A Course on Integral Equations with Numerical Analysis - Esfandiari, Armin

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Résumé :
This book suggests that the numerical analysis subjects' matter are the important tools of the book topic, because numerical errors and methods have important roles in solving integral equations. Therefore, all needed topics including a brief description of interpolation are explained in the book. The integral equations have many applications in the engineering, medical, and economic sciences, so the present book contains new and useful materials about interval computations including interval interpolations that are going to be used in interval integral equations. The concepts of integral equations are going to be discussed in two directions, analytical concepts, and numerical solutions which both are necessary for these kinds of dynamic systems. The differences between this book with the others are a full discussion of error topics and also using interval interpolations concepts to obtain interval integral equations. All researchers and students in the field of mathematical, computer, and also engineering sciences can benefit the subjects of the book....

Biographie:
Muammer Catak, Ph.D., is working in College of Engineering and Technology, American University of the Middle East, Kuwait. Muammer Catak is Faculty Member of Electrical Engineering Department at College of Engineering and Technology, American University of the Middle East, Kuwait. He received his B.Sc. in Electrical and Electronics Engineering from the Middle East Technical University, Turkey in 2004, the M.Sc. in Telecommunication and Signal Processing, Blekinge Technical Institute, Sweden in 2006, the Ph.D. in Stochastic Modelling and Simulation from Process Engineering, University College Cork, Ireland in 2010. He got his Associate Professorship degree in the subject of Signal Processing / Electrical and Electronics Engineering, Turkey in 2017. His main research interests include stochastic signal processing, random processes, and Markov chains. He published 19 scientific articles in various international peer-reviewed journals. He is Author of the book titled Markov Chain Modelling of the Re-circulatory Fluidised Bed Granulation: Stochastic Processes published in 2016. Tofigh Allahviranloo, Ph.D., is Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey. Tofigh Allahviranloo is Full Professor of applied mathematics at Bahcesehir University, Turkey. As a trained mathematician and computer scientist, Prof. Allahviranloo has developed a passion for multi- and interdisciplinary research. He is not only deeply involved in fundamental research in fuzzy applied mathematics, especially fuzzy differential equations, but he also aims at innovative applications in the applied biological sciences. He is Author of several books and many papers published by Elsevier and Springer. He actively serves the research community, as Editor-in-Chief of the International J. of Industrial Mathematics and Associate Editor of editorial board of several other journals, including Information Sciences, Fuzzy Sets and Systems, Journal of Intelligent and Fuzzy Systems, Iranian J. of Fuzzy systems, and Mathematical Sciences. Witold Pedrycz, Ph.D., is working in Department of Electrical and Computer Engineering, University of Alberta, Canada. Witold Pedrycz (IEEE Fellow, 1998) is Professor and Canada Research Chair (CRC) in Computational Intelligence in the Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Canada. In 2012, he was elected as Fellow of the Royal Society of Canada. In 2007, he received a prestigious Norbert Wiener Award from the IEEE Systems, Man, and Cybernetics Society. He is a recipient of the IEEE Canada Computer Engineering Medal, a Cajastur Prize for Soft Computing from the European Centre for Soft Computing, a Killam Prize, and a Fuzzy Pioneer Award from the IEEE Computational Intelligence Society. His main research directions involve computational intelligence, fuzzy modeling and granular computing, knowledge discovery and data science, pattern recognition, data science, knowledge-based neural networks, and control engineering. He is also Author of 18 research monographs and edited volumes covering various aspects of computational intelligence, data mining, and software engineering. Dr. Pedrycz is vigorously involved in editorial activities. He is Editor-in-Chief of Information Sciences, Editor-in-Chief of WIREs Data Mining and Knowledge Discovery, and Co-Editor-in-Chief of Int. J. of Granular Computing, and J. of Data Information and Management. He serves on the Advisory Board of IEEE Transactions on Fuzzy Systems....

Sommaire:
This book suggests that the numerical analysis subjects' matter are the important tools of the book topic, because numerical errors and methods have important roles in solving integral equations. Therefore, all needed topics including a brief description of interpolation are explained in the book. The integral equations have many applications in the engineering, medical, and economic sciences, so the present book contains new and useful materials about interval computations including interval interpolations that are going to be used in interval integral equations. The concepts of integral equations are going to be discussed in two directions, analytical concepts, and numerical solutions which both are necessary for these kinds of dynamic systems. The differences between this book with the others are a full discussion of error topics and also using interval interpolations concepts to obtain interval integral equations. All researchers and students in the field of mathematical, computer, and also engineering sciences can benefit the subjects of the book....