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Mathematical and Computational Applications, Volume 30, Issue 5

2025 October - 25 articles

Cover Story: Supersonic flow plays a critical role in aerospace engineering, with applications in both internal and external aerodynamics. The determination of high-velocity flow properties around bodies has been the focus of extensive theoretical, numerical, and experimental studies. Computational Fluid Dynamics (CFD) simulations are increasingly employed to analyze supersonic flows, and the choice of numerical method is pivotal in such simulations. A second-order Kurganov–Tadmor scheme in curvilinear coordinates is developed to analyze external supersonic flow over bodies of various shapes. This scheme is capable of handling interfaces across different regions of the domain. A fourth-order Runge–Kutta temporal integrator is implemented, and several test cases are conducted to validate the performance of the proposed scheme. View this paper
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Articles (25)

  • Editorial
  • Open Access
848 Views
2 Pages

Editorial for the Special Issue Dedicated to Professor J.N. Reddy

  • Nicholas Fantuzzi,
  • Michele Bacciocchi,
  • Eugenio Ruocco,
  • Maria Amélia Ramos Loja and
  • Jose Antonio Loya

This Special Issue of Mathematical and Computational Applications is devoted to innovative mathematical and computational approaches in applied mechanics and is dedicated to Professor J [...]

(This article belongs to the Special Issue Mathematical and Computational Approaches in Applied Mechanics: A Themed Issue Dedicated to Professor J.N. Reddy)
  • Article
  • Open Access
1 Citations
1,885 Views
23 Pages

An Exposition on the Kaniadakis κ-Deformed Decay Differential Equation

  • Rohan Bolle,
  • Ibrahim Jarra and
  • Jeffery A. Secrest

Kaniadakis deformed κ-mathematics is an area of mathematics that has found relevance in the analysis of complex systems. Specifically, the mathematical framework in the context of a first-order decay κ-differential equation is investigate...

(This article belongs to the Special Issue Feature Papers in Mathematical and Computational Applications 2025)
  • Article
  • Open Access
1 Citations
2,127 Views
30 Pages

Numerous industries have begun using cloud computing. Among other things, this presents a plethora of novel security and dependability concerns. Thoroughly verifying cloud solutions to guarantee their correctness is beneficial, just like with any oth...

  • Article
  • Open Access
2 Citations
1,770 Views
18 Pages

Thrinax radiata Seed Germplasm Dynamics Analysis Assisted by Chaos Theory

  • Hilario Martines-Arano,
  • Marina Vera-Ku,
  • Ricardo Álvarez-Espino,
  • Luis Enrique Vivanco-Benavides,
  • Claudia Lizbeth Martínez-González and
  • Carlos Torres-Torres

This study examines the contrast in the nonlinear dynamics of Thrinax radiata Lodd. ex Schult. & Schult. f. Seed germplasm explored by optical and electrical signals. By integrating chaotic attractors for the modulation of the optical and electri...

(This article belongs to the Special Issue Feature Papers in Mathematical and Computational Applications 2025)
  • Article
  • Open Access
6 Citations
1,705 Views
15 Pages

This paper proposes a finite-time adaptive observer with online disturbance learning for time-varying disturbed systems. By integrating parameter-dependent Lyapunov functions and slack matrix techniques, the method eliminates conservative static dist...

(This article belongs to the Special Issue Applied Optimization in Automatic Control and Systems Engineering)
  • Article
  • Open Access
801 Views
19 Pages

We study a stochastic differential model for the dynamics of institutional corruption, extending a deterministic three-variable system—corruption perception, proportion of sanctioned acts, and policy laxity—by incorporating Gaussian pertu...

(This article belongs to the Section Social Sciences)
  • Article
  • Open Access
861 Views
24 Pages

Saddle Points of Partial Augmented Lagrangian Functions

  • Longfei Huang,
  • Jingyong Tang,
  • Yutian Wang and
  • Jinchuan Zhou

In this paper, we study a class of optimization problems with separable constraint structures, characterized by a combination of convex and nonconvex constraints. To handle these two distinct types of constraints, we introduce a partial augmented Lag...

