The Numerical Solution Of Nonlinear Problems


The Numerical Solution Of Nonlinear Problems
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The Numerical Solution Of Nonlinear Problems


The Numerical Solution Of Nonlinear Problems
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Author : Christopher T. H. Baker
language : en
Publisher: Oxford University Press, USA
Release Date : 1981

The Numerical Solution Of Nonlinear Problems written by Christopher T. H. Baker and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Language Arts & Disciplines categories.




Numerical Solution Of Nonlinear Boundary Value Problems With Applications


Numerical Solution Of Nonlinear Boundary Value Problems With Applications
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Author : Milan Kubicek
language : en
Publisher: Courier Corporation
Release Date : 2008-01-01

Numerical Solution Of Nonlinear Boundary Value Problems With Applications written by Milan Kubicek and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with Mathematics categories.


A survey of the development, analysis, and application of numerical techniques in solving nonlinear boundary value problems, this text presents numerical analysis as a working tool for physicists and engineers. Starting with a survey of accomplishments in the field, it explores initial and boundary value problems for ordinary differential equations, linear boundary value problems, and the numerical realization of parametric studies in nonlinear boundary value problems. The authors--Milan Kubicek, Professor at the Prague Institute of Chemical Technology, and Vladimir Hlavacek, Professor at the University of Buffalo--emphasize the description and straightforward application of numerical techniques rather than underlying theory. This approach reflects their extensive experience with the application of diverse numerical algorithms.



Lectures On Numerical Methods For Non Linear Variational Problems


Lectures On Numerical Methods For Non Linear Variational Problems
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Author : R. Glowinski
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-22

Lectures On Numerical Methods For Non Linear Variational Problems written by R. Glowinski 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 2008-01-22 with Mathematics categories.


When Herb Keller suggested, more than two years ago, that we update our lectures held at the Tata Institute of Fundamental Research in 1977, and then have it published in the collection Springer Series in Computational Physics, we thought, at first, that it would be an easy task. Actually, we realized very quickly that it would be more complicated than what it seemed at first glance, for several reasons: 1. The first version of Numerical Methods for Nonlinear Variational Problems was, in fact, part of a set of monographs on numerical mat- matics published, in a short span of time, by the Tata Institute of Fun- mental Research in its well-known series Lectures on Mathematics and Physics; as might be expected, the first version systematically used the material of the above monographs, this being particularly true for Lectures on the Finite Element Method by P. G. Ciarlet and Lectures on Optimization—Theory and Algorithms by J. Cea. This second version had to be more self-contained. This necessity led to some minor additions in Chapters I-IV of the original version, and to the introduction of a chapter (namely, Chapter Y of this book) on relaxation methods, since these methods play an important role in various parts of this book.



Numerical Methods For Nonlinear Variational Problems


Numerical Methods For Nonlinear Variational Problems
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Author : Roland Glowinski
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Numerical Methods For Nonlinear Variational Problems written by Roland Glowinski 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 2013-06-29 with Science categories.


This book describes the mathematical background and reviews the techniques for solving problems, including those that require large computations such as transonic flows for compressible fluids and the Navier-Stokes equations for incompressible viscous fluids. Finite element approximations and non-linear relaxation, and nonlinear least square methods are all covered in detail, as are many applications. This volume is a classic in a long-awaited softcover re-edition.



Variational Methods For The Numerical Solution Of Nonlinear Elliptic Problem


Variational Methods For The Numerical Solution Of Nonlinear Elliptic Problem
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Author : Roland Glowinski
language : en
Publisher: SIAM
Release Date : 2015-11-04

Variational Methods For The Numerical Solution Of Nonlinear Elliptic Problem written by Roland Glowinski and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-04 with Mathematics categories.


