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Mathematics, Volume 14, Issue 8

2026 April-2 - 163 articles

Cover Story: Classical eddy viscosity models add a viscosity term with a turbulent viscosity coefficient developed beginning with the Kolmogorov–Prandtl parameterization. Approximations of unknown accuracy of the unknown mixing lengths and turbulent kinetic energy are typically constructed by solving associated systems of nonlinear convection–diffusion-reaction equations with nonlinear boundary conditions. These often over-diffuse, so additional fixes are added such as wall laws, or different approximations are used in different regions (which must also be specified). Alternately, one can solve an ensemble of NSEs with perturbed data, compute the ensemble mean and fluctuation, and simply directly compute the turbulent viscosity parameterization. This idea is recent. From previous work it seems to be of a lower complexity and greater accuracy. View this paper
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Articles (163)

  • Article
  • Open Access
1 Citations
615 Views
25 Pages

Research on UAV 3D Airspace Signal Strength Prediction Based on Physical Perception Feature Engineering

  • Long Liu,
  • Yapeng Wang,
  • Xu Yang,
  • Sio-Kei Im and ,
  • Xuan Cheng,
  • Lu Huang,
  • Jiaqi Chen and
  • Heng Guan
  • + 3 authors+ 0 author

21 April 2026

With the rapid development of the low-altitude economy, constructing an accurate unmanned aerial vehicle (UAV) air-to-ground channel model is crucial for ensuring communication quality. However, due to the significant fluctuations in UAV operation al...

(This article belongs to the Special Issue Applications of Machine Learning and Pattern Recognition)
  • Article
  • Open Access
551 Views
22 Pages

21 April 2026

This paper studies the reliability and availability of a k-out-of-(M+S) retrial machine repair system with two-way communication, consisting of M primary components and S warm standby components. The system incorporates the retrial behavior of failed...

(This article belongs to the Special Issue Computational Mathematics Methods and Applications in Engineering Science)
  • Feature Paper
  • Article
  • Open Access
440 Views
21 Pages

21 April 2026

Certain extensions of F-controlled self-mappings in metric spaces to the, as called in this manuscript,  Fτ′τ  and modified ∗Fτ′τ controlled self-mappings, which are parameterized by two parameters, are ad...

(This article belongs to the Section C: Mathematical Analysis)
  • Article
  • Open Access
649 Views
30 Pages

21 April 2026

In intensive care units, large-scale clinical time-series data are continuously accumulated through electronic medical records and bedside monitoring systems. However, direct utilization of such data for clinical decision-making remains challenging d...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
899 Views
24 Pages

21 April 2026

We consider the transfer learning problem in the linear regression model, where the source domain and target domain have different features and the model exhibits heteroscedasticity. The existing homogeneous transfer learning methods cannot yet handl...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
2 Citations
559 Views
15 Pages

Algebraic Reduction and Periodic Solvability in a Coupled Ternary Rational System

  • Ahmed Ghezal,
  • Ahmed A. Al Ghafli and
  • Hassan J. Al Salman

21 April 2026

In this paper, we investigate a new class of three-component nonlinear rational difference equations of the second order characterized by structured periodic interactions. Through a carefully designed algebraic transformation and the introduction of...

(This article belongs to the Special Issue Research on Dynamical Systems and Differential Equations, 2nd Edition)
  • Feature Paper
  • Article
  • Open Access
714 Views
24 Pages

An Extended BEM Model for 2-D Elasticity Problems

  • Lei Zhou,
  • Chunguang Li and
  • Hong Zheng

21 April 2026

Within the framework of Somigliana’s displacement and traction identities, we propose an extended equivalent elastic model that enables a BEM that is singularity-free in the primary solution stage for two-dimensional elastostatics. The central...

  • Article
  • Open Access
1,715 Views
42 Pages

21 April 2026

In the context of political and financial market turmoil, effectively forecasting financial market trends is crucial for investment decisions. Large language models (LLMs) have been applied in extant research to predict market trends, analyze investo...

(This article belongs to the Special Issue Artificial Intelligence Techniques in the Financial Services Industry)
  • Article
  • Open Access
966 Views
22 Pages

21 April 2026

Seismic traveltime tomography is essential for constructing subsurface velocity models that underpin high-resolution imaging and inversion. Traditional ray- and eikonal-based methods are sensitive to the starting model and lack a unified, physically...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
3 Citations
1,307 Views
29 Pages

21 April 2026

Financial time series forecasting remains a persistent challenge due to the non-stationary nature, inherent noise, and multi-scale temporal dependencies present in market data. This paper presents MSTFNet, a multi-scale temporal fusion network that c...

