The book discusses important results in modern mathematical models and high performance computing, such as applied operations research, simulation of operations, statistical modeling and applications, invisibility regions and regular meta-materials, unmanned vehicles, modern radar techniques/SAR imaging, satellite remote sensing, coding, and robotic systems. Furthermore, it is valuable as a reference work and as a basis for further study and research. All contributing authors are respected academicians, scientists and researchers from around the globe. All the papers were presented at the international conference on Modern Mathematical Methods and High Performance Computing in Science & Technology (M3HPCST 2015), held at Raj Kumar Goel Institute of Technology, Ghaziabad, India, from 27–29 December 2015, and peer-reviewed by international experts.
The conference provided an exceptional platform for leading researchers, academicians, developers, engineers and technocrats from a broad range of disciplines to meet and discuss state-of-the-art mathematical methods and high performance computing in science & technology solutions. This has brought new prospects for collaboration across disciplines and ideas that facilitate novel breakthroughs.
Table of Content
Ali Aral and Tuncer Acar: On Approximation Properties of Generalized Durrmeyer Operators.- Atma Sahu and S. Chakravarty: Regression Based Neural Network Simulation for Vibration Frequencies of the Rotating Blade.- D. K. Verma and Vijay Gupta: Approximation by a new sequence of operators involving Charlier Polynomials with a certain parameter.- Dae San Kim and Taekyun Kim: Identities of Symmetry for the Generalized Degenerate Euler Polynomials.- David Feller, Fairouz Kamareddine and Lavinia Burski: Using Math Lang to Check the Correctness of Speci cations in Object-Z.- Dharmendra Kumar and Sachin Kumar: Ultimate Numerical Bound Estimation of Chaotic Dynamical Finance Model.- Gajendra Pratap Singh and Sangita Kansal: Basic Results on Crisp Boolean Petri Nets.- Galina Filipuk: The roperties of Multiple Orthogonal Polynomials with Mathematica.- Georgy A. Omel’yanov: The problem of soliton collision for non-integrable equations.- H. Begehr: Explicit solutions of the Poisson equation in plane domains.- Irene Azzali, Giulia Marcaccio, Rosanna Turrisi and Ezio Venturino: A genetically istinguishable competition model.- Johannes Israel, Andreas Fischer and John Martinovic: Discrete and Phase-Only Receive Beamforming.- Joshua L. Padgett and Qin Sheng: On the stability of a variable step exponential splitting method for solving multidimensional quenching-combustion equations.- Michael M. Resch: Perspectives in High Performance Computing.- Naokant Deoa and Neha Bhardwaj: Direct and Inverse Theorems for Beta Durrmeyer Operators.- Pramila Joshi: Big Data Gets Cloudy : Challenges and opportunities.- Prashant Kumar, Gulshan Batra and Kwang Ik Kim: A Moored Ship Motion Analysis in Realistic Pohang New Harbor and Modified PNH.- Qin Sheng: The legacy of ADI and LOD methods and an operator splitting algorithm for solving highly oscillatory wave problems.- R. G. Vyas: Generalized absolute convergence of trigonometric Fourier series.- Sourav Das and A. Swaminathan: Some new inequalities for the ratio of gamma functions.- Tanweer Jalal: Some new I-lacunary generalized di erence sequence spaces in n-normed space.- Tony W. H. Sheu: GPU-accelerated simulation of Maxwell’s equations.- Vinai K. Singh and A. K.Singh: A Collocation Method for Integral Equations in Terms of Generalized Bernstein Polynomials.- Vijay Gupta and V. K. Singh: Convergence estimates in simultaneous approximation for certain generalized Baskakov operators.- Yulia Pronina: Mechanochemical Corrosion: Modelling and Analytical Benchmarks for Initial Boundary Value Problems with Unknown Boundaries.
