Mathematical Methods for Engineering Applications: Icmase 2023, Madrid, Spain, July 12-14

這些論文收集了在2023年7月12日至14日由西班牙馬德里的科技與數位藝術大學（U-tad）舉辦的第四屆國際數學與科學工程應用研討會（ICMASE 2023）上發表的經過同行評審的精選論文。

本卷論文涵蓋了數學在科學和工程應用中的新發展，重點放在對現實世界問題進行數學和計算建模。主題涵蓋從使用微分方程模擬機械結構到利用數論在信息安全和密碼學的發展中的應用。還涉及到工程和科學學生在各個大學層次上獲得數學能力的教育問題。

研究人員、從業人員和大學生可以從本卷中獲益，尤其是那些尋求在各種情境和領域中應用數學的高級方法的人。

Víctor Gayoso Martínez was born in Madrid (Spain) in 1975. He graduated in Telecommunications Engineering from the Universidad Politécnica de Madrid in 2002. He obtained his Doctorate from the same university in 2010. Since 1998 he has worked on topics related to mathematics, cryptography, smart cards and Java technology in private companies (Telefónica), public research organisations (Spanish National Research Council, CSIC) and universities (Universidad Francisco de Vitoria and U-tad). He has published more than 25 articles in international journals and participated in more than 45 international conferences. He is the co-author of two books on Elliptic Curve Cryptography and Cyber Security. He currently teaches at Centro Universitario de Tecnología y Arte Digital (U-tad).

Prof. Dr. Fatih Yılmaz is full Professor in the Department of Mathematics at the Ankara Hacı Bayram Veli University, Turkey. He obtained his PhD (2013) in Selçuk University (Konya). He is co-author of over 50 papers, and numerous contributions to workshops and conference talks and organizations. He is Editorial Member of the Turkish Journal of Mathematics and Computer Science, and participated as Invited Editor in Special Issues of journals. He has also participated in numerous European, National and Regional funding projects, and he obtained some mobility grants to stay at the Central European University (Budapest) and Coimbra University (Coimbra). His current research interests include the applications of matrix theory, graph theory, number theory and mathematical education based on projects and competencies. He serves as a guest editor of Axioms, Entropy and Mathematics, moreover he is assistant editor of Turkish Journal of Mathematics and Computer Science.

Araceli Queiruga-Dios was Graduate in Physics (Electronics specialty) at the University of Salamanca (Spain) and obtained her Ph.D. in Mathematics at the same university, in 2006. Her major field of study is public key cryptography. Before working at the university, she worked for a private company, dedicated to telecommunications and software solutions. From 2001 to 2006, she collaborated with the Department of Information Processing and Coding of the Spanish National Research Council, publishing papers about Public Key Cryptography and presenting (publishing) papers at national and international conferences, and journals. Since 2007, she works at the Department of Applied Mathematics at the School of Industrial Engineering at the University of Salamanca. She has participated as collaborator in several research projects at national and European level. Her current research interests include public key cryptography (digital signatures, authentication, and post-quantum cryptographic algorithms and protocols) and information security (propagation of malware and mathematical models). From 2018 to 2020 she coordinated the Erasmus+ Rules_Math, and she is currently coordinating the GIRLS project (Generation for Innovation, Resilience, Leadership and Sustainability. The game is on!), also co-funded by the European Union.

Deolinda M. L. D. Rasteiro was born in Angola in 1968 but lives in Portugal since 1974. She graduated Mathematics from University of Coimbra in 1992, master Statistics and Operations Research from University of Lisbon in 1997 and Doctorate on Mathematics in the field of Network Optimisation in 2006 on University of Aveiro. She is a Coordinator Professor at ISEC and teaches undergraduate (Statistic and Probability Methods to Mechanical and Informatics Engineering courses) and graduate levels (Applied Mathematics to Master of Electrotechnical Engineering, Master of Biomedical Engineering and Master of Physical Asset Management). She was ISEC's Vice-President from 2006 until 2010, responsible for ISEC's International Relations Office, Quality Office, Academic Services Office and Public Relations Office during that period. She was responsible for theorganization of the "92nd European Study Group", Coimbra, 2013 and from to 2015 until now she has co-organized the Days of the Department of Physics and Mathematics and Days of Biomedical Engineering and co-organized several seminars and conference in the Mathematics area. She is currently the SEFI Special Interest Mathematical Group Chair and the co-responsible of the Mathematics Group of SPEE (Portuguese Society of Engineering Education). She is co-author of over 60 papers in applied mathematics and education fields since researching new methods to present Mathematics to students has been her priority in the last years. She has been responsible for the Erasmus+ Rules_Math at IPC/ISEC, and she is, also at IPC/ISEC, currently responsible for the Erasmus+ projects: KA220-HED-000032234 - MATH-DIGGER (MATHematics DiGital Escape Rooms) and for KA220-HED-000089166 - GIRLS.