  • Article
  • Open Access
936 Views
21 Pages

This paper solves the stabilization problem of the continuous-time switched systems with partly unstabilizable subsystems subject to actuator saturation and data quantization. The static quantizer is designed by properly restraining the density of th...

(This article belongs to the Section Engineering)
  • Article
  • Open Access
2 Citations
1,719 Views
18 Pages

Using Non-Lipschitz Signum-Based Functions for Distributed Optimization and Machine Learning: Trade-Off Between Convergence Rate and Optimality Gap

  • Mohammadreza Doostmohammadian,
  • Amir Ahmad Ghods,
  • Alireza Aghasi,
  • Zulfiya R. Gabidullina and
  • Hamid R. Rabiee

In recent years, the prevalence of large-scale datasets and the demand for sophisticated learning models have necessitated the development of efficient distributed machine learning (ML) solutions. Convergence speed is a critical factor influencing th...

  • Article
  • Open Access
3 Citations
3,284 Views
27 Pages

Energy Optimization of Compressed Air Systems with Screw Compressors Under Variable Load Conditions

  • Guillermo José Barroso García,
  • José Pedro Monteagudo Yanes,
  • Luis Angel Iturralde Carrera,
  • Carlos D. Constantino-Robles,
  • Brenda Juárez Santiago,
  • Juan Manuel Olivares Ramírez,
  • Omar Rodriguez Abreo and
  • Juvenal Rodríguez-Reséndiz

This study evaluates the energy performance of a BOGE C 22-2 oil-injected rotary screw compressor under real industrial conditions. Using direct measurements with a power quality analyzer and thermodynamic modeling, key performance indicators such as...

(This article belongs to the Special Issue Applied Optimization in Automatic Control and Systems Engineering)
  • Article
  • Open Access
3 Citations
2,192 Views
37 Pages

28 September 2025

The Generalized Tempered Stable (GTS) distribution extends classical stable laws through exponential tempering, preserving the power-law behavior while ensuring finite moments. This makes it especially suitable for modeling heavy-tailed financial dat...

  • Feature Paper
  • Article
  • Open Access
1 Citations
1,374 Views
19 Pages

24 September 2025

This study extends the Theory of Functional Connections, previously applied to constraints specified at discrete points, to encompass continuous integral constraints of the form ∫x0xff(x,t)dx=I(t), where I(t) can be a constant, a prescribed funct...

(This article belongs to the Section Engineering)
  • Article
  • Open Access
1 Citations
1,162 Views
18 Pages

Many-Objective Intelligent Scheduling Optimization Algorithm for Complex Integrated System

  • Yanwei Sang,
  • Yan Xu,
  • Cai Zhang,
  • Zongming Zhu and
  • Liang Liang

24 September 2025

Due to the increasing consumer demand for custom products, aluminum alloy component creep forming manufacturing has shifted towards production modes designed for multiple varieties and small batches, leading to problems such as complex production org...

  • Article
  • Open Access
1,923 Views
12 Pages

20 September 2025

We present a fully discrete splitting-Galerkin scheme for second-order, non-autonomous abstract Cauchy problems with time-dependent perturbations. By reformulating the second-order equation as a first-order system in the product space, we apply a Gal...

(This article belongs to the Topic Numerical Methods for Partial Differential Equations)
  • Systematic Review
  • Open Access
9 Citations
3,981 Views
25 Pages

Measuring Circular Economy with Data Envelopment Analysis: A Systematic Literature Review

  • Svetlana V. Ratner,
  • Andrey V. Lychev,
  • Elisaveta D. Muravleva and
  • Daniil M. Muravlev

17 September 2025

This article presents a systematic literature review of data envelopment analysis (DEA) models used to evaluate circular economy (CE) practices. The review is based on 151 peer-reviewed articles published between 2015 and 2024. By analyzing this coll...

(This article belongs to the Special Issue Feature Papers in Mathematical and Computational Applications 2025)
  • Article
  • Open Access
2 Citations
4,190 Views
20 Pages

HGREncoder: Enhancing Real-Time Hand Gesture Recognition with Transformer Encoder—A Comparative Study

  • Luis Gabriel Macías,
  • Jonathan A. Zea,
  • Lorena Isabel Barona,
  • Ángel Leonardo Valdivieso and
  • Marco E. Benalcázar

16 September 2025

In the field of Hand Gesture Recognition (HGR), Electromyography (EMG) is used to detect the electrical impulses that muscles emit when a movement is generated. Currently, there are several HGR models that use EMG to predict hand gestures. However, m...

