Computational Solution of Nonlinear Operator Equations

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Publisher :
ISBN 13 :
Total Pages : 254 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Computational Solution of Nonlinear Operator Equations by : Louis B. Rall

Download or read book Computational Solution of Nonlinear Operator Equations written by Louis B. Rall and published by . This book was released on 1979 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Solution of Nonlinear Systems of Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821896945
Total Pages : 788 pages
Book Rating : 4.8/5 (969 download)

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Book Synopsis Computational Solution of Nonlinear Systems of Equations by : Eugene L. Allgower

Download or read book Computational Solution of Nonlinear Systems of Equations written by Eugene L. Allgower and published by American Mathematical Soc.. This book was released on 1990-04-03 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear equations arise in essentially every branch of modern science, engineering, and mathematics. However, in only a very few special cases is it possible to obtain useful solutions to nonlinear equations via analytical calculations. As a result, many scientists resort to computational methods. This book contains the proceedings of the Joint AMS-SIAM Summer Seminar, ``Computational Solution of Nonlinear Systems of Equations,'' held in July 1988 at Colorado State University. The aim of the book is to give a wide-ranging survey of essentially all of the methods which comprise currently active areas of research in the computational solution of systems of nonlinear equations. A number of ``entry-level'' survey papers were solicited, and a series of test problems has been collected in an appendix. Most of the articles are accessible to students who have had a course in numerical analysis.

Dynamical Systems Method for Solving Nonlinear Operator Equations

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Publisher : Elsevier
ISBN 13 : 9780080465562
Total Pages : 304 pages
Book Rating : 4.4/5 (655 download)

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Book Synopsis Dynamical Systems Method for Solving Nonlinear Operator Equations by : Alexander G. Ramm

Download or read book Dynamical Systems Method for Solving Nonlinear Operator Equations written by Alexander G. Ramm and published by Elsevier. This book was released on 2006-09-25 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamical Systems Method for Solving Nonlinear Operator Equations is of interest to graduate students in functional analysis, numerical analysis, and ill-posed and inverse problems especially. The book presents a general method for solving operator equations, especially nonlinear and ill-posed. It requires a fairly modest background and is essentially self-contained. All the results are proved in the book, and some of the background material is also included. The results presented are mostly obtained by the author. Contains a systematic development of a novel general method, the dynamical systems method, DSM for solving operator equations, especially nonlinear and ill-posed Self-contained, suitable for wide audience Can be used for various courses for graduate students and partly for undergraduates (especially for RUE classes)

Nonlinear Stochastic Operator Equations

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Publisher : Academic Press
ISBN 13 : 1483259099
Total Pages : 304 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Nonlinear Stochastic Operator Equations by : George Adomian

Download or read book Nonlinear Stochastic Operator Equations written by George Adomian and published by Academic Press. This book was released on 2014-05-09 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Stochastic Operator Equations deals with realistic solutions of the nonlinear stochastic equations arising from the modeling of frontier problems in many fields of science. This book also discusses a wide class of equations to provide modeling of problems concerning physics, engineering, operations research, systems analysis, biology, medicine. This text discusses operator equations and the decomposition method. This book also explains the limitations, restrictions and assumptions made in differential equations involving stochastic process coefficients (the stochastic operator case), which yield results very different from the needs of the actual physical problem. Real-world application of mathematics to actual physical problems, requires making a reasonable model that is both realistic and solvable. The decomposition approach or model is an approximation method to solve a wide range of problems. This book explains an inherent feature of real systems—known as nonlinear behavior—that occurs frequently in nuclear reactors, in physiological systems, or in cellular growth. This text also discusses stochastic operator equations with linear boundary conditions. This book is intended for students with a mathematics background, particularly senior undergraduate and graduate students of advanced mathematics, of the physical or engineering sciences.

Iterative Solution of Nonlinear Equations in Several Variables

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Publisher : Elsevier
ISBN 13 : 1483276724
Total Pages : 593 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Iterative Solution of Nonlinear Equations in Several Variables by : J. M. Ortega

Download or read book Iterative Solution of Nonlinear Equations in Several Variables written by J. M. Ortega and published by Elsevier. This book was released on 2014-05-10 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer Science and Applied Mathematics: Iterative Solution of Nonlinear Equations in Several Variables presents a survey of the basic theoretical results about nonlinear equations in n dimensions and analysis of the major iterative methods for their numerical solution. This book discusses the gradient mappings and minimization, contractions and the continuation property, and degree of a mapping. The general iterative and minimization methods, rates of convergence, and one-step stationary and multistep methods are also elaborated. This text likewise covers the contractions and nonlinear majorants, convergence under partial ordering, and convergence of minimization methods. This publication is a good reference for specialists and readers with an extensive functional analysis background.

Numerical Solution of Systems of Nonlinear Algebraic Equations

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Publisher : Elsevier
ISBN 13 : 1483269302
Total Pages : 430 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Numerical Solution of Systems of Nonlinear Algebraic Equations by : George D. Byrne

Download or read book Numerical Solution of Systems of Nonlinear Algebraic Equations written by George D. Byrne and published by Elsevier. This book was released on 2014-05-10 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Solution of Nonlinear Operator Equations by A-stable Integration Techniques

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Publisher :
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis The Solution of Nonlinear Operator Equations by A-stable Integration Techniques by : Paul Thomas Boggs

Download or read book The Solution of Nonlinear Operator Equations by A-stable Integration Techniques written by Paul Thomas Boggs and published by . This book was released on 1970 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Generalized Solutions of Operator Equations and Extreme Elements

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Publisher : Springer Science & Business Media
ISBN 13 : 1461406196
Total Pages : 219 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Generalized Solutions of Operator Equations and Extreme Elements by : D.A. Klyushin

Download or read book Generalized Solutions of Operator Equations and Extreme Elements written by D.A. Klyushin and published by Springer Science & Business Media. This book was released on 2011-10-05 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract models for many problems in science and engineering take the form of an operator equation. The resolution of these problems often requires determining the existence and uniqueness of solutions to these equations. "Generalized Solutions of Operator Equations and Extreme Elements" presents recently obtained results in the study of the generalized solutions of operator equations and extreme elements in linear topological spaces. The presented results offer new methods of identifying these solutions and studying their properties. These new methods involve the application of a priori estimations and a general topological approach to construct generalized solutions of linear and nonlinear operator equations. The monograph is intended for mathematicians, graduate students and researchers studying functional analysis, operator theory, and the theory of optimal control.

