Computational Mathematics and Applications (eBook)

This book is a collection of invited and reviewed chapters on state-of-the-art developments in interdisciplinary mathematics. The book discusses recent developments in the fields of theoretical and applied mathematics, covering areas of interest to mathematicians, scientists, engineers, industrialists, researchers, faculty, and students. Readers will be exposed to topics chosen from a wide range of areas including differential equations, integral reforms, operational calculus, numerical analysis, fluid mechanics, and computer science. The aim of the book is to provide brief and reliably expressed research topics that will enable those new or not aware of mathematical sciences in this part of the world.

While the book has not been precisely planned to address any branch of mathematics, it presents contributions of the relevant topics to do so. The topics chosen for the book are those that we have found of significant interest to many researchers in the world. These also are topics that are applicable in many fields of computational and applied mathematics. This book constitutes the first attempt in Jordanian literature to scientifically consider the extensive need of research development at the national and international levels with which mathematics deals. The book grew not only from the international collaboration between the authors but rather from the long need for a research-based book from different parts of the world for researchers and professionals working in computational and applied mathematics.

Dia Zeidan is Associate Professor of Applied and Computational Mathematics at the German Jordanian University, Amman, Jordan, and Elected Fellow of the European Society of Computational Methods in Sciences and Engineering (ESCMSE). Although he is based in a developing country, he has been an active researcher in developing mathematical and numerical tools of multiphase fluid flow problems for several years. He is recognized for research contributions in applied and computational mathematics with multiphase flows including his creative approaches to teaching and research. His work has been highly interdisciplinary, involving international collaborations with applied and computational researchers. Among various institutional obligations, he has been a visitor of several important international research groups bridging with national research infrastructure gaps in Jordan. He serves on several expert review panels, as a technical editor and reviewer for several peer-review journals and as a member of several programme committees of technical conferences around the world.

Seshadev Padhi is Professor and Head of  the Department of Mathematics, Birla Institute of Technology, Mesra, Jharkhand, India. He received his Ph.D. in the topic of 'Oscillation theory of third order differential equations'. Among the many awards, he received is the BOYSCAST (Better Opportunities for Young Scientists in Chosen Areas of Science and Technology) fellow by the Department of Science and Technology (DST), Government of India, in 2004, to visit Mississippi State University, USA. Subsequently, Prof. Padhi did his postdoctoral research work in Mississippi State University, USA. In addition, he has visited several institutes of international repute such as Florida Institute of Technology, Melbourne, Florida USA, to work in collaboration with Prof. T. Gnanabhakar in 2006, Texas State University at San Marcos, Texas, USA, to work in collaboration with Professor Julio G. Dix in 2009, University of Tennessee at Chattanooga, Chattanooga, Tennessee, USA, during 2011, 2012 and 2013 to work in collaboration with Prof. John R. Graef and University of Szeged, Szeged, Hungary, in 2007 and 2011, to work in collaboration with Prof. Tibor Krisztin. Furthermore, he visited ETH, Zurich, Switzerland, under the Borel Set Theory Programme in 2005 and also several countries to deliver lectures in different international conferences and workshops. In 2003, he received the UNESCO travel and lodging grant to visit ICTP, Trieste, Italy. He has more than 150 research papers in reputed international journals and conferences and has written two books in mathematics where you will find more information on his biography in the field.

Aliaa Burqan is Associate Professor and Dean of the Faculty of Science at Zarqa University, Zarqa, Jordan. She holds a Ph.D. in Mathematics from the University of Jordan, Amman, Jordan. Her areas of research interests are functional analysis, matrix analysis and operator theory. She has several research papers published in reputed international journals and conferences. She is an active member in the organizing committee of all Mathematical Conferences taking a place at Zarqa University from 2006 up to now and the Chairman of the last one, IACMC 2019. She is also serving as scientific and advisory board member of some educational bodies. During the last few years, she has supervised several students who are continuing their postgraduate studies across the world.

Peer Ueberholz is  Professor of Parallel Computing at the Department of Electrical Engineering and Computer Science in the Niederrhein University of Applied Science, Krefeld, Germany. He is a founding member of the interdisciplinary Institute of Modelling and High-Performance Computing at the Niederrhein University. He also has studies in theoretical physics and received his diploma from Bochum University in quantum field theory in 1985 and his doctorate degree from Wuppertal University in 1989 in lattice gauge theory. He is recognized for his research contributions in applied and computational physics, computer science and engineering. His current research interest is in the field of high-performance computing with applications to computational fluid dynamics and machine learning. He serves on several expert review panels and as a reviewer for several peer-review journals and conference. He also published over seventy peer-reviewed journal and conference papers with h-index of 19 and more than 1500 citations according to Google Scholar. Several researchers across the globe have cited his published work.

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This book is a collection of invited and reviewed chapters on state-of-the-art developments in interdisciplinary mathematics. The book discusses recent developments in the fields of theoretical and applied mathematics, covering areas of interest to mathematicians, scientists, engineers, industrialists, researchers, faculty, and students. Readers will be exposed to topics chosen from a wide range of areas including differential equations, integral reforms, operational calculus, numerical analysis, fluid mechanics, and computer science. The aim of the book is to provide brief and reliably expressed research topics that will enable those new or not aware of mathematical sciences in this part of the world. While the book has not been precisely planned to address any branch of mathematics, it presents contributions of the relevant topics to do so. The topics chosen for the book are those that we have found of significant interest to many researchers in the world. These also are topics that are applicable in many fields of computational and applied mathematics. This book constitutes the first attempt in Jordanian literature to scientifically consider the extensive need of research development at the national and international levels with which mathematics deals. The book grew not only from the international collaboration between the authors but rather from the long need for a research-based book from different parts of the world for researchers and professionals working in computational and applied mathematics.This is the modified version of the back-cover content on the print book