Variational Methods for the Numerical Solution of Nonlinear Elliptic Problems?addresses computational methods that have proven efficient for the solution of a large variety of nonlinear elliptic problems. These methods can be applied to many problems in science and engineering, but this book focuses on their application to problems in continuum mechanics and physics. This book differs from others on the topic by presenting examples of the power and versatility of operator-splitting methods; providing a detailed introduction to alternating direction methods of multipliers and their applicability to the solution of nonlinear (possibly nonsmooth) problems from science and engineering; and showing that nonlinear least-squares methods, combined with operator-splitting and conjugate gradient algorithms, provide efficient tools for the solution of highly nonlinear problems. The book provides useful insights suitable for advanced graduate students, faculty, and researchers in applied and computational mathematics as well as research engineers, mathematical physicists, and systems engineers.



Numerical Solution Of Systems Of Nonlinear Algebraic Equations


Numerical Solution Of Systems Of Nonlinear Algebraic Equations
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Author : George D. Byrne
language : en
Publisher: Elsevier
Release Date : 2014-05-10

Numerical Solution Of Systems Of Nonlinear Algebraic Equations written by George D. Byrne and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.


Numerical Solution of Systems of Nonlinear Algebraic Equations contains invited lectures of the NSF-CBMS Regional Conference on the Numerical Solution of Nonlinear Algebraic Systems with Applications to Problems in Physics, Engineering and Economics, held on July 10-14, 1972. This book is composed of 10 chapters and begins with the concepts of nonlinear algebraic equations in continuum mechanics. The succeeding chapters deal with the numerical solution of quasilinear elliptic equations, the nonlinear systems in semi-infinite programming, and the solution of large systems of linear algebraic equations. These topics are followed by a survey of some computational techniques for the nonlinear least squares problem. The remaining chapters explore the problem of nonlinear functional minimization, the modification methods, and the computer-oriented algorithms for solving system. These chapters also examine the principles of contractor theory of solving equations. This book will prove useful to undergraduate and graduate students.



Numerical Solution Of Nonlinear Elliptic Problems Via Preconditioning Operators


Numerical Solution Of Nonlinear Elliptic Problems Via Preconditioning Operators
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Author : István Faragó
language : en
Publisher: Nova Publishers
Release Date : 2002

Numerical Solution Of Nonlinear Elliptic Problems Via Preconditioning Operators written by István Faragó and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.


Numerical Solution of Nonlinear Elliptic Problems Via Preconditioning Operators - Theory & Applications



Numerical Solution Of Nonlinear Equations


Numerical Solution Of Nonlinear Equations
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Author : E.L. Allgöwer
language : de
Publisher: Springer
Release Date : 2006-11-14

Numerical Solution Of Nonlinear Equations written by E.L. Allgöwer 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.




Numerical Solutions Of Nonlinear Problems


Numerical Solutions Of Nonlinear Problems
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Author : James M. Ortega
language : en
Publisher:
Release Date : 1970

Numerical Solutions Of Nonlinear Problems written by James M. Ortega and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Mathematics categories.




Numerical Methods For Nonlinear Engineering Models


Numerical Methods For Nonlinear Engineering Models
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Author : John R. Hauser
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-03-24

Numerical Methods For Nonlinear Engineering Models written by John R. Hauser 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 2009-03-24 with Technology & Engineering categories.


There are many books on the use of numerical methods for solving engineering problems and for modeling of engineering artifacts. In addition there are many styles of such presentations ranging from books with a major emphasis on theory to books with an emphasis on applications. The purpose of this book is hopefully to present a somewhat different approach to the use of numerical methods for - gineering applications. Engineering models are in general nonlinear models where the response of some appropriate engineering variable depends in a nonlinear manner on the - plication of some independent parameter. It is certainly true that for many types of engineering models it is sufficient to approximate the real physical world by some linear model. However, when engineering environments are pushed to - treme conditions, nonlinear effects are always encountered. It is also such - treme conditions that are of major importance in determining the reliability or failure limits of engineering systems. Hence it is essential than engineers have a toolbox of modeling techniques that can be used to model nonlinear engineering systems. Such a set of basic numerical methods is the topic of this book. For each subject area treated, nonlinear models are incorporated into the discussion from the very beginning and linear models are simply treated as special cases of more general nonlinear models. This is a basic and fundamental difference in this book from most books on numerical methods.