Mathematical Methods in Dynamical Systems (動態系統中的數學方法)

Chakraverty, S., Jena, Subrat Kumar

  • 出版商: CRC
  • 出版日期: 2023-05-19
  • 售價: $4,200
  • 貴賓價: 9.5$3,990
  • 語言: 英文
  • 頁數: 376
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 1032356863
  • ISBN-13: 9781032356860
  • 海外代購書籍(需單獨結帳)

相關主題

商品描述

The art of applying mathematics to real-world dynamical problems such as structural dynamics, fluid dynamics, wave dynamics, robot dynamics, etc. can be extremely challenging. Various aspects of mathematical modelling that may include deterministic or uncertain (fuzzy, interval, or stochastic) scenarios, along with integer or fractional order, are vital to understanding these dynamical systems. Mathematical Methods in Dynamical Systems offers problem-solving techniques and includes different analytical, semi-analytical, numerical, and machine intelligence methods for finding exact and/or approximate solutions of governing equations arising in dynamical systems. It provides a singular source of computationally efficient methods to investigate these systems and includes coverage of various industrial applications in a simple yet comprehensive way.

商品描述(中文翻譯)

將以上文字翻譯成繁體中文:

將數學應用於現實世界的動態問題,如結構動力學、流體動力學、波動動力學、機器人動力學等,是非常具有挑戰性的。數學建模的各個方面,可能包括確定性或不確定性(模糊、區間或隨機)情境,以及整數或分數次序,對於理解這些動態系統至關重要。《動態系統中的數學方法》提供了解決問題的技巧,並包括不同的分析、半分析、數值和機器智能方法,用於找到動態系統中出現的控制方程的精確和/或近似解。它提供了一個計算效率高的方法來研究這些系統,並以簡單而全面的方式涵蓋了各種工業應用。

作者簡介

Prof. S. Chakraverty has 30 years of experience as a researcher and teacher. Presently he is working in the Department of Mathematics (Applied Mathematics Group), National Institute of Technology Rourkela, Odisha as a Senior (Higher Administrative Grade) Professor. Prior to this, he was with CSIR-Central Building Research Institute, Roorkee, India. After completing Graduation from St. Columba's College (Ranchi University), his career started from the University of Roorkee (Now, Indian Institute of Technology Roorkee) and did M. Sc. (Mathematics) & M. Phil. (Computer Applications) from there securing the First positions in the university. Dr. Chakraverty received his Ph. D. from IIT Roorkee in 1993. Thereafter he did his post-doctoral research at the Institute of Sound and Vibration Research (ISVR), University of Southampton, U.K. and at the Faculty of Engineering and Computer Science, Concordia University, Canada. He was also a visiting professor at Concordia and McGill universities, Canada, during 1997-1999 and visiting professor of University of Johannesburg, South Africa during 2011-2014. He has authored/co-authored/Edited 29 books, published 398 research papers (till date) in journals and conferences and two books are ongoing. He is in the Editorial Boards of various International Journals, Book Series and Conferences. Prof. Chakraverty is the Chief Editor of "International Journal of Fuzzy Computation and Modelling" (IJFCM), Inderscience Publisher, Switzerland (http: //www.inderscience.com/ijfcm), Associate Editor of "Computational Methods in Structural Engineering, Frontiers in Built Environment" and "Curved and Layered Structures (De Gruyter)" and happens to be the Editorial Board member of "Springer Nature Applied Sciences", "IGI Research Insights Books", "Springer Book Series of Modeling and Optimization in Science and Technologies", "Coupled Systems Mechanics (Techno Press)", "Journal of Composites Science (MDPI)", "Engineering Research Express (IOP)" and "Applications and Applied Mathematics: An International Journal". He is also the reviewer of around 50 national and international Journals of repute and he was the President of the Section of Mathematical Sciences (including Statistics) of "Indian Science Congress" (2015-2016) and was the Vice President - "Orissa Mathematical Society" (2011-2013). Prof. Chakraverty is a recipient of prestigious awards viz. Indian National Science Academy (INSA) nomination under International Collaboration/Bilateral Exchange Program (with the Czech Republic), Platinum Jubilee ISCA Lecture Award (2014), CSIR Young Scientist Award (1997), BOYSCAST Fellow. (DST), UCOST Young Scientist Award (2007, 2008), Golden Jubilee Director's (CBRI) Award (2001), INSA International Bilateral Exchange Award ([2010-11 (selected but could not undertake), 2015 (selected)], Roorkee University Gold Medals (1987, 1988) for first positions in M. Sc. and M. Phil. (Comp. Appl.) etc.

He is in the list of 2% world scientists recently (2020, 2021) in Artificial Intelligence & Image Processing category based on an independent study done by Stanford University scientists.

IOP Publishing Top Cited Paper Award for one of the most cited articles from India, published across the entire IOP Publishing journal portfolio within the past three years (2018 to 2020). It also features in the top 1% of most cited papers in the Materials subject category. This data is from the citations recorded in Web of Science.

