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Mathematics
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Mathematics and Its Applications in Science and Engineering, 3rd Edition
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Mathematics and Its Applications in Science and Engineering, 3rd Edition

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Engineering Mathematics".

Deadline for manuscript submissions: 31 March 2025 | Viewed by 2579

Special Issue Editors

Dr. Víctor Gayoso Martínez

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Guest Editor
Data Research & Computation Group (DRACO), Centro Universitario de Tecnología y Arte Digital (U-Tad), Las Rozas de Madrid, 28290 Madrid, Spain
Interests: cryptography; elliptic curves; java; smart cards; biometrics
Special Issues, Collections and Topics in MDPI journals
Dr. Fatih Yilmaz

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Guest Editor
Department of Mathematics, Ankara Hacı Bayram Veli University, Çankaya, Ankara 06570, Turkey
Interests: matrix theory; number theory; graph theory; combinatorics
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Araceli Queiruga-Dios

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Guest Editor
Department of Applied Mathematics, School of Industrial Engineering, University of Salamanca, 37008 Salamanca, Spain
Interests: cryptography; algorithms; applied mathematics; applied and computational mathematics
Special Issues, Collections and Topics in MDPI journals
Dr. Ion Mierlus-Mazilu

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Guest Editor
Department of Mathematics and Computer Science, Technical University of Civil Engineering of Bucharest, 020396 Bucharest, Romania
Interests: applications of probability and statistics; operational research; numerical analysis and numerical methods; mathematical and informatics education based on e/m/u-Learning
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Deolinda M. L. Dias Rasteiro

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Department of Mathematics and Physics, Coimbra Polytechnic—ISEC, 3045-093 Coimbra, Portugal
Interests: network optimization; image processing; research on new methods to present mathematics to students
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Prof. Dr. Jesús Martín Vaquero

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Guest Editor
Department of Applied Mathematics, Institute of Fundamental Physics and Mathematics, Universidad de Salamanca, 37008 Salamanca, Spain
Interests: Runge–Kutta methods for nonlinear PDEs; approximation theory; mathematical education
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

This Special Issue accepts papers about new and innovative proposals of mathematics in science and engineering, i.e., the use of mathematics in non-mathematical contexts will be considered. We aim to publish results from mathematics applications, such as the use of differential equations to model structures, the shape of a machine or the growth of a population, or to assure information security through cryptographic protocols.

The added value is that it will include results from recent years, which will allow readers to keep up to date.

In recent years, mathematical education has been changing and taking on a different role in undergraduate and graduate degrees. Recent changes in the educational paradigm demand a comprehensive revision of the teaching and learning methodologies. The innovation in educational contexts should reach a consensus in the way mathematical competencies are evaluated. In this Special Issue we aim to integrate different methodologies for mathematical education, and how they are evaluated.

Potential topics include, but are not limited to:

  • Mathematical modelling for science and engineering applications;
  • Optimization and control in engineering applications;
  • Numerical methods for science and engineering applications;
  • Mathematics in engineering and sciences studies;
  • Good practices in motivating students for learning mathematics during university studies;
  • Assessing mathematics using applications and projects;
  • Teaching and assessment methodologies in science and engineering.

Dr. Víctor Gayoso Martínez
Dr. Fatih Yilmaz
Prof. Dr. Araceli Queiruga-Dios
Dr. Ion Mierlus-Mazilu
Prof. Dr. Deolinda M. L. Dias Rasteiro
Prof. Dr. Jesús Martín Vaquero
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Related Special Issue

Published Papers (4 papers)