(This article belongs to the Special Issue New Trends in Computational Intelligence and Applications 2025)
  • Article
  • Open Access
7 Citations
1,362 Views
22 Pages

15 September 2025

This study conducts an in-depth analysis of the dynamical characteristics and solitary wave solutions of the integrable Zhanbota-IIA equation through the lens of planar dynamic system theory. This research applies Lie symmetry to convert nonlinear pa...

(This article belongs to the Section Natural Sciences)
  • Article
  • Open Access
1 Citations
1,068 Views
17 Pages

11 September 2025

In this work, the distributed average consensus for dynamical networks with Lipschitz nonlinear dynamics is studied, where the network communication switches quickly among a set of directed and balanced switching graphs. Differing from existing resea...

(This article belongs to the Topic Fractional Calculus, Symmetry Phenomenon and Probability Theory for PDEs, and ODEs)
  • Article
  • Open Access
1 Citations
1,967 Views
16 Pages

The Extended Goodwin Model and Wage–Labor Paradoxes Metric in South Africa

  • Tichaona Chikore,
  • Miglas Tumelo Makobe and
  • Farai Nyabadza

10 September 2025

This study extends the post-Keynesian framework for cyclical economic growth, initially proposed by Goodwin in 1967, by integrating government intervention to stabilize employment amidst wage mismatches. Given the pressing challenges of unemployment...

(This article belongs to the Section Natural Sciences)
  • Article
  • Open Access
1 Citations
2,148 Views
15 Pages

10 September 2025

Addressing the prevalent challenges of inadequate detection accuracy and sluggish detection speed encountered by police patrol robots during security patrols, we propose an innovative algorithm based on the YOLOv8 model. Our method consists of substi...

(This article belongs to the Section Engineering)
  • Article
  • Open Access
3 Citations
4,446 Views
29 Pages

Multi-Objective Optimization in Virtual Power Plants for Day-Ahead Market Considering Flexibility

  • Mohammad Hosein Salehi,
  • Mohammad Reza Moradian,
  • Ghazanfar Shahgholian and
  • Majid Moazzami

This research proposes a novel multi-objective optimization framework for virtual power plants (VPPs) operating in day-ahead electricity markets. The VPP integrates diverse distributed energy resources (DERs) such as wind turbines, solar photovoltaic...

(This article belongs to the Section Engineering)
  • Article
  • Open Access
3 Citations
4,018 Views
23 Pages

This study evaluates the performance of count regression models in the presence of zero inflation, outliers, and overdispersion using both simulated and real-world maternal mortality dataset. Traditional Poisson and negative binomial regression model...

  • Article
  • Open Access
9 Citations
3,939 Views
18 Pages

Predicting the mechanical performance of Engineered Cementitious Composite (ECC)-strengthened reinforced concrete (RC) beams is both meaningful and challenging. Although existing methods each have their advantages, traditional numerical simulations s...

  • Article
  • Open Access
1,641 Views
21 Pages

Recent advances in medical research have improved survival outcomes for patients with life-threatening diseases. As a result, the existence of long-term survivors from these illnesses is becoming common. However, conventional models in survival analy...

  • Feature Paper
  • Article
  • Open Access
1 Citations
1,798 Views
21 Pages

Application of the Kurganov–Tadmor Scheme in Curvilinear Coordinates for Supersonic Flow

  • Sebastián Bertolo,
  • Sergio Elaskar and
  • Luis Gutiérrez Marcantoni

In this current study, we developed a second-order Kurganov–Tadmor scheme in curvilinear coordinates to analyze the external supersonic flow over bodies of various shapes. This scheme is capable of handling interfaces across different regions o...

(This article belongs to the Special Issue Feature Papers in Mathematical and Computational Applications 2025)
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Math. Comput. Appl. - ISSN 2297-8747