Mathematics and Computing (eBook)

This book comprises select peer-reviewed articles submitted for the proceedings of the International Conference on Mathematics and Computing (ICMC 2022), held by the School of Advanced Sciences, Vellore Institute of Technology, Vellore, India, in association with Ramanujan Mathematical Society, India, Cryptology Research Society of India and Society for Electronic Transactions and Security, India, from 6-8 January 2022. With an aim to identify the existing challenges in the areas of mathematics and computing, the book emphasizes the importance of establishing new methods and algorithms to address these challenges.

The book includes topics on diverse applications of cryptology, network security, cyber security, block chain, IoT, mobile network, data analytics, applied algebra, mathematical analysis, mathematical modelling, fluid dynamics, fractional calculus, multi-optimization, integral equations, dynamical systems, numerical analysis and scientific computing. Divided into five major parts-applied algebra and analysis, fractional calculus and integral equations, mathematical modelling and fluid dynamics, numerical analysis, and computer science and applications-the book is a useful resource for students, researchers and faculty as well as practitioners.

Rushi Kumar B. is Professor of Mathematics, School of Advanced Sciences of Vellore Institute of Technology (VIT), Tamil Nadu, India. His research interests include mathematical modelling, computational fluid dynamics and computational data science. His research is funded by DST under a bilateral exchange program and CSC follow-on grants by the Royal Society, London. Dr Kumar teaches topics like advanced mathematical methods, applied numerical methods, applications of differential and difference equations and calculus for engineers. He is an eminent scholar in applied mathematics research and a recipient of many research and teaching awards. He is a life member of the Indian Mathematical Society, Indian Society of Theoretical and Applied Mechanics and Andhra Pradesh Society for Mathematical Sciences. He delivered several invited talks at national and international conferences, seminars, workshops and faculty development programs. He has guided nine PhD students and is acclaimed in the academic circles for his erudition in the field of mathematics and computing.

S. Ponnusamy is the Institute Chair Professor at the Indian Institute of Technology Madras, India, and the President of the Ramanujan Mathematical Society, India. He earned his PhD from the Indian Institute of Technology Kanpur, India, in 1989; M.Sc. and B.Sc. respectively in 1992 and 1980, from the University of Madras, Chennai, India. His research interest includes complex analysis, quasiconformal and harmonic mappings, special functions, and functions spaces. Professor Ponnusamy is the founding Fellow of the Forum de Analystes, Chennai, India. He was elected as a Fellow of The National Academy of Sciences, India in the year 2002 and has been a Senior Associate of The Abdus Salam International Centre for Theoretical Physics. He served five years as the Head of the Indian Statistical Institute, Chennai Centre (2012-2017). He has been associated with a number of organizations for popularization of science and serves on the editorial boards of several peer-reviewed international journals.

He has been a referee for more than 100 journals. He is often invited to deliver plenary talks at international conferences and to give lectures at universities all over the world. He took part as a researcher in many funded projects in India and Abroad. Professor Ponnusamy has written four textbooks and another textbook with Herb Sivlerman. One of his books won the Best Selling Author Award in 2002. He has edited several edited volumes and international conference proceedings. He has published more than 250 technical articles in reputed international journals and has solved several long standing open problems and conjectures. He has been Visiting Professor of a number of universities in abroad: Hengyang Normal University and Hunan Normal University, China; Kazan Federal University and Petrozavodsk State University, Russia; University Sains Malaysia, Malaysia; Aalto University, the University of Turku, and the University of Helsinki, Finland; University of South Australia, Adelaide; Texas Tech University, USA.

Debasis Giri is Associate Professor at the Department of Information Technology, Maulana Abul Kalam Azad University of Technology (formerly, the West Bengal University of Technology), Haringhata, West Bengal, India. He received his M.Sc., M.Tech, and PhD degrees from the Indian Institute of Technology Kharagpur, India, in 1998, 2001, and 2009, respectively. He is 10th all India rank holder in the Graduate Aptitude Test in Engineering (GATE) examination, in 1999. He received a certificate from the All India Science Teachers' Association in Science Aptitude and Talent Search Test in 1988. His research interests include cryptography, network security, security based on machine learning, data hiding and security in WSN.

He has authored more than 80 research papers in reputed international journals, conference proceedings and book chapters. He is on the editorial board of several international journals: Information Security and Applications, Security and Privacy, International Journal of Communication Systems, and Security and Communication Networks. He is also Reviewer for many reputed international journals. He is a member of IEEE, and a life member of Cryptology Research Society of India, the International Society for Analysis, its Applications and Computation (ISAAC) and Computer Society of India.

