Results 61 to 70 of about 553 (265)

Riemann–Hilbert problems with shift on the Lyapunov curve for null-solutions of iterated Beltrami equations

Boundary Value Problems, 2019
In this article, we study some Riemann–Hilbert problems with shift on the Lyapunov curve for generalized polyanalytic functions, which are null-solutions of a class of iterated Beltrami equations.
Guoan Guo, Chenkai Jin, Pei Dang, Zhihua Du   +3 more
doaj   +1 more source

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

Numerical Solution of Integral-Algebraic Equations with Weakly Singular Kernels by k−step Methods

Известия Иркутского государственного университета: Серия "Математика", 2015
In this paper we describe numerical methods for solution integral-algebraic equations wiht weakly singular kernels. Methods are based on explicit Adam’s methods, product integration methods for the integral part and on extrapolation formulas for the main
M.V. Bulatov, O.S. Budnikova
doaj  

A novel approach for solving weakly singular fractional integro-differential equations

Partial Differential Equations in Applied Mathematics
In this essay, we introduce a novel idea to tackle the challenges of fractional integro-differential equations (FIDEs) featuring weakly singular kernels (WSKs). New idea leverages B-splines for solving such equations, offering a robust numerical solution
Ali Jalal Ali, Mostafa Eslami, Ali Tavakoli   +2 more
doaj   +1 more source

Parameter identification in a Volterra equation with weakly singular kernel

Journal of Integral Equations and Applications, 1990
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brewer, Dennis W., Powers, Robert K.
openaire   +2 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 Mechanical Quadrature Method for Solving Delay Volterra Integral Equation with Weakly Singular Kernels

Complexity, 2019
In this work, a mechanical quadrature method based on modified trapezoid formula is used for solving weakly singular Volterra integral equation with proportional delays.
Li Zhang, Jin Huang, Yubin Pan, Xiaoxia Wen   +3 more
doaj   +1 more source

Machine Learning Accelerated Non‐Adiabatic Molecular Dynamics Elucidates Local Polarization Effects on Non‐radiative Recombination in Halide Perovskites

Advanced Science, EarlyView.
This work proposes and constructs the Hefei‐NAMD‐S framework based on machine learning stacked models to investigate the relationship between local polarization and non‐radiative recombination. The results indicate that, compared with A‐site local polarization, B‐site local polarization shows a more evident association with the non‐radiative ...
Bing Yang, Xiaoli Wei, Bo Cai, Yan Yang, Xinghai Zhu, Yi Liu, Junmin Xia, Lihui Liu, Kun Cao, Wei Shen, Pengfei Xia, Shufen Chen, Siyu Chen, Jin Zhao   +13 more
wiley   +1 more source

Limiting behavior of quasilinear wave equations with fractional-type dissipation

Advanced Nonlinear Studies
In this work, we investigate a class of quasilinear wave equations of Westervelt type with, in general, nonlocal-in-time dissipation. They arise as models of nonlinear sound propagation through complex media with anomalous diffusion of Gurtin–Pipkin type.
Kaltenbacher Barbara, Meliani Mostafa, Nikolić Vanja   +2 more
doaj   +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