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Perturbed Functional Iterations
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Book Synopsis Perturbed Functional Iterations by : Suhrit Dey
Download or read book Perturbed Functional Iterations written by Suhrit Dey and published by CRC Press. This book was released on 2024-06-28 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perturbed functional iterations (PFI) is a large‐scale nonlinear system solver. Nature is abundant with events simulated mathematically by nonlinear systems of equations and inequalities. These we call nonlinear models. Often, they are ill‐conditioned, meaning small changes in data causing huge changes in the output. PFI, previously called the perturbed iterative scheme (PIS), is a numerical method to solve nonlinear systems of equations in multidimensional space. Computational results demonstrate that this numerical method has some unique features, which have made it more practical for applications in engineering and applied mathematics. This book will guide readers in the proper use of PFI, both in theoretical and practical settings. Features: Ideal resource for postgraduates and professional researchers in science and engineering working in nonlinear systems Algorithmically simple enough for engineers and applied scientists to write their own software based on the contents
Book Synopsis Perturbed Functional Iterations by : S. K. Dey
Download or read book Perturbed Functional Iterations written by S. K. Dey and published by C&h/CRC Press. This book was released on 2024 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Perturbed Functional Iterations (PFI) is a large-scale nonlinear system solver. Nature is abundant with events simulated mathematically by nonlinear systems of equations and inequalities. These we call nonlinear models. Often, they are ill conditioned, meaning small changes in data causing huge changes in the output. PFI, which was earlier called PIS (Perturbed Iterative Scheme) is a numerical method to solve nonlinear systems of equations in multidimensional space. Computational results demonstrate that this numerical method has some unique features which have made it more practical for applications in engineering and science. This book will guide readers with the proper use of PFI, both in theoretical and practical settings"--
Book Synopsis Numerical Solutions of Nonlinear STIFF Initial Value Problems by Perturbed Functional Iterations by :
Download or read book Numerical Solutions of Nonlinear STIFF Initial Value Problems by Perturbed Functional Iterations written by and published by . This book was released on 1982 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Solution of Nonlinear STIFF Initial-value Problems by Perturbed Functional Iterations by : S. K. Dey
Download or read book Numerical Solution of Nonlinear STIFF Initial-value Problems by Perturbed Functional Iterations written by S. K. Dey and published by . This book was released on 1982 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Perturbed Functional Iterations by : S. K. Dey
Download or read book Perturbed Functional Iterations written by S. K. Dey and published by Chapman & Hall/CRC. This book was released on 2024 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perturbed Functional Iterations is a large-scale nonlinear system solver. Nature is abundant with events simulated mathematically by nonlinear systems of equations and inequalities. These we call nonlinear models. This book will guide readers with the proper use of PFI, both in theoretical and practical settings.
Book Synopsis Mathematical Modelling in Science and Technology by : Xavier J.R. Avula
Download or read book Mathematical Modelling in Science and Technology written by Xavier J.R. Avula and published by Elsevier. This book was released on 2014-05-09 with total page 1023 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Modelling in Science and Technology: The Fourth International Conference covers the proceedings of the Fourth International Conference by the same title, held at the Swiss Federal Institute of Technology, Zurich, Switzerland on August 15-17, 1983. Mathematical modeling is a powerful tool to solve many complex problems presented by scientific and technological developments. This book is organized into 20 parts encompassing 180 chapters. The first parts present the basic principles, methodology, systems theory, parameter estimation, system identification, and optimization of mathematical modeling. The succeeding parts discuss the features of stochastic and numerical modeling and simulation languages. Considerable parts deal with the application areas of mathematical modeling, such as in chemical engineering, solid and fluid mechanics, water resources, medicine, economics, transportation, and industry. The last parts tackle the application of mathematical modeling in student management and other academic cases. This book will prove useful to researchers in various science and technology fields.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1989 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Biology by : T. A. Burton
Download or read book Mathematical Biology written by T. A. Burton and published by Elsevier. This book was released on 2016-06-21 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Biology: A Conference on Theoretical Aspects of Molecular Science is a collection of papers that covers various investigations in mathematical biology. The text tackles a wide range of topics, from biological equation models up to electrical phenomena in biological systems. The coverage of the text includes existence of a periodic solution for a two predator-one prey ecosystem modeled on a chemostat; mathematical treatment of nerve conduction and cardiac purkinje fibers; and models of positional information. The book will be of great interest to students, researchers, and practitioners of biological sciences.
