Mathematical Theory and Simulation of Scientific Problems

This book contains select chapters of proceedings presented at the 6th International Conference on Frontiers in Industrial and Applied Mathematics (FIAM-2023), held at the Birla Institute of Technology and Science, Pilani-Dubai Campus, UAE, on 21–22 December 2023. It deals with mathematical theory and its applications to the various disciplines of engineering and sciences. The book illustrates the mathematical simulation of scientific problems and cutting-edge development in multiple branches of mathematics, including various computational and modeling techniques with case studies and concrete examples. The book is useful to graduate students, research scholars and professionals who are interested in the real applications of mathematics in the areas of computational and theoretical fluid dynamics, server queues, Lie group theory, fixed point theory, image processing, biomathematics, nonlinear dynamics and approximation theory. 

Rajesh Sharma is Associate Professor in the Department of Mathematics at the North-Eastern Hill University, Shillong, Meghalaya, India. He obtained his Ph.D. degree from the Indian Institute of Technology Roorkee, India, in 2011. After the Ph.D., he worked as Post-Doctoral Fellow at Universiti Kebangsaan Malaysia and National Taiwan University. And then, he worked as Assistant Professor at the National Institute of Technology (NIT) Hamirpur, Thapar University Patiala, University of Petroleum and Energy Studies Dehradun and Nirma University Ahmedabad. With more than 16 years of teaching and research experience, he has edited 5 books and contributed more than 35 research papers in SCI/SCIE/Scopus indexed journals and in the national/international conference proceedings. He has guided Ph.D. and master's students at NIT Hamirpur, Thapar University Patiala and North-Eastern Hill University, Shillong. He has completed research project at NIT Hamirpur, sponsored by SERB, the Government of India. He is the life member of the Forum for Industrial and Applied Mathematics (FIAM), Indian Society of Theoretical and Applied Mechanics (ISTAM) and Indian Society for Heat and Mass Transfer (ISHMT). His research interest is in computational mechanics with focus on the numerical simulation of fluid flow and heat transfer in boundary layer region.

Shailesh Kumar Srivastava is Assistant Professor at the Department of Mathematics, the Sardar Vallabhbhai National Institute of Technology, Surat, Gujarat, India. Earlier, he worked as Assistant Professor at Rajkiya Engineering College, Ambedkar Nagar, and the National Institute of Technology (NIT) Jalandhar, Punjab. He completed his Ph.D. degree from the Indian Institute of Technology (IIT) Roorkee, in 2015. His research interests include trigonometric Fourier approximation, summability methods and operator theory. With more than 15 years of teaching and research experience, he has authored more than 25 publications in international journals (SCI/SCIE/Scopus), book chapters and conferences. He has guided 4 Ph.D. student, 13 master’s dissertations and 2 undergraduate projects. A life member of the International Association of Engineers (IAENG) and Forum for Industrial and Applied Mathematics (FIAM), he has delivered more than 7 invited talks at different institutions.

Habil Ali Cemal Benim is Professor for Energy Technology and Head of “Center of Flow Simulation” at the Duesseldorf University of Applied Sciences, Duesseldorf, Germany, since January 1996. He received his B.Sc. and M.Sc. degrees in mechanical engineering at the Bogazi?i University, Istanbul, Turkey. Then, he received his Ph.D. degree at the University of Stuttgart, Germany, in 1988, on the topic “Finite Element Modeling of Turbulent Diffusion Flames” with “Degree of Distinction”. Following a post-doctoral period at the University of Stuttgart, in 1990, he joined ABB Turbo Systems Ltd. in Baden, Switzerland, where he was the manager of the “Computational Flow and Combustion Modeling” group. He authored and co-authored over 150 publications in several fields including finite element methods in flow problems, Navier–Stokes solution techniques, the lattice Boltzmann method, turbulence modeling, combustion modeling (gaseous, liquid and solid fuels), gasification, convective and radiative heat transfer, metal flow with phase change, two-phase flows, erosion, turbomachinery, internal and external aerodynamics as well as biofluid dynamics. He is the Executive Editor of the journal, Progress in Computational Fluid Dynamics – An International Journal, Editor-in-Chief of the Computation journal, Section Editor-in-Chief of the Fire journal and has editorial roles in a number of scientific journals.