In this book, a wide range of problems concerning recent achievements in the field of industrial and applied mathematics are presented. It provides new ideas and research for scientists developing and studying mathematical methods and algorithms, and researchers applying them for solving real-life problems. The importance of the computing infrastructure is unquestionable for the development of modern science.The main focus of the book is the application of mathematics to industry and science. It promotes basic research in mathematics leading to new methods and techniques useful to industry and science. The volume also considers strategy-making integration between scientists of applied mathematics and those working in applied informatics, which has potential for long-lasting integration and co-operation. The integration role is regarded here as a tool for consolidation and reinforcement of the research, education and training, and for the transfer of scientific and management knowledge. This volume operates as a medium for the exchange of information and ideas between mathematicians and other technical and scientific personnel. The book will be essential for the promotion of interdisciplinary collaboration between applied mathematics and science, engineering and technology. The main topics examined in this volume are: numerical methods and algorithms; control systems and applications; partial differential equations and real-life applications; the high performance of scientific computing; linear algebra applications; neurosciences; algorithms in industrial mathematics; equations of mathematical physics; and industrial applications of mechanics.
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Chapter One Real Life Applications of PDF |
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Local Well-posedness for the Cubic Id Periodic Square-root Klein Gordon Equation |
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2 | (18) |
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An Estimate from Below for the First Eigenvalue of p-Laplacian via Hardy Inequalities |
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20 | (16) |
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On a Nonlocal Nonlinear Schrodinger Equation |
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36 | (17) |
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Bicharacteristic Curves in 3D Modelling of the Lithosphere |
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53 | (13) |
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Chapter Two High Performance of Scientific Computing |
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Tuning for Scalability on Hybrid HPC Cluster |
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66 | (14) |
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Parallel Algorithm for Field Fire Simulation |
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80 | (10) |
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A Multiscale Multilevel Algorithm using Analytical Coarse Operator Applied to Bone Tissue Modeling |
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90 | (13) |
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Improved Implementation of a Large-Scale Air Pollution Model |
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103 | (13) |
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Chapter Three Chaotic Systems and their Application in Industry |
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Chaotic Systems and their Application in Industry |
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116 | (34) |
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Chapter Four Industrial Applications in Mechanics |
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On 2D Finite Element Simulation of a Thermodynamically Consistent Li-ion Battery Microscale Model |
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150 | (14) |
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Spatiotemporal Stabilization of Ultrashort Light Pulses Propagating in Nonlinear Ionized Medium |
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164 | (14) |
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Chapter Five Algorithms in Industrial Mathematics |
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The Geometry of Pythagorean Quadruples and Rational Decomposition of Pseudo-Rotations |
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178 | (22) |
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Series in Prabhakar Functions and the Geometry of their Convergence |
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200 | (18) |
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Chapter Six Network Applications in Industry |
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Application of Probability Neural Networks for Classification of Explosives with Blasting Action |
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218 | (28) |
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Comparative Study on the Efficiency of Hybrid Learning Procedures Used for Training of Fuzzy-Neural Networks |
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246 | (11) |
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Creating GUI and Using Neural Network Tool to Study the Static Equation of Linear CNN |
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257 | (15) |
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Chapter Seven Nonlinear Waves and Simulations |
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Global Solvability and Finite Time Blow Up of the Solution to Sixth Order Boussinesq Equation |
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272 | (15) |
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Investigation of Two Numerical Schemes for the 2D Boussinesq Paradigm Equation in a Moving Frame Coordinate System |
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287 | (17) |
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Chapter Eight Mathematical Physics Equations and Applications in Industry |
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Examples of G-strand Equations |
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304 | (15) |
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Some Properties of the Spectral Decompositions for the Recursion Operators related to the Caudrey-Beals-Coifman System in the Presence of Zp Reductions of Mikhailov Type |
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319 | (14) |
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MKdV-type of Equations related to sl(N, C) Algebra |
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333 | (9) |
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On a One-parameter Family of MKdV Equations related to the so(8) Lie Algebra |
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342 | (11) |
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Asymptotic Behavior of Manakov Solitons: Effects of Shallow and Wide Potential Wells and Humps |
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353 | (17) |
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Chapter Nine Linear Algebra Applications |
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Stability Issues of a Partitioning Algorithm for Tridiagonal and Banded Linear Systems |
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370 | (14) |
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On the Stability of a Pentadiagonal Solver |
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384 | |
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Professor Angela Slavova received her MsC in Computer Engineering from Technical University, Russe, in 1986. From 19921993, she conducted research at the Florida Institute of Technology, USA, as the recipient of a Fulbright Scholarship. She received her PhD in Mathematics in 1994 and, in 2005, became a Doctor of Science, before becoming a Full Professor at the Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, in 2007. Professor Slavova is Head of the Department of Differential Equations and Mathematical Physics at the Institute of Mathematics, Bulgarian Academy of Sciences. She has participated in more than 30 conferences, workshops and seminars as an invited speaker, and has published more than 100 papers in various prestigious journals. The author and co-author of 3 monographs, Professor Slavova is also a member of AMS; SIAM; the Board of the Bulgarian Section of WSEAS; EMS; and the IEEE Technical Committee on CNNAD, and Chair of Bulgarian Section of SIAM.
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