Current Problems of Applied Mathematics and Computer Systems: Cpamcs 2023

本書基於在國際應用數學與計算機系統當前問題會議（APAMCS-2023）上接受發表的最佳論文。書中包含有關科學計算、人工智慧、數據分析和模組計算領域的數學問題及解決方案的研究材料。科學計算中的數值方法範疇呈現原創研究，包括與以下主題相關的數學模型和軟體實現：科學計算中的數值方法；優化問題的解決；函數近似方法等。數據分析和模組計算的研究包括在深度學習、神經網絡、數學統計、機器學習方法、殘餘數系統和人工智慧領域的貢獻。此外，部分文章專注於非線性物理現象的數學建模。最後，本書提供了數學教育中的基本問題的見解。本書旨在針對專注於科學計算、並行計算、計算機技術、機器學習、資訊安全和數學教育領域的讀者。

Anatoly Alikhanov has obtained his Ph.D. in Physical and Mathematical Sciences. He is Vice-Rector for Scientific and Research work of the North Caucasus Federal University. He is the Head of the Regional Scientific and Educational Mathematical Center "North Caucasian Center for Mathematical Research." Earlier, he worked as Visiting Member of the dissertation council at Southeast University, Department of Mathematics, Nanjing, China. In 2016, he was invited for an internship in the field of numerical methods for solving fractional differential equations at the Nanjing University of China. А. Alikhanov is Member of the Editor Board of the Fractional Calculus and Applied Analysis Journal and Reviewer of over 30 reputable scientific journals in computational mathematics.

Andrei Tchernykh, Full Professor in computer science at CICESE Research Center (Centro de Investigación Científica y de Educación Superior de Ensenada), Ensenada, Baja California, Mexico and Adjunct Professor at ISP RAS - Institute for System Programming of the Russian Academy of Sciences, Russia. He is chairing "Parallel Computing Laboratory" at CICESE, Mexico and "International Laboratory of Problem-Oriented Cloud Computing" at South Ural State University, Russia. He gained industrial experience as supercomputer design team leader in Advance Technical Products Corp, and Supercomputer Design Department of Electro-Mechanical Enterprise. He received Ph.D. degree in Computer Science from the IPMCE in 1986. He is a founding member of the Mexican Supercomputer Society (RedMexSu), a Regional President of Global Association for Academic Supervision (GAAS) Latin America, and member of the Mexican National Researchers System SNI level II. He has led a number of research projects and grants in different countries funded by CONACYT, NSF, ANII, Ochoa, INRIA, FNR, UC MEXUS, DAAD, LAFMI, AMEXCID, ANII, etc. He is awarded Global Scholars Fellow at Tsinghua University (China), German Academic Exchange Service fellowship at University of Göttingen, Dortmund University, Technische Universität Clausthal (Germany), and Severo Ochoa fellowship at Barcelona Supercomputing Center (Spain). He is an editorial board member of several journals and served as a guest editor for special issues including Mobile Networks & Applications (MONET) Springer, International Journal of Approximate Reasoning, Elsevier.

Mikhail Babenko is the Head of the Department of Computational Mathematics and Cybernetics North-Caucasus Federal University. He is a member of the scientific school named after Professor Chervyakov "Neuromathematics, modular neurocomputers and high-performance computing". He received PhD in Mathematical modeling, numerical methods, and software. Mikhail took internships in CICESE Research Center in México; Le Quy Don Technical University, Hanoi, Vietnam in 2015; University of Lorraine, Nancy, France in 2017. Research area: Security, Cryptography, Residue Number System, Big Data, Internet of Things, Fog-Edge-Cloud Computing, Trust, Uncertainty, Scalable and Reliable Systems, Elliptic Curve.

Irina Samoilenko is PhD, Associate Professor at Informational Systems Department, Stavropol State Agrarian University, Russia. She received M.S. degree in Applied Mathematics and Informatics, PhD in System Analysis, Control and Processing of Information in North-Caucasus Federal University. Irina is a researcher in North-Caucasus Centre for Mathematical Research, North-Caucasus Federal University. She is a member of Association of Scientific Editors and Publishers, Russia. She participated in international conferences and internships in Italy, Turkey, Romania and Czech Republic. Her research interests include wireless sensor networks, IoT, optimization tasks and mathematical modeling.

安納托利·阿利哈諾夫（Anatoly Alikhanov）獲得了物理與數學科學的博士學位。他是北高加索聯邦大學的科學與研究工作副校長，也是「北高加索數學研究中心」的區域科學與教育數學中心主任。之前，他曾擔任中國南京東南大學數學系的論文委員會訪問成員。2016年，他受邀在中國南京大學進行有關分數微分方程數值方法的實習。阿利哈諾夫是《分數微積分與應用分析期刊》的編輯委員會成員，並擔任超過30本計算數學領域知名科學期刊的審稿人。

安德烈·切爾尼赫（Andrei Tchernykh）是墨西哥巴哈加利福尼亞州恩塞納達的CICESE研究中心（Centro de Investigación Científica y de Educación Superior de Ensenada）計算機科學的全職教授，並擔任俄羅斯科學院系統編程研究所（ISP RAS）的兼任教授。他在CICESE擔任「平行計算實驗室」的主任，並在俄羅斯南烏拉爾國立大學擔任「面向問題的雲計算國際實驗室」的主任。他曾在Advance Technical Products Corp擔任超級計算機設計團隊負責人，並在電機企業的超級計算機設計部門工作。他於1986年在IPMCE獲得計算機科學博士學位。他是墨西哥超級計算機協會（RedMexSu）的創始成員，拉丁美洲全球學術監督協會（GAAS）的區域主席，以及墨西哥國家研究人員系統SNI二級成員。他在不同國家領導了多個由CONACYT、NSF、ANII、Ochoa、INRIA、FNR、UC MEXUS、DAAD、LAFMI、AMEXCID、ANII等資助的研究項目和計畫。他曾獲得清華大學（中國）的全球學者獎學金、德國學術交流服務在哥廷根大學、多特蒙德大學、克勞斯塔爾工業大學（德國）的獎學金，以及巴塞羅那超級計算中心（西班牙）的塞維羅·奧喬獎學金。他是多本期刊的編輯委員會成員，並擔任過包括《移動網絡與應用》（MONET）Springer、《近似推理國際期刊》（International Journal of Approximate Reasoning）等特刊的客座編輯。

米哈伊爾·巴本科（Mikhail Babenko）是北高加索聯邦大學計算數學與控制論系的主任。他是以切爾維亞科夫教授命名的科學學派成員，專注於「神經數學、模組神經計算機和高性能計算」。他獲得了數學建模、數值方法和軟體的博士學位。米哈伊爾曾在墨西哥CICESE研究中心、越南河內的黎貴惇技術大學（2015年）、法國南錫的洛林大學（2017年）進行實習。研究領域包括安全性、密碼學、餘數數字系統、大數據、物聯網、霧邊雲計算、信任、不確定性、可擴展和可靠系統、橢圓曲線。

伊琳娜·薩莫伊連科（Irina Samoilenko）是俄羅斯斯塔夫羅波爾國立農業大學資訊系統系的副教授，並擁有博士學位。她在北高加索聯邦大學獲得應用數學與資訊學碩士學位，並在系統分析、控制與資訊處理方面獲得博士學位。伊琳娜是北高加索數學研究中心的研究人員，也是俄羅斯科學編輯與出版協會的成員。她參加過在意大利、土耳其、羅馬尼亞和捷克共和國的國際會議和實習。她的研究興趣包括無線感測器網絡、物聯網、優化任務和數學建模。