Mathematical Modelling, Optimization, Analytic and Numerical Solutions (eBook)

This book discusses a variety of topics related to industrial and applied mathematics, focusing on wavelet theory, sampling theorems, inverse problems and their applications, partial differential equations as a model of real-world problems, computational linguistics, mathematical models and methods for meteorology, earth systems, environmental and medical science, and the oil industry. It features papers presented at the International Conference in Conjunction with 14th Biennial Conference of ISIAM, held at Guru Nanak Dev University, Amritsar, India, on 2-4 February 2018. The conference has emerged as an influential forum, bringing together prominent academic scientists, experts from industry, and researchers. The topics discussed include Schrodinger operators, quantum kinetic equations and their application, extensions of fractional integral transforms, electrical impedance tomography, diffuse optical tomography, Galerkin method by using wavelets, a Cauchy problem associated with Korteweg-de Vries equation, and entropy solution for scalar conservation laws. This book motivates and inspires young researchers in the fields of industrial and applied mathematics.

PAMMY MANCHANDA is Professor at the Department of Mathematics Guru Nanak Dev University, Amristar. Professor Manchanda has published more than 50 research papers in several international journals of repute, edited 4 proceedings volumes for international conferences of the Indian Society of Industrial and Applied Mathematics (ISIAM) and co-authored 4 books. She has attended, delivered talks and chaired sessions at reputed academic conferences and workshops across the world, including International Council of Industrial and Applied Mathematics (ICIAM) from 1999 to 2019 and the International Congress of Mathematicians (ICM) since 2002. She is the managing editor of the Indian Journal of Industrial and Applied Mathematics and a member of the editorial board of the Springer book series, Industrial and Applied Mathematics. She was invited twice to the Industrial Mathematics Group of Prof. Helmut Neunzert at Kaiserslautern University, Germany, and has visited the International Center for Theoretical Physics (UNESCO institution) at Trieste, Italy, several times to carry out research activities. She has been joint secretary of ISIAM from 1999-2016, and is currently secretary of the society. She is ISIAM representative in the International Council of Industrial and Applied Mathematics (ICIAM). She has been actively engaged in the organization of international conferences by the ISIAM and was joint convener, Satellite Conference of ICM, during 15-17 August 2010, New Delhi, India.

René Lozi is Professor at the Dieudonné Center of Mathematics, University of Nice, France. In 1991, he became Full Professor at the University of Nice and the Institute for Teacher Trainees (IUFM), France. He served as Director of IUFM during 2001-2006 and as Vice-Chairman of the French Board of Directors of IUFM during 2004-2006. He completed his French state thesis on chaotic dynamical systems under the supervision of Prof. René Thom, a Fields Medalist, in 1983. Professor Lozi currently serves on the editorial boards of respected international journals. In 1977, he discovered a particular mapping of the plane having a strange attractor (now classically known as 'Lozi map'). Today, his research areas include complexity and emergence theory, dynamical systems, bifurcation, control of chaos, cryptography-based chaos, and memristors (a physical device for neuro-computing).

 Abul Hasan Siddiqi is Professor Emeritus and a distinguished scientist at the School of Basic Sciences and Research, Sharda University, Greater Noida, India. Professor Siddiqi has held several important administrative positions, such as Chairman of the Department of Mathematics, Dean of the Faculty of Science, and Pro-Vice-Chancellor of Aligarh Muslim University, India. He has been actively associated with the International Centre for Theoretical Physics, Trieste, Italy (UNESCO organization), in different capacities for more than 20 years. He served as Professor of Mathematics at the King Fahd University of Petroleum and Minerals (KFUPM), Saudi Arabia, for 10 years; and a consultant to Sultan Qaboos University, Oman; Istanbul Aydin University, Turkey; and the Institute of Microelectronics, Malaysia. He was awarded the German Academic Exchange Service (DAAD) Fellowship thrice to pursue mathematical research in Germany. He has jointly published more than 100 research papers with his research collaborators, 5 books, and edited proceedings of 9 international conferences. He is Founder Secretary of the Indian Society of Industrial and Applied Mathematics (ISIAM) and Editor-in-Chief of the Indian Journal of Industrial and Applied Mathematics, published by the ISIAM, and  the Springer book series, Industrial and Applied Mathematics. He has recently been elected as President of ISIAM, which represents India at the apex forum of industrial and applied mathematics-ICIAM.

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This book discusses a variety of topics related to industrial and applied mathematics, focusing on wavelet theory, sampling theorems, inverse problems and their applications, partial differential equations as a model of real-world problems, computational linguistics, mathematical models and methods for meteorology, earth systems, environmental and medical science, and the oil industry. It features papers presented at the International Conference in Conjunction with 14th Biennial Conference of ISIAM, held at Guru Nanak Dev University, Amritsar, India, on 2-4 February 2018. The conference has emerged as an influential forum, bringing together prominent academic scientists, experts from industry, and researchers. The topics discussed include Schrodinger operators, quantum kinetic equations and their application, extensions of fractional integral transforms, electrical impedance tomography, diffuse optical tomography, Galerkin method by using wavelets, a Cauchy problem associated with Korteweg-de Vries equation, and entropy solution for scalar conservation laws. This book motivates and inspires young researchers in the fields of industrial and applied mathematics.