Results 61 to 70 of about 6,844 (227)

An Asymptotic-Numerical Hybrid Method for Solving Singularly Perturbed Linear Delay Differential Equations

International Journal of Differential Equations, 2017
In this work, approximations to the solutions of singularly perturbed second-order linear delay differential equations are studied. We firstly use two-term Taylor series expansion for the delayed convection term and obtain a singularly perturbed ordinary
Süleyman Cengizci
doaj   +1 more source

Degeneracy Sensing Light Detection and Ranging‐Inertial Simultaneous Localization and Mapping with Dual‐Layer Resistant Odometry and Scan‐Context Loop‐Closure Detection Backend in Diverse Environments

Advanced Intelligent Systems, Volume 8, Issue 3, March 2026.
This paper presents a degeneracy‐aware light detection and ranging (LiDAR)‐inertial framework that enhances LiDAR simultaneous localization and mapping performance in challenging environments. The proposed system integrates a dual‐layer robust odometry frontend with a Scan‐Context‐based loop‐closure detection backend.
Haoming Yang, Liye Zhao, Xukai Ding, Wenjun Li, Kehao Qi   +4 more
wiley   +1 more source

Securing the Unseen: A Comprehensive Exploration Review of AI‐Powered Models for Zero‐Day Attack Detection

Expert Systems, Volume 43, Issue 3, March 2026.
ABSTRACT Zero‐day exploits remain challenging to detect because they often appear in unknown distributions of signatures and rules. The article entails a systematic review and cross‐sectional synthesis of four fundamental model families for identifying zero‐day intrusions, namely, convolutional neural networks (CNN), deep neural networks (DNN ...
Abdullah Al Siam, Nuruzzaman Faruqui, Akm Azad, Mohammad Ali Moni   +3 more
wiley   +1 more source

Attenuation of arsenic trioxide‐induced endothelial injury: unveiling the protective role of ginkgolic acid through inhibition of TRPM4 SUMOylation: Evidence from Raman cellular imaging

VIEW, Volume 7, Issue 1, February 2026.
Inhibiting the SUMOylation modification of TRPM4 can prevent the vascular endothelial damage caused by ATO. Inhibition of TRPM4 SUMOylation, either pharmacologically by GA or genetically by the K618R mutation, protects against ATO‐induced vascular endothelial damage.
Ting‐Ting Tong, Ya‐Dong Xue, Yu‐Yao Zhang, Chun‐Xiao Yu, Xin‐Yu Yao, Yu‐Xuan Han, Kai Zhang, Mei‐Mei Shen, Yu Zhao, Yun‐Feng Cui, Zi‐Yue Ma, Yu‐Yang Fu, Yong‐Zhen Wang, Jing Jin, Ke Tang, Yang Liu, Yang Li, Rong Huo, Tao Ban   +18 more
wiley   +1 more source

Solving singularly perturbed differential equations in intuitionistic fuzzy environment

Ain Shams Engineering Journal
In this paper, we introduce and study singularly perturbed intuitionistic fuzzy initial value and boundary value problems. We develop a method based on the intuitionistic fuzzy version of Zadeh's extension principle to compute (α,β)-cuts for solutions to
Selami Bayeğ
doaj   +1 more source

The existence, uniqueness and asymptotic estimates of solutions for third-order full nonlinear singularly perturbed vector boundary value problems

Boundary Value Problems, 2020
In this paper, we discuss third-order full nonlinear singularly perturbed vector boundary value problems. We first present the existence of solutions for the nonlinear vector boundary value problems without perturbation by using the upper and lower ...
Xiaojie Lin, Jiang Liu, Can Wang
doaj   +1 more source

Uniform convergence difference schemes for singularly perturbed mixed boundary problems

, 2004
In this paper, we consider the conservative form of singularly perturbed ordinary differential equations with mixed boundary conditions. A fitted mesh finite difference scheme is constructed for these problems.
Cai, X, Liu, Fawang, Cai, X., Liu, F.
core   +1 more source

Automatic Adaptive and Targeted Localized Refinement in Transient Structural Dynamic Simulations Using the Multiresolution Finite Wavelet Domain Method

International Journal for Numerical Methods in Engineering, Volume 127, Issue 1, 15 January 2026.
ABSTRACT The multiresolution finite wavelet domain method has been meticulously studied in numerous wave propagation simulations, showing excellent convergence properties and very fast computing times. The multiresolution procedure always starts with the coarse solution, and then finer solutions can be superimposed on the coarse solution until ...
Dimitris Dimitriou, Katerina Samara, Dimitris Saravanos   +2 more
wiley   +1 more source

Numerical Treatment of Singularly Perturbed Two-Point Boundary Value Problems by Using Differential Transformation Method

Discrete Dynamics in Nature and Society, 2012
Differential transform method is adopted, for the first time, for solving linear singularly perturbed two-point boundary value problems. Four numerical examples are given to demonstrate the effectiveness of the present method.
Nurettin Doğan, Vedat Suat Ertürk, Ömer Akın   +2 more
doaj   +1 more source

$N$-widths for singularly perturbed problems [PDF]

Mathematica Bohemica, 2002
Summary: Kolmogorov \(N\)-widths are an approximation theory concept that, for a given problem, yields information about the optimal rate of convergence attainable by any numerical method applied to that problem. We survey sharp bounds recently obtained for the \(N\)-widths of certain singularly perturbed convection-diffusion and reaction-diffusion ...
Stynes, Martin, Bruce Kellogg, R.
openaire   +1 more source