here, we pioneer evolutionary insights from maize nitrogen optimization via asparagine synthetase (ASNS) to rewire metabolism in Pichia pastoris.
Yuanyuan Du, Changyu Pi, Kai Hong, Le Gao, Xin Wu   +4 more
wiley   +1 more source

On integral equations with Weakly Singular kernel by using Taylor series and Legendre polynomials

Open Physics, 2015
This paper is concerned with the numerical solution for a class of weakly singular Fredholm integral equations of the second kind. The Taylor series of the unknown function, is used to remove the singularity and the truncated Taylor series to second ...
Babolian Esmail, Hamedzadeh Danial, Jafari Hossein, Hajikandi Asghar Arzhang, Baleanu Dumitru   +4 more
doaj   +1 more source

An Integrated NLP‐ML Framework for Property Prediction and Design of Steels

Advanced Science, EarlyView.
This study presents a data‐driven framework that uses language‐processing techniques to interpret steel processing descriptions and machine‐learning models to predict mechanical properties. By organising complex process histories into meaningful groups and enabling rapid property forecasts, the work supports faster, more informed steel design through ...
Kiran Devraju, Adithya Umanath Rai, Jose Thomson, Marzie Ghorbani, Shujing Zhao, Nick Birbilis   +5 more
wiley   +1 more source