  • Article
  • Open Access
757 Views
33 Pages

21 April 2026

Alzheimer’s disease (AD) develops as a progressive dementia condition through the step-by-step breakdown of nerve cells. Neurodegeneration in this context primarily results from metal ions, including copper, iron, zinc, and aluminum, building u...

(This article belongs to the Special Issue Mathematical and Statistical Modeling in Complex Diseases)
  • Article
  • Open Access
619 Views
20 Pages

21 April 2026

To address the low accuracy of faulty feeder detection methods based on single-fault characteristics, we propose a faulty feeder detection method for resonant grounding systems that fuses multiple transient characteristics. First, we analyze the tran...

(This article belongs to the Special Issue Recent Advances in Adaptive Control Theory and Applications for Nonlinear Systems)
  • Article
  • Open Access
842 Views
19 Pages

21 April 2026

Traditional financial early warning models often rely on the independent and identically distributed (IID) assumption, failing to adequately capture cross-sectional spatial contagion effects and temporal dynamic mutations, and are susceptible to the...

(This article belongs to the Special Issue Mathematical Methods for Economics, Finance and Actuarial Sciences)
  • Article
  • Open Access
494 Views
17 Pages

20 April 2026

This paper addresses the stability and stabilization problems of rolling mill main drive systems with time delay. The complete stability problem with respect to the delay parameter is investigated for linearized systems with and without control. The...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
7 Citations
811 Views
25 Pages

The D’Alembert Inevitability Theorem

  • Jonathan Washburn,
  • Milan Zlatanović and
  • Elshad Allahyarov

20 April 2026

We study functions satisfying the composition law F(xy)+F(x/y)=P(F(x),F(y)) with a symmetric polynomial combiner P. We prove that symmetry together with a quadratic degree bound on P forces a composition law of d’Alembert type. We establish a d...

(This article belongs to the Section C: Mathematical Analysis)
  • Article
  • Open Access
718 Views
16 Pages

20 April 2026

In this article, we study scalar-on-function regression with functional covariates observed through replicated measurements subject to measurement error. Treating replicated curves as surrogates of an underlying latent process, the proposed framework...

(This article belongs to the Special Issue Statistical Learning and Data Science: Methods, Theory, and Applications)
  • Article
  • Open Access
1,260 Views
27 Pages

20 April 2026

Background: Topological Data Analysis (TDA) captures multi-scale geometric features of data as persistence diagrams, yet no principled information-theoretic framework quantifies how much information those features carry, how efficiently they compress...

  • Feature Paper
  • Article
  • Open Access
686 Views
21 Pages

Using Negative Power Transformation to Model Block Minima

  • Thanawan Prahadchai,
  • Piyapatr Busababodhin,
  • Taeyong Kwon and
  • Sanghoo Yoon

20 April 2026

This study proposes a novel transformation method for analyzing block minima using the generalized extreme value distribution (GEVD). The negative power transformation (NPT), which includes a tunable hyperparameter and reduces to the reciprocal trans...

(This article belongs to the Special Issue Extreme Value Theory: Theory, Methodology and Applications)
  • Article
  • Open Access
517 Views
22 Pages

20 April 2026

Full fine-tuning of pre-trained models sometimes requires inserting trainable layers into the middle of a pre-trained backbone, but such middle-layer insertion can severely degrade downstream performance. We hypothesize that this degradation arises b...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
780 Views
22 Pages

A Hybrid Method for Optimization Modulo Theory of Floating-Point Numbers

  • Xu Yang,
  • Liantao Song,
  • Jiaqiang Yao,
  • Zhipan Li and
  • Fan Yu

20 April 2026

Optimization Modulo Theory (OMT) is an important extension of Satisfiability Modulo Theory (SMT), aiming to find models that satisfy constraints while optimizing objective functions. OMT naturally arises in program analysis and formal methods, making...

(This article belongs to the Section D2: Operations Research and Fuzzy Decision Making)
  • Feature Paper
  • Article
  • Open Access
1 Citations
486 Views
35 Pages

20 April 2026

Transportation problems constitute a fundamental class of optimization models; however, real-world applications involve uncertainty, hesitation, and expert disagreement that cannot be adequately captured by deterministic or classical fuzzy approaches...

(This article belongs to the Special Issue Advanced Intelligent Algorithms for Decision Making Under Uncertainty)
  • Article
  • Open Access
667 Views
22 Pages

20 April 2026

There are many approaches for training decision trees. This work introduces a novel gradient-based method for constructing decision trees that optimize arbitrary differentiable loss functions, overcoming the limitations of heuristic splitting rules....