About the author
Vinai K. Singh is professor at the Department of Applied Mathematics at Raj Kumar Goel Institute of Technology, Ghaziabad, India. He holds a Ph D degree in approximation theory from the Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, India. He has been actively engaged in research activities since 1997. His area of research is functional analysis, approximation theory and different kind of positive operators. He is author of three book chapters and over 24 research papers in the international journals. He referees articles for professional journals and serves as editorial member of many national and international journals. H. M. Srivastava is professor emeritus at the Department of Mathematics and Statistics, University of Victoria, Canada. He joined the University of Victoria in 1969, first as associate professor (1969–1974), and then as full professor (1974–2006). Professor Srivastava has held numerous visiting positions including (for example) those at West Virginia University in the U.S.A (1967–1969), Universite Laval in Canada (1975), and the University of Glasgow in the U.K. (1975–1976), and indeed also at many other universities and research institutes in different parts of the world. Professor Srivastava has published 21 books (monographs and edited volumes), 30 book chapters, 45 papers in international conference proceedings, and over 1, 000 scientific research journal articles on various topics of mathematical analysis and applicable mathematics. In addition, he has written forewords to several books by other authors and to several special issues of scientific journals. He has also edited (and contributed to) many volumes, which are dedicated to the memories of famous mathematical scientists. Citations of his research contributions can be found in many books and monographs, Ph D and D.Sc. theses, and scientific journal articles, much too numerous to be recorded here. Currently, he is actively associated editorially (that is, as editor, honorary editor, senior editor, associate editor or editorial board member) with over 200 international scientific research journals. His biographical sketches (many of which are illustrated with his photograph) have appeared in various issues of more than 50 international biographies, directories and Who’s Who’s.
Ezio Venturino has obtained his Ph D in applied mathematics from SUNY at Stony Brook. His research interest lies in numerical analysis and mathematical modelling. In numerical analysis, he has studied quadrature formulae for singular integrals, methods for singular integral equations, and lacunary interpolation problems. In mathematical modelling, he has investigated biological and socioeconomic applications. Among his professional activities, he has coauthored a book for CRC Press and co-edited another book for Birkhauser. He has authored about 40 research papers in numerical analysis and over 160 in mathematical modelling. He has attended more than 150 international conferences with several plenary talks given upon invitation, contributing a paper to most, regularly organizing special sessions and chairing sessions and doing organizational work. He acts regularly as referee for several international journals. His editorial activity involves the following journals/books:
Electronic Proceedings of WSEAS,
Conference on Mathematics and Computers in Biology and Chemistry 2004, guest editor for
WSEAS Transactions on Biology and Biomedicine, 1(4), October 2004, area editor for
Simulation Theory and Practice (Elsevier) during 2008–2013, advisory editor for
Mathematical Methods in the Applied Sciences (Wiley) since 2009, editorial board of
Network Biology,
Computational Ecology and Software,
Shekhar (New Series)
International Journal of Mathematics,
Proceedings CMMSE 2008, 2009, 2010, 2011, 2012, 2013, 2014,
Proceedings DWCAA 2009, associate editor for
Contemporary Mathematics and Statistics (Columbia International Publishing) since 2012,
Rendiconti del Seminario Matematico dell’Universita’ e del Politecnico di Torino since 2015, member of BIOMAT Consortium Director Board since 2015, editorial board of
Applied Mathematics and Nonlinear Sciences since 2016.
Michael Resch is the director of the High Performance Computing Center Stuttgart (HLRS) and the Department for HPC (IHR) at the University of Stuttgart, holding a full professorship at HPC. He was an invited plenary speaker at the International Conference for High Performance Computing, Networking, Storage and Analysis (SC07) in Reno, USA. He won HPC Wire awards for industrial applications in 2013 and 2015 and won with his team the HPC Challenge Award in 2003. In 1999, his team received the NSF Award for High Performance Distributed Computing. He holds honorable doctoral degrees of the Technical University of Donezk, Ukraine (2009)and of the Russian Academy of Science (2011) as well as an honorary professorship from the Russian Academy of Sciences (2014). Michael Resch is a principal investigator in the cluster of excellence for simulation technology as part of the German National Initiative for Excellence in Research. Michael Resch holds an MSc in Technical Mathematics (Technical University of Graz, Austria) and a Ph D in Engineering from the University of Stuttgart. In 2002, he held an assistant professorship at the Department of Computer Science of the University of Houston, Texas. Vijay Gupta is professor at the Department of Mathematics at Netaji Subhas Institute of Technology, New Delhi. He obtained his Ph D from the University of Roorkee (now IIT Roorkee, India). His area of research is approximation theory, especially on convergence of linear positive operators. He is the author of two books, 11 book chapters and over 260 research papers in journals of international repute. He visited severaluniversities globally for academic activities and delivered many lectures. He is actively associated editorially with over 25 international scientific research journals.
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