Book Synopsis Hyperbolic Partial Differential Equations by : Matthew Witten
Download or read book Hyperbolic Partial Differential Equations written by Matthew Witten and published by Elsevier. This book was released on 2014-05-17 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hyperbolic Partial Differential Equations, Volume 1: Population, Reactors, Tides and Waves: Theory and Applications covers three general areas of hyperbolic partial differential equation applications. These areas include problems related to the McKendrick/Von Foerster population equations, other hyperbolic form equations, and the numerical solution. This text is composed of 15 chapters and begins with surveys of age specific population interactions, populations models of diffusion, nonlinear age dependent population growth with harvesting, local and global stability for the nonlinear renewal equation in the Von Foerster model, and nonlinear age-dependent population dynamics. The next chapters deal with various applications of hyperbolic partial differential equations to such areas as age-structured fish populations, density dependent growth in a cell colony, boll-weevil-cotton crop modeling, age dependent predation and cannibalism, parasite populations, growth of microorganisms, and stochastic perturbations in the Von Foerster model. These topics are followed by discussions of bifurcation of time periodic solutions of the McKendrick equation; the periodic solution of nonlinear hyperbolic problems; and semigroup theory as applied to nonlinear age dependent population dynamics. Other chapters explore the stability of biochemical reaction tanks, an ADI model for the Laplace tidal equations, the Carleman equation, the nonequilibrium behavior of solids that transport heat by second sound, and the nonlinear hyperbolic partial differential equations and dynamic programming. The final chapters highlight two explicitly numerical applications: a predictor-convex corrector method and the Galerkin approximation in hyperbolic partial differential equations. This book will prove useful to practicing engineers, population researchers, physicists, and mathematicians.
Book Synopsis Numerical Mathematics and Applications by : J. Vignes
Download or read book Numerical Mathematics and Applications written by J. Vignes and published by Elsevier. This book was released on 2014-06-28 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Mathematics and Applications
Book Synopsis Handbook of Differential Equations by : Daniel Zwillinger
Download or read book Handbook of Differential Equations written by Daniel Zwillinger and published by CRC Press. This book was released on 2021-12-30 with total page 737 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through the previous three editions, Handbook of Differential Equations has proven an invaluable reference for anyone working within the field of mathematics, including academics, students, scientists, and professional engineers. The book is a compilation of methods for solving and approximating differential equations. These include the most widely applicable methods for solving and approximating differential equations, as well as numerous methods. Topics include methods for ordinary differential equations, partial differential equations, stochastic differential equations, and systems of such equations. Included for nearly every method are: The types of equations to which the method is applicable The idea behind the method The procedure for carrying out the method At least one simple example of the method Any cautions that should be exercised Notes for more advanced users The fourth edition includes corrections, many supplied by readers, as well as many new methods and techniques. These new and corrected entries make necessary improvements in this edition.
Book Synopsis MacHine-Learning Based Sequence Analysis, Bioinformatics and Nanopore Transduction Detection by : Stephen Winters-Hilt
Download or read book MacHine-Learning Based Sequence Analysis, Bioinformatics and Nanopore Transduction Detection written by Stephen Winters-Hilt and published by Lulu.com. This book was released on 2011-05-01 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is intended to be a simple and accessible book on machine learning methods and their application in computational genomics and nanopore transduction detection. This book has arisen from eight years of teaching one-semester courses on various machine-learning, cheminformatics, and bioinformatics topics. The book begins with a description of ad hoc signal acquisition methods and how to orient on signal processing problems with the standard tools from information theory and signal analysis. A general stochastic sequential analysis (SSA) signal processing architecture is then described that implements Hidden Markov Model (HMM) methods. Methods are then shown for classification and clustering using generalized Support Vector Machines, for use with the SSA Protocol, or independent of that approach. Optimization metaheuristics are used for tuning over algorithmic parameters throughout. Hardware implementations and short code examples of the various methods are also described.
Book Synopsis Iterative Methods for Ill-posed Problems by : Anatoly B. Bakushinsky
Download or read book Iterative Methods for Ill-posed Problems written by Anatoly B. Bakushinsky and published by Walter de Gruyter. This book was released on 2011 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ill-posed problems are encountered in countless areas of real world science and technology. A variety of processes in science and engineering is commonly modeled by algebraic, differential, integral and other equations. In a more difficult case, it can be systems of equations combined with the associated initial and boundary conditions. Frequently, the study of applied optimization problems is also reduced to solving the corresponding equations. These equations, encountered both in theoretical and applied areas, may naturally be classified as operator equations. The current textbook will focus on iterative methods for operator equations in Hilbert spaces.