(This article belongs to the Special Issue Advances in Artificial Intelligence: Models, Optimization, and Machine Learning, 3rd Edition)
  • Feature Paper
  • Article
  • Open Access
449 Views
8 Pages

20 April 2026

Weak ascent sequences are a generalization of ascent sequences that appear in many combinatorial problems. In this paper, we give a method to find generating functions that count how often a given statistic τ appears in weak ascent sequences of l...

(This article belongs to the Special Issue Advances in Combinatorics, Discrete Mathematics and Graph Theory, 2nd Edition)
  • Article
  • Open Access
716 Views
19 Pages

Adaptive Recursive Model Predictive Current Control for Linear Motor Drives in CNC Machine Tools Based on Cartesian Distance Minimization

  • Lin Song,
  • Ziling Nie,
  • Jun Sun,
  • Yangwei Zhou and ,
  • Jingxin Yuan and
  • Huayu Li
  • + 1 author+ 0 author

20 April 2026

With the increasing demand for high speed and high-precision motion control in CNC machine tools, permanent magnet linear synchronous motors (PMLSMs) have been widely adopted in feed drive systems due to their excellent dynamic performance and positi...

(This article belongs to the Special Issue Advances in Control Theory and Applications in Energy Systems)
  • Article
  • Open Access
741 Views
18 Pages

Optimization of Multi-Scale Feature Extraction and Loss Functions in YOLOv8 for Insulator Defect Detection

  • Meng Su,
  • Shuailun Geng,
  • Hong Yu,
  • Shuai Zhou and ,
  • Lihua Zhou and
  • Jiao Luo
  • + 1 author+ 0 author

19 April 2026

To address the challenges of high miss detection rates and accuracy degradation in UAV-based insulator defect detection—primarily stemming from complex background interference and the loss of fine-grained features—this paper presents an o...

(This article belongs to the Special Issue Optimization Models and Algorithms in Data Science, 2nd Edition)
  • Feature Paper
  • Article
  • Open Access
679 Views
23 Pages

19 April 2026

In urban traffic systems, traditional signal control can no longer meet the increasing traffic demand, and local congestion is severe during peak hours. Fixed detector data is characterized by high deployment density, full sample detection and restor...

(This article belongs to the Special Issue Application of Mathematical Methods to Transportation: Modeling and Analysis)
  • Article
  • Open Access
750 Views
36 Pages

An Improved Parrot Optimization Algorithm Applied to Engineering Optimization Problems

  • Yueqiao Yang,
  • Mingyuan Li,
  • Minhao Qu,
  • Yang Gao and ,
  • Liang Zhao and
  • Boni Du
  • + 1 author+ 0 author

19 April 2026

Metaheuristic algorithms have become effective tools for solving complex engineering optimization problems. The Parrot Optimization (PO) algorithm is a recently proposed method with promising performance; however, it still suffers from premature conv...

  • Article
  • Open Access
689 Views
28 Pages

19 April 2026

Stain variability in digital pathology affects both cross-center diagnostic consistency and the robustness of downstream computational analysis. In this work, we formulate stain normalization as a variational inverse problem and derive a Screened Poi...

(This article belongs to the Special Issue Numerical and Computational Methods in Engineering, 2nd Edition)
  • Article
  • Open Access
515 Views
20 Pages

19 April 2026

In this paper, we study the weighted approximation properties of a family of Szász–Mirakyan-type operators preserving two exponential functions on the unbounded interval [0,∞). The operators act on exponential weighted spaces and a...

(This article belongs to the Special Issue Recent Developments in Theoretical and Applied Mathematics)
  • Article
  • Open Access
531 Views
17 Pages

19 April 2026

The rapid expansion of the Internet of Vehicles (IoV) necessitates high-capacity backhaul connectivity, yet the deployment of such networks under strict hardware and power constraints poses significant computational challenges for network optimizatio...

(This article belongs to the Special Issue Computational Methods for Network Optimization and Security)
  • Article
  • Open Access
1 Citations
897 Views
31 Pages

19 April 2026

Event detection is crucial for disaster response, public safety, and trend analysis, enabling real-time identification of critical events. Social media platforms provide a vast content source, offering timely and diverse event coverage compared to tr...

(This article belongs to the Special Issue Deep Representation Learning for Social Network Analysis)
  • Article
  • Open Access
605 Views
25 Pages

19 April 2026

Adversarial examples reveal critical vulnerabilities in deep neural networks, posing significant risks in real-world deployment. In black-box settings, transferable targeted attacks rely on surrogate models but often suffer from low success rates. We...