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Research

26 pages, 4851 KiB  
Article
Light-Fueled Self-Propulsion of Liquid Crystal Elastomer-Engined Automobiles in Zero-Energy Modes
by Zongsong Yuan, Yuntong Dai, Junxiu Liu and Kai Li
Mathematics 2024, 12(13), 2109; https://doi.org/10.3390/math12132109 - 4 Jul 2024
Viewed by 321
Abstract
The defining attribute of self-excited motion is its capability to extract energy from a stable environment and regulate it autonomously, making it an extremely promising innovation for microdevices, autonomous robotics, sensor technologies, and energy generation. Based on the concept of an automobile, we [...] Read more.
The defining attribute of self-excited motion is its capability to extract energy from a stable environment and regulate it autonomously, making it an extremely promising innovation for microdevices, autonomous robotics, sensor technologies, and energy generation. Based on the concept of an automobile, we propose a light-fueled self-propulsion of liquid crystal elastomer-engined automobiles in zero-energy mode. This system utilizes a wheel comprising a liquid crystal elastomer (LCE) turntable as an engine, a wheel with conventional material and a linkage. The dynamic behavior of the self-propulsion automobile under steady illumination is analyzed by integrating a nonlinear theoretical model with an established photothermally responsive LCE model. We performed the analysis using the fourth-order Runge–Kutta method. The numerical findings demonstrate the presence of two separate motion patterns in the automobile system: a static pattern and a self-propulsion pattern. The correlation between the energy input and energy dissipation from damping is essential to sustain the repetitive motion of the system. This study delves deeper into the crucial requirements for initiating self-propulsion and examines the effect of critical system parameters on the motion of the system. The proposed system with zero-energy mode motions has the advantage of a simple structural design, easy control, low friction and stable kinematics, and it is very promising for many future uses, including energy harvesting, monitoring, soft robotics, medical devices, and micro- and nano-devices. Full article
(This article belongs to the Special Issue Mathematics and Its Applications in Science and Engineering, 3rd Edition)
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15 pages, 647 KiB  
Article
Analyzing Convergence in Sequences of Uncountable Iterated Function Systems—Fractals and Associated Fractal Measures
by Ion Mierluș–Mazilu and Lucian Niță
Mathematics 2024, 12(13), 2106; https://doi.org/10.3390/math12132106 - 4 Jul 2024
Viewed by 231
Abstract
In this paper, we examine a sequence of uncountable iterated function systems (U.I.F.S.), where each term in the sequence is constructed from an uncountable collection of contraction mappings along with a linear and continuous operator. Each U.I.F.S. within the sequence is associated with [...] Read more.
In this paper, we examine a sequence of uncountable iterated function systems (U.I.F.S.), where each term in the sequence is constructed from an uncountable collection of contraction mappings along with a linear and continuous operator. Each U.I.F.S. within the sequence is associated with an attractor, which represents a set towards which the system evolves over time, a Markov-type operator that governs the probabilistic behavior of the system, and a fractal measure that describes the geometric and measure-theoretic properties of the attractor. Our study is centered on analyzing the convergence properties of these systems. Specifically, we investigate how the attractors and fractal measures of successive U.I.F.S. in the sequence approach their respective limits. By understanding the convergence behavior, we aim to provide insights into the stability and long-term behavior of such complex systems. This study contributes to the broader field of dynamical systems and fractal geometry by offering new perspectives on how uncountable iterated function systems evolve and stabilize. In this paper, we undertake a comprehensive examination of a sequence of uncountable iterated function systems (U.I.F.S.), each constructed from an uncountable collection of contraction mappings in conjunction with a linear and continuous operator. These systems are integral to our study as they encapsulate complex dynamical behaviors through their association with attractors, which represent sets towards which the system evolves over time. Each U.I.F.S. within the sequence is governed by a Markov-type operator that dictates its probabilistic behavior and is described by a fractal measure that captures the geometric and measure-theoretic properties of the attractor. The core contributions of our work are presented in the form of several theorems. These theorems tackle key problems and provide novel insights into the study of measures and their properties in Hilbert spaces. The results contribute to advancing the understanding of convergence behaviors, the interaction of Dirac measures, and the applications of Monge–Kantorovich norms. These theorems hold significant potential applications across various domains of functional analysis and measure theory. By establishing new results and proving critical properties, our work extends existing frameworks and opens new avenues for future research. This paper contributes to the broader field of mathematical analysis by offering new perspectives on how uncountable iterated function systems evolve and stabilize. Our findings provide a foundational understanding that can be applied to a wide range of mathematical and real-world problems. By highlighting the interplay between measure theory and functional analysis, our work paves the way for further exploration and discovery in these areas, thereby enriching the theoretical landscape and practical applications of these mathematical concepts. Full article
(This article belongs to the Special Issue Mathematics and Its Applications in Science and Engineering, 3rd Edition)
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15 pages, 3415 KiB  
Article
Exploring Sustainability and Efficiency of Production Models in the Spanish Beef Cattle Industry through External Logistic Biplot
by María Anciones-Polo, Miguel Rodríguez-Rosa, Araceli Queiruga-Dios and Purificación Vicente-Galindo
Mathematics 2024, 12(13), 1975; https://doi.org/10.3390/math12131975 - 26 Jun 2024
Viewed by 906
Abstract
Livestock farming, especially the beef cattle sector, plays a crucial role in the economy and social and environmental balance and occupies a prominent position in Spain. The aim of this study is to highlight the positive impact of this sector in socioeconomic, food, [...] Read more.
Livestock farming, especially the beef cattle sector, plays a crucial role in the economy and social and environmental balance and occupies a prominent position in Spain. The aim of this study is to highlight the positive impact of this sector in socioeconomic, food, natural heritage conservation, and environmental management aspects in order to obtain an accurate profile of the national panorama and to propose sample subgroups. For this purpose, 252 beef cattle farms in Spain were examined in detail, and the external logistic biplot (ELB) was used with a multivariate approach and from an algebraic and computational perspective. By addressing aspects such as infrastructure, feeding strategies, waste management, biodiversity, productivity, and sustainability, similarities and differences between cattle farms have been obtained, providing an analytical tool for the livestock sector and generating key knowledge on its functioning and contributions to society and the environment. The analysis revealed accuracy in the zootechnical classification of livestock farms, their feeding strategies, and genetics. Finally, significant regional differences in prevailing livestock practices were identified. Full article
(This article belongs to the Special Issue Mathematics and Its Applications in Science and Engineering, 3rd Edition)
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16 pages, 4304 KiB  
Article
PDE-Constrained Scale Optimization Selection for Feature Detection in Remote Sensing Image Matching
by Yunchao Peng, Bin Zhou and Feng Qi
Mathematics 2024, 12(12), 1882; https://doi.org/10.3390/math12121882 - 17 Jun 2024
Viewed by 347
Abstract
Feature detection and matching is the key technique for remote sensing image processing and related applications. In this paper, a PDE-constrained optimization model is proposed to determine the scale levels advantageous for feature detection. A variance estimation technique is introduced to treat the [...] Read more.
Feature detection and matching is the key technique for remote sensing image processing and related applications. In this paper, a PDE-constrained optimization model is proposed to determine the scale levels advantageous for feature detection. A variance estimation technique is introduced to treat the observation optical images polluted by additive zero-mean Gaussian noise and determine the parameter of a nonlinear scale space governed by the partial differential equation. Additive Operator Splitting is applied to efficiently solve the PDE constraint, and an iterative algorithm is proposed to approximate the optimal subset of the original scale level set. The selected levels are distributed more uniformly in the total variation sense and helpful for generating more accurate and robust feature points. The experimental results show that the proposed method can achieve about a 30% improvement in the number of correct matches with only a small increase in time cost. Full article
(This article belongs to the Special Issue Mathematics and Its Applications in Science and Engineering, 3rd Edition)
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