Book Synopsis New Trends and Technologies in Computer-Aided Learning for Computer-Aided Design by : Achim Rettberg
Download or read book New Trends and Technologies in Computer-Aided Learning for Computer-Aided Design written by Achim Rettberg and published by Springer. This book was released on 2006-03-09 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: "New Trends and Technologies in Computer-Aided Learning for Computer-Aided Design" contains the proceedings from the EduTech Workshop, an IFIP TC-10 Working Conference held in Perth, Australia. The workshop aimed to explore the interrelationship between computer-aided technology and computer-aided learning. Computation and communication technologies underpin work and development in many different areas. Among them, Computer-Aided Design of electronic systems and E-Learning technologies are two areas which are different but share many concerns. The design of CAD and E-Learning systems already touches on a number of parallels, such as system interoperability, user interfaces, standardization, EML-based formats, reusability aspects (of content or designs), and intellectual property rights. Furthermore, the teaching of Design Automation tools and methods is particularly amenable to a distant or blended learning setting, and implies the interconnection of typical CAD tools, such as simulators or synthesis tools, with e-learning tools.
Book Synopsis Analytic Perturbation Theory and Its Applications by : Konstantin E. Avrachenkov
Download or read book Analytic Perturbation Theory and Its Applications written by Konstantin E. Avrachenkov and published by SIAM. This book was released on 2013-12-11 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical models are often used to describe complex phenomena such as climate change dynamics, stock market fluctuations, and the Internet. These models typically depend on estimated values of key parameters that determine system behavior. Hence it is important to know what happens when these values are changed. The study of single-parameter deviations provides a natural starting point for this analysis in many special settings in the sciences, engineering, and economics. The difference between the actual and nominal values of the perturbation parameter is small but unknown, and it is important to understand the asymptotic behavior of the system as the perturbation tends to zero. This is particularly true in applications with an apparent discontinuity in the limiting behavior?the so-called singularly perturbed problems. Analytic Perturbation Theory and Its Applications includes a comprehensive treatment of analytic perturbations of matrices, linear operators, and polynomial systems, particularly the singular perturbation of inverses and generalized inverses. It also offers original applications in Markov chains, Markov decision processes, optimization, and applications to Google PageRank? and the Hamiltonian cycle problem as well as input retrieval in linear control systems and a problem section in every chapter to aid in course preparation.
Book Synopsis On The Exact Solution of Nonlinear Differential Equations Using Variational Iteration Method and Homotopy Perturbation Method by : Mohsen Soori
Download or read book On The Exact Solution of Nonlinear Differential Equations Using Variational Iteration Method and Homotopy Perturbation Method written by Mohsen Soori and published by GRIN Verlag. This book was released on 2019-01-16 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research Paper (postgraduate) from the year 2019 in the subject Mathematics - Applied Mathematics, , language: English, abstract: In this paper, the Variational Iteration Method (VIM) and the Homotopy Perturbation Method (HPM) are applied to solve the non-linear differential equations. The Newell-Whitehead-Segel equation, the Burgers-Huxley, the Burgers-Fisher equation, the Fitzhugh–Nagumo Equation, the Fisher Type Equation are studied in different chapters and exact solutions are also obtained. A comparison is made between obtained results in finding the exact solution of the equation in order to present precision of the methods. The results prove capability and great potential of the methods as effective algorithms in order to obtain the exact solution of non-linear differential equations.
Book Synopsis Handbook of Simulation Optimization by : Michael C Fu
Download or read book Handbook of Simulation Optimization written by Michael C Fu and published by Springer. This book was released on 2014-11-13 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Simulation Optimization presents an overview of the state of the art of simulation optimization, providing a survey of the most well-established approaches for optimizing stochastic simulation models and a sampling of recent research advances in theory and methodology. Leading contributors cover such topics as discrete optimization via simulation, ranking and selection, efficient simulation budget allocation, random search methods, response surface methodology, stochastic gradient estimation, stochastic approximation, sample average approximation, stochastic constraints, variance reduction techniques, model-based stochastic search methods and Markov decision processes. This single volume should serve as a reference for those already in the field and as a means for those new to the field for understanding and applying the main approaches. The intended audience includes researchers, practitioners and graduate students in the business/engineering fields of operations research, management science, operations management and stochastic control, as well as in economics/finance and computer science.