(This article belongs to the Special Issue Advanced Research in Neural Networks, Machine Learning, and Image Processing)
  • Feature Paper
  • Article
  • Open Access
628 Views
29 Pages

19 April 2026

Recent automated search methods have improved lower bounds for several Ramsey numbers, but the strongest gains often depend on structured seeding and cell-specific heuristic discovery. This leaves open a more fundamental question: Can a useful search...

(This article belongs to the Special Issue Advances in Graph Labelings and Ramsey Theory in Discrete Structures)
  • Article
  • Open Access
15 Citations
929 Views
20 Pages

19 April 2026

Physical coupling, nonlinearity and uncertainty degrade the dynamic performance of electro-hydraulic servo systems, particularly under conditions involving input delays, leading to reduced trajectory tracking accuracy or even system instability. Thes...

(This article belongs to the Special Issue Advanced Control of Complex Dynamical Systems and Robotics with Applications)
  • Feature Paper
  • Article
  • Open Access
648 Views
35 Pages

18 April 2026

This study investigates a single-machine throughput maximization problem (TMP), in which each job is characterized by a processing time, ready date, due date, and weight, and must be completed within its time window to yield profit. The objective is...

(This article belongs to the Special Issue Optimization Models and Algorithms in Operations Management)
  • Review
  • Open Access
8 Citations
1,649 Views
41 Pages

A Survey on Preference-Based Multi-Objective Evolutionary Algorithms

  • Yi Ren,
  • Yuxin Qi,
  • Dezhen Yang,
  • Ruifeng Xiang and ,
  • Qianxu Nie,
  • Keyi Zhou,
  • Yanjie Song and
  • Yue Zhang
  • + 3 authors+ 0 author

18 April 2026

Multi-objective optimization problems (MOPs) are ubiquitous in scientific research and engineering applications, where multiple conflicting objectives must be optimized simultaneously. Unlike traditional multi-objective evolutionary algorithms, which...

(This article belongs to the Special Issue Multi-Objective Evolutionary Algorithms and Their Applications)
  • Article
  • Open Access
3 Citations
622 Views
28 Pages

The q-Deformed Lindley Distribution: Properties, Statistical Inference, and Applications

  • Mahmoud M. El-Awady,
  • Hanan Haj Ahmad,
  • Yazan Rabaiah and
  • Ahmed T. Ramadan

18 April 2026

This paper introduces a q-deformed extension of the Lindley distribution. This extension is obtained by replacing the classical exponential with the q-exponential function from Tsallis non-extensive statistical techniques. This transformation offers...

(This article belongs to the Special Issue Advances in Flexible Parametric Distributions for Modeling Skewness and Kurtosis)
  • Article
  • Open Access
1 Citations
1,437 Views
29 Pages

18 April 2026

Multivariate time series forecasting (TSF) is a fundamental task in intelligent systems, yet accurate and efficient modeling remains challenging under high dimensionality, non-stationarity, and complex cross-variate dependencies. The Mamba architectu...

(This article belongs to the Special Issue Innovative Methods in Long Sequence Forecasting and Time Series Analysis)
  • Article
  • Open Access
782 Views
27 Pages

Performance of PINN Framework for Two-Phase Displacement in Complex Casing–Annulus Geometries

  • Dayang Wen,
  • Junduo Wang,
  • Qi Song,
  • Rui Xu and ,
  • Zixin Guo and
  • Fushen Liu
  • + 1 author+ 0 author

18 April 2026

Two-phase displacement between cement slurry and drilling fluid in wellbore systems is inherently nonlinear, interface-dominated, and strongly affected by geometric confinement, posing substantial challenges to efficient and stable numerical simulati...

(This article belongs to the Special Issue New Advances in Physics-Informed Machine Learning)
  • Feature Paper
  • Article
  • Open Access
1 Citations
1,249 Views
32 Pages

Macro–Market Fusion with Cross-Attention for Equity Return Prediction

  • Janit Rajkarnikar,
  • Sibin Joshi and
  • Zhaoxian Zhou

18 April 2026

Macroeconomic conditions are widely believed to influence the direction of equity markets, yet most forecasting models either ignore macroeconomic information or incorporate it through a small set of ad hoc predictors. We propose XAttnFusion, a macro...

(This article belongs to the Section E5: Financial Mathematics)
  • Article
  • Open Access
1 Citations
599 Views
28 Pages

Time-Reversible Synchronization of Chua Circuits for Edge Intelligent Sensors

  • Artur Karimov,
  • Kirill Shirnin,
  • Ivan Babkin,
  • Pavel Burundukov and ,
  • Vyacheslav Rybin and
  • Denis Butusov
  • + 1 author+ 0 author

18 April 2026

Time-reversible synchronization (TRS) of nonlinear oscillators is a recently proposed technique that ensures super-exponential convergence of dynamics between master and slave systems, which is beneficial in many real-time applications. Nevertheless,...

