Perturbed Functional Iterations


Perturbed Functional Iterations
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Perturbed Functional Iterations


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


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"--



Perturbed Functional Iterations


Perturbed Functional Iterations
DOWNLOAD
FREE 30 Days

Author : S. K. Dey
language : en
Publisher: CRC Press
Release Date : 2024

Perturbed Functional Iterations written by S. K. 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 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. 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.



Numerical Solutions Of Nonlinear Stiff Initial Value Problems By Perturbed Functional Iterations


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.




Computational Issues In High Performance Software For Nonlinear Optimization


Computational Issues In High Performance Software For Nonlinear Optimization
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Author : Almerico Murli
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-01-31

Computational Issues In High Performance Software For Nonlinear Optimization written by Almerico Murli and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-31 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


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.



Scientific And Technical Aerospace Reports


Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1989

Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Aeronautics categories.




Mathematical Biology


Mathematical Biology
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Author : T. A. Burton
language : en
Publisher: Elsevier
Release Date : 2016-06-21

Mathematical Biology written by T. A. Burton and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-21 with Science categories.


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.



Hyperbolic Partial Differential Equations


Hyperbolic Partial Differential Equations
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Author : Matthew Witten
language : en
Publisher: Elsevier
Release Date : 2014-05-17

Hyperbolic Partial Differential Equations written by Matthew Witten and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-17 with Mathematics categories.


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.



Numerical Mathematics And Applications


Numerical Mathematics And Applications
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Author : J. Vignes
language : en
Publisher: Elsevier
Release Date : 2014-06-28

Numerical Mathematics And Applications written by J. Vignes and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Mathematics categories.


Numerical Mathematics and Applications