Frontiers in Industrial and Applied Mathematics (eBook)

This book publishes select papers presented at the 4th International Conference on Frontiers in Industrial and Applied Mathematics (FIAM-2021), held at the Sant Longowal Institute of Engineering and Technology, Longowal, Punjab, India, from 21-22 December 2021. Most of the papers deal with mathematical theory embedded with its applications to engineering and sciences. This book illustrates numerical simulation of scientific problems and the state-of-the-art research in industrial and applied mathematics, including various computational and modeling techniques with case studies and concrete examples. Graduate students and researchers, who are interested in real applications of mathematics in the areas of computational and theoretical fluid dynamics, solid mechanics, optimization and operations research, numerical analysis, bio-mathematics, fuzzy, control and systems theory, dynamical systems and nonlinear analysis, algebra and approximation theory, will find the book useful. 

RAJESH KUMAR SHARMA is Assistant Professor at the Department of Mathematics, Nirma University, Ahmedabad, India. Earlier, he worked as Post-Doctoral Fellow at Universiti Kebangsaan Malaysia and National Taiwan University. He has more than 10 years of teaching and research experience. He has published research papers in SCI/SCIE/Scopus indexed journals and national/international conference proceedings. He has completed one externally sponsored research project funded by SERB, the Government of India. He has edited three conference proceedings, published by the American Institute of Physics. He is the life member of the Indian Society of Theoretical and Applied Mechanics and the Indian Society for Heat and Mass Transfer. His research interest is mainly in computational mechanics with focus on numerical simulation of fluid flow and heat transfer in boundary layer region. He has earned his Ph.D. degree from the Indian Institute of Technology (IIT) Roorkee, in 2011.

LORENZO PARESCHI is Professor of Numerical Analysis at the Department of Mathematics and Computer Science, University of Ferrara, Italy. He received his Ph.D. in Mathematics from the University of Bologna, Italy, and subsequently held visiting professorships at the Georgia Institute of Technology, Atlanta, USA; the University of Wisconsin-Madison, USA; the University of Orléans, France; and the University of Toulouse, France. He served as Department Chair from 2009-2018. He was awarded the Nelder Fellow at the Imperial College, London, UK, in 2015, and the John von Neumann Professor at the Technical University of Munich, Germany, in 2019. He is currently member of the steering committee of the Italian Society for Industrial and Applied Mathematics (SIMAI), and member of the Committee for Applications and Interdisciplinary Relations (CAIR) of the European Mathematical Society (EMS). He served as Associate Editor for several international journals among which are Multiscale Modeling and Simulation and the SIAM Journal on Scientific Computing. The results of his research activity are reported in more than 170 scientific publications and 5 books.

ABDON ATANGANA is Applied Mathematics professor at the University of the Free State, South Africa. He obtained his honours and master's degrees from the Department of Applied Mathematics at the University of the Free State, South Africa, with distinction. He earned his Ph.D. degree in applied mathematics from the Institute for Groundwater Studies. He serves as Editor for 18 international journals and is also a reviewer of more than 200 international accredited journals and has been awarded the world champion of peer review twice, in 2016 and 2017. He also serves on more than 20 editorial boards of applied mathematics and mathematics journals. He has presented and participated in more than 20 international conferences and has been invited as plenary speaker at more than 10 international conferences of applied mathematics and mathematics. His research interests are in methods and applications of partial and ordinary differential equations, fractional differential equations, perturbation methods, asymptotic methods, iterative methods, and groundwater modelling. He is the founder of the fractional calculus with non-local and non-singular kernels popular in applied mathematics today. Since 2013, he has published in 165 international accredited journals of applied mathematics, applied physics, geo-hydrology and bio-mathematics.

BIKASH SAHOO is Assistant professor at the Department of Mathematics, National Institute of Technology (NIT) Rourkerla, Odisha, India. He earned his Ph.D. degree from the Indian Institute of Technology (IIT) Roorkee. He has worked as a BOYSCAST fellow at the Norwegian University of Science and Technology, Norway. He has also worked as a postdoctoral fellow at Kyungpook National University, South Korea. Dr. Sahoo has more than 14 years of teaching and research experience. His area of research is mathematical fluid dynamics. He specifically works on non-Newtonian boundary layer flows. He has published numerous papers in journals of international repute and has presented many papers in national and international conferences. He has successfully guided many graduate and Ph.D. students. He has also worked in collaboration with eminent foreign researchers.

VIJAY KUMAR KUKREJA is Professor and Head, Department of Mathematics, Sant Longowal Institute of Engineering & Technology, Longowal, Punjab. He completed his Ph.D. in the year 1997 from the University of Roorkee, Roorkee. His research interests include mathematical modelling, data science and numerical solution of partial differential equations by using finite difference method, splines, and Hermite collocation methods. He has handled one research project each from the CSIR, New Delhi and the NBHM Mumbai. He has guided 6 Ph.D. students and 6 others are working under his supervision. He has delivered more than 30 invited talks at different institutions. Based on the research findings, he has published more than 60 papers in reputed international journals and presented more than 50 research papers at different conferences.

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This book publishes select papers presented at the 4th International Conference on Frontiers in Industrial and Applied Mathematics (FIAM-2021), held at the Sant Longowal Institute of Engineering and Technology, Longowal, Punjab, India, from 21-22 December 2021. Most of the papers deal with mathematical theory embedded with its applications to engineering and sciences. This book illustrates numerical simulation of scientific problems and the state-of-the-art research in industrial and applied mathematics, including various computational and modeling techniques with case studies and concrete examples. Graduate students and researchers, who are interested in real applications of mathematics in the areas of computational and theoretical fluid dynamics, solid mechanics, optimization and operations research, numerical analysis, bio-mathematics, fuzzy, control and systems theory, dynamical systems and nonlinear analysis, algebra and approximation theory, will find the book useful.