He has already guided nineteen (19) Ph. D. students and twelve are ongoing. Prof. Chakraverty has undertaken around 16 research projects as Principle Investigator funded by international and national agencies totaling about Rs.1.5 crores. He has hoisted around 8 international students with different international/national fellowships to work in his group as PDF, PhD, visiting researchers for different periods. A good number of international and national Conferences, Workshops, and Training programs have also been organised by him. His present research area includes Differential Equations (Ordinary, Partial and Fractional), Numerical Analysis and Computational Methods, Structural Dynamics (FGM, Nano) and Fluid Dynamics, Mathematical and Uncertainty Modeling, Soft Computing and Machine Intelligence (Artificial Neural Network, Fuzzy, Interval and Affine Computations).

Mr. Subrat Kumar Jena is currently working as a Senior Research Fellow at the Department of Mathematics, National Institute of Technology Rourkela. He graduated as an M.Sc. in Mathematics and Scientific Computing from Motilal Nehru National Institute of Technology Allahabad, Prayagraj, India. He does research in Structural Dynamics, Applied Mathematics, Mathematical Modelling, and Uncertainty Modelling. Till now, he has published 30 research papers in peer reviewed international journal, 2 international conference papers, 8 book chapters, and 1 book (2 books are in press, 2 books are ongoing).

He has been awarded an IOP Publishing Top Cited Paper Award 2021 from India, published across the entire IOP Publishing journal portfolio within the past three years (2018 to 2020), and the paper was among the top 1% of most cited papers in the Materials subject category.

He was also featured in Stanford University's Top 2% Most Influential Scientists List for the Year 2020.

Additionally, he has been listed in Shell Buckling website as "Shell Buckling People" for his substantial contributions to the fields of shell buckling mainly in the area of static or dynamic analysis of general structures. He also serves as a reviewer for many prestigious international journals and has reviewed over 60 manuscripts so far. Further, he is continuing collaborative research works with renowned researchers from India, Italy, Estonia, Turkey, Iran, Poland, Canada, etc.

作者簡介(中文翻譯)

Prof. S. Chakraverty擁有30年的研究和教學經驗。目前他在印度奧里薩邦國立技術學院魯爾克拉分校的數學系(應用數學組)擔任高級(高級行政級別)教授。在此之前,他曾在印度羅爾基中央建築研究所工作。畢業於哥倫巴大學學院(蘭契大學)後,他的職業生涯始於羅爾基大學(現在的印度羅爾基理工學院),並在那裡獲得了數學碩士和計算機應用碩士學位,並在該大學中獲得了第一名。Chakraverty博士於1993年在印度羅爾基理工學院獲得博士學位。之後,他在英國南安普敦大學的聲音和振動研究所(ISVR)以及加拿大康考迪亞大學的工程和計算機科學學院進行了博士後研究。他還曾是加拿大康考迪亞大學和麥吉爾大學的訪問教授(1997-1999年),以及南非約翰內斯堡大學的訪問教授(2011-2014年)。他已經撰寫/合著/編輯了29本書籍,在期刊和會議上發表了398篇研究論文(截至目前),並有兩本書籍正在進行中。他是多個國際期刊、書籍系列和會議的編輯委員會成員。Chakraverty教授是《國際模糊計算和建模期刊》(IJFCM)的主編,由瑞士Inderscience出版社出版,也是《結構工程計算方法》、《建築前沿》和《曲線和層狀結構》的副編輯,並且是《Springer Nature應用科學》、《IGI Research Insights Books》、《Springer科學和技術建模與優化書系》、《耦合系統力學》、《複合材料科學期刊》、《工程研究快報》和《應用數學國際期刊》的編輯委員會成員。他還是約50個國內外知名期刊的審稿人,曾擔任印度科學大會數學科學(包括統計學)部門主席(2015-2016年)和奧里薩數學學會副主席(2011-2013年)。Chakraverty教授是印度國家科學院(INSA)國際合作/雙邊交流計劃(與捷克共和國)的提名人,獲得了卓越獎項,包括白金禧ISCA演講獎(2014年)、CSIR青年科學家獎(1997年)、BOYSCAST研究員(DST)、UCOST青年科學家獎(2007年、2008年)、金禧主任(CBRI)獎(2001年)、INSA國際雙邊交流獎(2010-11年(已選定但未實施)、2015年(已選定))、羅爾基大學金牌獎(1987年、1988年)等。根據斯坦福大學科學家的獨立研究,他最近(2020年、2021年)在人工智能和影像處理類別中名列全球2%的科學家名單。他還獲得了IOP出版社頒發的最高引用論文獎,該論文是印度在過去三年(2018年至2020年)在IOP出版社期刊組合中最被引用的文章之一,也是材料學科類別中最被引用的1%論文之一。這些數據來自Web of Science中的引用記錄。他已經指導了19名博士生,目前有12名正在進行中。Chakraverty教授作為負責人,已經承擔了約16個國際和國家機構資助的研究項目,總計約1500萬盧比。他已經接待了約8名國際學生,這些學生憑藉不同的國際/國家獎學金在他的團隊中擔任博士後研究員、博士研究生和訪問研究員。他主持了許多國際和國內會議、工作坊。