(This article belongs to the Special Issue Advances in Dynamical Systems: Stability, Bifurcation, and Chaos with Applications)
  • Article
  • Open Access
409 Views
13 Pages

18 April 2026

The three main IBE schemes, i.e., Boneh–Franklin, Cocks and Boneh–Gentry–Hamburg present both strengths and weaknesses. In this paper, we introduce a more efficient variant of BGH (while preserving receiver’s anonymity) based...

(This article belongs to the Special Issue Computational Methods for Cryptography and Security)
  • Review
  • Open Access
810 Views
21 Pages

Recent Advancements in Active Learning

  • Bokyung Amy Kwon and
  • Kyungtae Kang

18 April 2026

Active learning (AL) aims to maximize model performance while minimizing annotation costs. With the rapid adoption of deep learning, AL approaches have evolved to meet contemporary demands. We systematically examine the literature published from 2018...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
633 Views
20 Pages

18 April 2026

Federated learning enables privacy-preserving distributed intelligence but faces challenges in balancing computation, communication, and privacy in heterogeneous networks. To address these issues, this paper proposes a privacy-preserving U-shaped spl...

(This article belongs to the Special Issue Federated Learning and Edge Intelligence: Mathematical Models, Algorithms, and Applications)
  • Article
  • Open Access
3 Citations
823 Views
22 Pages

Hybrid Application of Multi-Criteria Decision-Making Methods for Municipal Investments: A Case Study Focusing on Equity in Istanbul

  • Melike Cari,
  • Betul Kara,
  • Nezir Aydin,
  • Bahar Yalcin Kavus and ,
  • Tolga Kudret Karaca and
  • Ertugrul Ayyildiz
  • + 1 author+ 0 author

18 April 2026

Equitable prioritization of public investments is increasingly critical as municipalities face constrained budgets, heterogeneous neighborhood needs, and demands for transparent decisions. This paper proposes a fairness-aware group multi-criteria dec...

(This article belongs to the Special Issue Advances in Multi-Criteria Decision Making Methods with Applications)
  • Article
  • Open Access
1 Citations
649 Views
26 Pages

17 April 2026

Financial fraud is still one of the most important threats to the financial industry, causing enormous economic losses and mounting difficulties for conventional fraud detection systems. The systems tend to face challenges in dealing with the rising...

  • Article
  • Open Access
2 Citations
623 Views
21 Pages

On Fractional Discrete-Time Power Systems: Chaos, Complexity and Control

  • Omar Kahouli,
  • Imane Zouak,
  • Sulaiman Almohaimeed,
  • Adel Ouannas and ,
  • Lilia El Amraoui and
  • Mohamed Ayari
  • + 1 author+ 0 author

17 April 2026

In this paper, based on the Caputo-like delta fractional difference operator, we will present a fractional discrete model of a 4D Power System. We present an extension of the popular integer-order single-machine infinite-bus formulation to two fracti...

(This article belongs to the Special Issue Mathematical Modeling and Control for Engineering Applications)
  • Article
  • Open Access
1 Citations
536 Views
32 Pages

17 April 2026

To improve the decoding performance of multi-edge type low-density parity-check (MET-LDPC) codes, this paper proposes an edge-type differentiated parameter coupling offset min-sum (EDPC-OMS) decoding algorithm. The contributions are threefold. First,...

(This article belongs to the Section E: Applied Mathematics)
  • Feature Paper
  • Article
  • Open Access
920 Views
26 Pages

Optimal Partitioning Changepoint Analysis

  • Vittorio Maniezzo and
  • Lisa Vecchi

17 April 2026

Detecting changepoints in time series is a fundamental task in statistical modeling and data-driven decision-making. We introduce a novel set partitioning-based model for changepoint detection that leverages combinatorial optimization to identify an...

(This article belongs to the Special Issue Advances in Time Series Forecasting with Applications)
  • Article
  • Open Access
562 Views
27 Pages

17 April 2026

The increasing penetration of photovoltaic (PV) systems in distribution networks has introduced new challenges in voltage regulation and energy loss mitigation, particularly under time-varying loading conditions. This paper presents a constrained mul...

(This article belongs to the Special Issue Mathematical Methods Applied in Power Systems, 2nd Edition)

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Mathematics - ISSN 2227-7390