Dr. Jesús Martín-Vaquero is Professor at Salamanca University. He finished his BSc degree in Mathematics in this University (2002) and got his PhD (2012) in University Rey Juan Carlos. He is co-author of over 50 papers, and numerous contributions to conferences. He is Member of the Editorial Board in several journals and participated as Invited Editor in others. He has participated in numerous funding projects, and obtained some mobility grants to foreign Universities (Milwaukee, Minnesota, Cambridge, Simon Fraser and Salerno universities). His current research interests include the development and study of the properties of numerical methods for solving nonlinear PDEs, approximation theory and mathematical education based on projects and competencies.

Dr. Ion Mierlus-Mazilu is Associate Professor in the Department of Mathematics and Informatics at the Technical University of Civil Engineering, Bucharest, Romania. He completed his bachelor and master degree in Mathematics and Informatics at the Bucharest University and obtained his Ph.D. in Applied Mathematics at the same university, in 2006. He has participated as coordinator and/or collaborator in several research projects at national and European level, member of the Scientific Board at several national and international conferences, member of various national and international professional associations (IACSIT, IAOE, EURO, WASET, SPSR, et al.). He is the author/co-author of over 50 scientific research papers in applied mathematics, informatics and education fields (new methods to teaching Mathematics and Computer Science to engineering students). In addition, he is the author/co-author of several books. His current research interests include applications of probability and statistics, operational research, numerical analysis and numerical methods, mathematical and informatics education based on e/m/u-Learning.

Víctor Gayoso Martínez於1975年出生於西班牙馬德里。他於2002年畢業於馬德里理工大學電信工程專業，並於2010年獲得該大學的博士學位。自1998年以來，他在私營公司（Telefónica）、公共研究機構（西班牙國家研究委員會，CSIC）和大學（Universidad Francisco de Vitoria和U-tad）從事與數學、密碼學、智能卡和Java技術相關的工作。他在國際期刊上發表了25多篇文章，並參加了45多個國際會議。他是橢圓曲線密碼學和網絡安全兩本書的合著者。他目前在Centro Universitario de Tecnología y Arte Digital (U-tad)任教。

Prof. Dr. Fatih Yılmaz是土耳其安卡拉哈吉·巴依拉姆·韋利大學數學系的教授。他於2013年在塞爾丘克大學（科尼亞）獲得博士學位。他是50多篇論文的合著者，並在研討會和會議上做出了許多貢獻。他是土耳其數學和計算機科學期刊的編輯成員，並參與了期刊的特刊編輯工作。他還參與了許多歐洲、國家和地區的資助項目，並獲得了前往中歐大學（布達佩斯）和科英布拉大學（科英布拉）的流動資助。他目前的研究興趣包括矩陣理論、圖論、數論和基於項目和能力的數學教育應用。他是Axioms、Entropy和Mathematics的客座編輯，並擔任土耳其數學和計算機科學的助理編輯。

Araceli Queiruga-Dios畢業於西班牙薩拉曼卡大學物理學（電子專業），並於2006年在同一所大學獲得數學博士學位。她的主要研究領域是公鑰密碼學。在進入大學之前，她曾在一家從事電信和軟件解決方案的私營公司工作。從2001年到2006年，她與西班牙國家研究委員會的信息處理和編碼部門合作，發表了有關公鑰密碼學的論文，並在國內外會議和期刊上發表了論文。自2007年以來，她在薩拉曼卡大學工業工程學院應用數學系工作。她曾參與多個國家和歐洲級的研究項目。她目前的研究興趣包括公鑰密碼學（數字簽名、身份驗證和後量子密碼算法和協議）以及信息安全（惡意軟件傳播和數學模型）。從2018年到2020年，她負責協調Erasmus+ Rules_Math項目，目前她正在協調由歐洲聯盟共同資助的GIRLS項目（Generation for Innovation, Resilience, Leadership and Sustainability. The game is on!）。

Deolinda M. L. D. Rasteiro於1968年出生於安哥拉，但自1974年起居住在葡萄牙。她於1992年畢業於科英布拉大學數學專業，於1997年獲得里斯本大學統計學和運營研究碩士學位，並於2006年在阿維羅大學獲得網絡優化領域的數學博士學位。她是ISEC的協調教授，教授本科（機械和信息工程課程的統計和概率方法）和研究生課程（應用數學，電氣工程碩士，生物醫學工程碩士和物理資產管理碩士）。她曾擔任ISEC副校長，負責ISEC的國際關係辦公室、質量辦公室、學術服務辦公室和公共關係辦公室。她曾參與多個國家和歐洲級的研究項目。她目前的研究興趣包括公鑰密碼學（數字簽名、身份驗證和後量子密碼算法和協議）以及信息安全（惡意軟件傳播和數學模型）。從2018年到2020年，她負責協調Erasmus+ Rules_Math項目，目前她正在協調由歐洲聯盟共同資助的GIRLS項目（Generation for Innovation, Resilience, Leadership and Sustainability. The game is on!）。