Perturbed Functional Iterations
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Perturbed Functional Iterations
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Author : Suhrit Dey
language : en
Publisher: CRC Press
Release Date : 2024-06-28
Perturbed Functional Iterations written by Suhrit Dey and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-28 with Mathematics categories.
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
Perturbed Functional Iterations
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Author : S. K. Dey
language : en
Publisher: C&h/CRC Press
Release Date : 2024
Perturbed Functional Iterations written by S. K. Dey and has been published by C&h/CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with Mathematics categories.
"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"--
Numerical Solutions Of Nonlinear Stiff Initial Value Problems By Perturbed Functional Iterations
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Author :
language : en
Publisher:
Release Date : 1982
Numerical Solutions Of Nonlinear Stiff Initial Value Problems By Perturbed Functional Iterations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.
Handbook Of Differential Equations
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Author : Daniel Zwillinger
language : en
Publisher: Gulf Professional Publishing
Release Date : 1998
Handbook Of Differential Equations written by Daniel Zwillinger and has been published by Gulf Professional Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
This book compiles the most widely applicable methods for solving and approximating differential equations. as well as numerous examples showing the methods use. Topics include ordinary differential equations, symplectic integration of differential equations, and the use of wavelets when numerically solving differential equations. For nearly every technique, the book provides: 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 References to the literature for more discussion or more examples, including pointers to electronic resources, such as URLs
Iteration Theory And Its Functional Equations
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Author : Roman Liedl
language : en
Publisher: Springer
Release Date : 2006-11-14
Iteration Theory And Its Functional Equations written by Roman Liedl and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Large Scale Computations In Fluid Mechanics
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Author : Stanley Osher
language : en
Publisher: American Mathematical Soc.
Release Date : 1985-12-31
Large Scale Computations In Fluid Mechanics written by Stanley Osher and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-12-31 with Science categories.
Computational Issues In High Performance Software For Nonlinear Optimization
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Author : Almerico Murli
language : en
Publisher: Springer
Release Date : 2007-06-14
Computational Issues In High Performance Software For Nonlinear Optimization written by Almerico Murli and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-14 with Business & Economics categories.
Computational Issues in High Performance Software for Nonlinear Research brings together in one place important contributions and up-to-date research results in this important area. Computational Issues in High Performance Software for Nonlinear Research serves as an excellent reference, providing insight into some of the most important research issues in the field.
Mathematical Modelling In Science And Technology
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Author : Xavier J.R. Avula
language : en
Publisher: Elsevier
Release Date : 2014-05-09
Mathematical Modelling In Science And Technology written by Xavier J.R. Avula and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-09 with Mathematics categories.
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.
Soft Computing Theories And Applications
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Author : Millie Pant
language : en
Publisher: Springer Nature
Release Date : 2020-02-24
Soft Computing Theories And Applications written by Millie Pant and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-24 with Technology & Engineering categories.
The book focuses on soft computing and its applications to solve real-world problems in different domains, ranging from medicine and health care, to supply chain management, image processing and cryptanalysis. It includes high-quality papers presented at the International Conference on Soft Computing: Theories and Applications (SoCTA 2018), organized by Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, Punjab, India. Offering significant insights into soft computing for teachers and researchers alike, the book inspires more researchers to work in the field of soft computing.
Analytic Perturbation Theory And Its Applications
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Author : Konstantin E. Avrachenkov
language : en
Publisher: SIAM
Release Date : 2013-12-11
Analytic Perturbation Theory And Its Applications written by Konstantin E. Avrachenkov and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-11 with Mathematics categories.
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.