Bhavani Thuraisingham is the Founder Chair Professor of Computer Science (since 2004), Senior Strategist in Cyber Security and Data Science (since 2021), and the Founding Executive Director of the Cyber Security Research and Education Institute (2004-2021) at the University of Texas at Dallas, USA. She is also Visiting Senior Research Fellow at Kings College, the University of London, UK, conducting research on IoT security, a member of the Scientific Council of the URIFIA Laboratory, at the University of Dschang, Cameroon, Africa, giving lectures (pro-bono) on integrating machine learning and cyber security, and was a Cyber Security Policy Fellow at the New America Foundation 2017-2018 focusing on cyber security workforce development. Her research interests are on integrating cyber security and artificial intelligence, data science for the past 36 years. Her 41-year career includes industry (Honeywell), federal research lab (MITRE), the US government (NSF) and the US Academia. Her work has resulted in more than 130+journal articles, more than 300 conference papers, more than 180 keynote and featured addresses, 7 US patents, 16 books, as well as technology transfer of the research to commercial products and operational systems. She has also served as consultant in cyber security and data science for the US Government-Departments of Defence and Treasury as well as the Intelligence Community-since 1991, and has given tutorials, courses and seminars at several US Air Force Bases as well as other organizations around the world.

Chris Clifton is Professor of Computer Science at Purdue University, West Lafayette, USA. He has earned his PhD from Princeton University, and Bachelor and Master degrees from the Massachusetts Institute of Technology, USA. Prior to joining Purdue in 2001, Chris had served as Principal Scientist at The MITRE Corporation and as Assistant Professor of Computer Science at Northwestern University, USA. His research interests include data mining, data security, database support for text, and heterogeneous databases. Professor Clifton works on challenges posed by novel uses of data mining technology, including data mining of text, data mining techniques applied to interoperation of heterogeneous information sources, and security and privacy issues raised by data mining. Fundamental data mining challenges posed by these applications, include extracting knowledge from noisy data, identifying knowledge in highly skewed data (few examples of 'interesting' behavior), and limits on learning. He also works on database support for widely distributed and autonomously controlled information, particularly information administration issues such as supporting fine-grained access control.

Barbara Carminati is Professor of Computer Science at the University of Insubria, Italy. Her main research interests are related to security and privacy for innovative applications, like online social networks, cloud computing, semantic web, data outsourcing, XML data sources, Web service, and data streams. On these topics, she has published more than 100 articles with peer reviews (more than 30 in international journals) in prestigious magazines and conferences, including IEEE Transactions on Dependable Security, IEEE Transactions on Knowledge and Data Engineering, ACM Transactions on Information and System Security, and IEEE International Conference on Distributed Computing System. She has been involved in several research projects, funded by the Italian Ministry of University, Education and Research, and European Union, European Office of US Aerospace Research and Development. She has been Editor-in-Chief of Computer Standards & Interfaces, Associate Editor of IEEE Transactions on Dependable and Secure Computing, and since 2017, Associate Editor for IEEE Transactions on Services Computing. She has been extensively involved in the organization of conferences related to security and privacy topics, among which, she has served as Program Chair of the ACM SACMAT, CODASPY, NSS, APSCC, Collaboration.

---

This book comprises select peer-reviewed articles submitted for the proceedings of the International Conference on Mathematics and Computing (ICMC 2022), held by the School of Advanced Sciences, Vellore Institute of Technology, Vellore, India, in association with Ramanujan Mathematical Society, India, Cryptology Research Society of India and Society for Electronic Transactions and Security, India, from 6-8 January 2022. With an aim to identify the existing challenges in the areas of mathematics and computing, the book emphasizes the importance of establishing new methods and algorithms to address these challenges. The book includes topics on diverse applications of cryptology, network security, cyber security, block chain, IoT, mobile network, data analytics, applied algebra, mathematical analysis, mathematical modelling, fluid dynamics, fractional calculus, multi-optimization, integral equations, dynamical systems, numerical analysis and scientific computing. Dividedinto five major parts applied algebra and analysis, fractional calculus and integral equations, mathematical modelling and fluid dynamics, numerical analysis, and computer science and applications the book is a useful resource for students, researchers and faculty as well as practitioners.