Mathematical Modeling and Computational Tools (eBook)

This book features original research papers presented at the International Conference on Computational and Applied Mathematics, held at the Indian Institute of Technology Kharagpur, India during November 23-25, 2018.  This book covers various topics under applied mathematics, ranging from modeling of fluid flow, numerical techniques to physical problems, electrokinetic transport phenomenon, graph theory and optimization, stochastic modelling and machine learning. It introduces the mathematical modeling of complicated scientific problems, discusses micro- and nanoscale transport phenomena, recent development in sophisticated numerical algorithms with applications, and gives an in-depth analysis of complicated real-world problems. With contributions from internationally acclaimed academic researchers and experienced practitioners and covering interdisciplinary applications, this book is a valuable resource for researchers and students in fields of mathematics, statistics, engineering, and health care.

Somnath Bhattacharyya is Professor at the Department of Mathematics, Indian Institute of Technology Kharagpur, India obtained his Ph.D. in Computational Fluid Dynamics from the Indian Institute of Sciencesand has held several visiting positions at various institutes, including the University of Leeds, UK; University College London, UK; Ohio State University, USA; Max Planck Institute for Marine Microbiology, Germany; Karlsruhe Institute of Technology, Germany; University of Stuttgart, Germany. He is a Fellow of the National Academy of Sciences, India and has completed several research projects sponsored by the DST and CSIR.He has received several awards and fellowships for research collaborations in the USA, UK and Germany, such as the DST BOYSCAST Fellowship; EPSRC, UK Fellowship; Max Planck Fellowship, Germany; and DARPA, USA. His research interests include computational fluid dynamics, micro- and nanofluidics modeling and numerical analysis, and he has published more than 110 papers in highly reputed international journals.

Jitendra Kumar is Associate Professor at the Department of Mathematics, Indian Institute of Technology Kharagpur, India. Prior to that, he was associated with the Otto von Guericke University Magdeburg, where he earned his Ph.D in 2006, and the Fraunhofer Institute for Industrial Mathematics, both in Germany. He has received several fellowships including DAAD, DFG and Alexander von Humboldt. His research interests include particle technology, numerical solutions of population balances in particulate systems, mathematical modeling and simulation of various engineering processes and development and analysis of numerical techniques, and has published over 70 articles in various journals of repute.

Koeli Ghoshal is Associate Professor at the Department of Mathematics, Indian Institute of Technology Kharagpur, India. She has worked as a research associate, visiting scientist and research fellow in the Physics and Applied Mathematics Unit of Indian Statistical Institute, Kolkata, India. She has received several national fellowships and awards including the prestigious SERC Fast Track Fellowship awarded by DST, India, and G. M. Nawathe Best Paper Award Awardat the HYDRO 2002 Conference. Her main research interest is mathematical and probabilistic investigations of sediment transport in open channel turbulent flow and she has published more than 45 peer-reviewed articles in several reputed journals.

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This book features original research papers presented at the International Conference on Computational and Applied Mathematics, held at the Indian Institute of Technology Kharagpur, India during November 23-25, 2018.  This book covers various topics under applied mathematics, ranging from modeling of fluid flow, numerical techniques to physical problems, electrokinetic transport phenomenon, graph theory and optimization, stochastic modelling and machine learning. It introduces the mathematical modeling of complicated scientific problems, discusses micro- and nanoscale transport phenomena, recent development in sophisticated numerical algorithms with applications, and gives an in-depth analysis of complicated real-world problems. With contributions from internationally acclaimed academic researchers and experienced practitioners and covering interdisciplinary applications, this book is a valuable resource for researchers and students in fields of mathematics, statistics, engineering, and health care.