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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.
Vinai K. Singh is professor at the Department of Applied Mathematics at Raj Kumar Goel Institute of Technology, Ghaziabad, India. He holds a PhD 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.
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 PhD 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.
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 MathLang 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.
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