Computational Wave Dynamics explains the analytical, semi-analytical, and numerical methods for finding exact or approximate solutions to various linear and nonlinear differential equations governing wave-like flows. The book explores the latest and most efficient linear and nonlinear differential equations that govern all waves with particular emphasis on water waves, helping the reader to incorporate a more profound numerical understanding of waves in a range of engineering solutions. Procedures, algorithms, and solutions are presented in a simple step-by-step style, helping readers with different backgrounds at various levels to engage with this topic.
Waves exist almost everywhere in nature. Different types include water, sound, electromagnetic, seismic, and shock. The breadth of different methods addressed in this one book creates a uniquely valuable resource for the comparison of equations, and acts as a very useful summary of recent research into computational wave dynamics.
Table of Contents
1. Introduction to water wave equations 2. Recent developments of different methods for solving water wave equations 3. Analytical Methods 4. Semi Analytical Methods 5. Numerical Methods 6. Korteweg-de Vries Equations 7. Shallow Water Equations 8. Burgers' equation 9. Benjamin Bona Mahony equation
Authors
Snehashish Chakraverty Full Professor, Department of Mathematics, Applied Mathematics Group, National Institute of Technology Rourkela, Rourkela, Odisha, India.
Prof. S. Chakraverty has 30 years of experience as a researcher and teacher. Presently he is working in the Department of Mathematics (Applied Mathematics Group), National Institute of Technology Rourkela, Odisha, as Senior (Higher Administrative Grade) Professor. Prior to this, he was with CSIR-Central Building Research Institute, Roorkee, India. After completing Graduation from St. Columba's College (Ranchi University), his career started from the then University of Roorkee (currently Indian Institute of Technology Roorkee) and completed M. Sc. (Mathematics) and M. Phil. (Computer Applications) from there securing the first positions in the university. Dr. Chakraverty received his Ph.D. from IIT Roorkee in 1992. Thereafter, he completed his postdoctoral research at the Institute of Sound and Vibration Research (ISVR), University of Southampton, England and at the Faculty of Engineering and Computer Science, Concordia University, Canada. He was also a visiting professor at Concordia and McGill universities, Canada, during 1997-1999 and a visiting professor of the University of Johannesburg, South Africa, during 2011-2014. So far, he has authored/co-authored 21 books, published 374 research papers in journals and conferences; another book is in press and he is now writing two books. He is in the editorial boards of various international journals, book series and conferences. Prof. Chakraverty is the Chief Editor of International Journal of Fuzzy Computation and Modelling (IJFCM), Inderscience Publishers, Switzerland (http://www.inderscience.com/ijfcm), Associate Editor of the "Computational Methods in Structural Engineering section of Frontiers in Built Environment and an editorial board member of Springer Nature Applied Sciences, IGI Research Insights Books, Springer Book Series of Modeling and Optimization in Science and Technologies, Coupled Systems Mechanics (Techno Press), Curved and Layered Structures (De Gruyter), Journal of Composites Science (MDPI), Engineering Research Express (IOP) and Applications and Applied Mathematics: An International Journal. He is also the reviewer of around 50 national and international journals of repute, and he was the president of the Section of Mathematical Sciences (including Statistics) of Indian Science Congress (2015-2016) and was the vice president of Orissa Mathematical Society (2011-2013). Prof. Chakraverty is a recipient of prestigious awards such as Indian National Science Academy (INSA) nomination under International Collaboration/Bilateral Exchange Program (with the Czech Republic), Platinum Jubilee ISCA Lecture Award (2014), CSIR Young Scientist Award (1997), BOYSCAST Fellow (DST), UCOST Young Scientist Award (2007, 2008), Golden Jubilee Director's Award (CBRI; 2001), INSA International Bilateral Exchange Award ([2010-11 (selected but could not undertake), 2015 (selected)], and Roorkee University gold medals (1987, 1988) for first positions in M.Sc. and M. Phil. (Comp. Appl.). He has so far guided 18 Ph.D. students and is guiding 9 students currently. Prof. Chakraverty has undertaken around 16 research projects as principle investigator funded by international and national agencies, with a total worth of about Rs.1.5 crores. A good number of international and national conferences, workshops, and training programs have also been organized by him. His present research area includes differential equations (ordinary, partial, and fractional), numerical analysis and computational methods, structural dynamics (FGM, Nano) and fluid dynamics, mathematical and uncertainty Modeling, soft computing and machine intelligence (artificial neural network, fuzzy, interval and affine computations).
Karunakar Perumandla Researcher, Department of Mathematics, National Institute of Technology, Rourkela, India.
Perumandla Karunakar's research focuses mainly on novel applications of applied mathematics to fluid flow problems. His research has been published in several internationally respected academic journals.