Methods for Solution of Nonlinear Operator Equations

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Publisher : Walter de Gruyter
ISBN 13 : 3110920298
Total Pages : 248 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Methods for Solution of Nonlinear Operator Equations by : V. P. Tanana

Download or read book Methods for Solution of Nonlinear Operator Equations written by V. P. Tanana and published by Walter de Gruyter. This book was released on 2013-02-18 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.

Linear Operator Equations

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Publisher :
ISBN 13 : 981446967X
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Linear Operator Equations by :

Download or read book Linear Operator Equations written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Operator Equations

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Publisher : World Scientific
ISBN 13 : 9812835652
Total Pages : 264 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Linear Operator Equations by : M. Thamban Nair

Download or read book Linear Operator Equations written by M. Thamban Nair and published by World Scientific. This book was released on 2009 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many problems in science and engineering have their mathematical formulation as an operator equation Tx=y, where T is a linear or nonlinear operator between certain function spaces. In practice, such equations are solved approximately using numerical methods, as their exact solution may not often be possible or may not be worth looking for due to physical constraints. In such situations, it is desirable to know how the so-called approximate solution approximates the exact solution, and what the error involved in such procedures would be. This book is concerned with the investigation of the above theoretical issues related to approximately solving linear operator equations. The main tools used for this purpose are basic results from functional analysis and some rudimentary ideas from numerical analysis. To make this book more accessible to readers, no in-depth knowledge on these disciplines is assumed for reading this book.

Numerical Solution of Nonlinear Elliptic Problems Via Preconditioning Operators

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Publisher : Nova Publishers
ISBN 13 : 9781590333761
Total Pages : 424 pages
Book Rating : 4.3/5 (337 download)

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Book Synopsis Numerical Solution of Nonlinear Elliptic Problems Via Preconditioning Operators by : István Faragó

Download or read book Numerical Solution of Nonlinear Elliptic Problems Via Preconditioning Operators written by István Faragó and published by Nova Publishers. This book was released on 2002 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Solution of Nonlinear Elliptic Problems Via Preconditioning Operators - Theory & Applications

Dynamical Systems Method and Applications

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Publisher : John Wiley & Sons
ISBN 13 : 111819960X
Total Pages : 522 pages
Book Rating : 4.1/5 (181 download)

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Book Synopsis Dynamical Systems Method and Applications by : Alexander G. Ramm

Download or read book Dynamical Systems Method and Applications written by Alexander G. Ramm and published by John Wiley & Sons. This book was released on 2013-06-07 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Demonstrates the application of DSM to solve a broad range of operator equations The dynamical systems method (DSM) is a powerful computational method for solving operator equations. With this book as their guide, readers will master the application of DSM to solve a variety of linear and nonlinear problems as well as ill-posed and well-posed problems. The authors offer a clear, step-by-step, systematic development of DSM that enables readers to grasp the method's underlying logic and its numerous applications. Dynamical Systems Method and Applications begins with a general introduction and then sets forth the scope of DSM in Part One. Part Two introduces the discrepancy principle, and Part Three offers examples of numerical applications of DSM to solve a broad range of problems in science and engineering. Additional featured topics include: General nonlinear operator equations Operators satisfying a spectral assumption Newton-type methods without inversion of the derivative Numerical problems arising in applications Stable numerical differentiation Stable solution to ill-conditioned linear algebraic systems Throughout the chapters, the authors employ the use of figures and tables to help readers grasp and apply new concepts. Numerical examples offer original theoretical results based on the solution of practical problems involving ill-conditioned linear algebraic systems, and stable differentiation of noisy data. Written by internationally recognized authorities on the topic, Dynamical Systems Method and Applications is an excellent book for courses on numerical analysis, dynamical systems, operator theory, and applied mathematics at the graduate level. The book also serves as a valuable resource for professionals in the fields of mathematics, physics, and engineering.

Approximate Solution Of Operator Equations With Applications

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Publisher : World Scientific Publishing Company
ISBN 13 : 9813106549
Total Pages : 528 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Approximate Solution Of Operator Equations With Applications by : Argyros Ioannis K

Download or read book Approximate Solution Of Operator Equations With Applications written by Argyros Ioannis K and published by World Scientific Publishing Company. This book was released on 2005-08-26 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Researchers are faced with the problem of solving a variety of equations in the course of their work in engineering, economics, physics, and the computational sciences. This book focuses on a new and improved local-semilocal and monotone convergence analysis of efficient numerical methods for computing approximate solutions of such equations, under weaker hypotheses than in other works. This particular feature is the main strength of the book when compared with others already in the literature.The explanations and applications in the book are detailed enough to capture the interest of curious readers and complete enough to provide the necessary background material to go further into the subject.

Computational Solution of Nonlinear Systems of Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821811313
Total Pages : 762 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Computational Solution of Nonlinear Systems of Equations by : Eugene L. Allgower

Download or read book Computational Solution of Nonlinear Systems of Equations written by Eugene L. Allgower and published by American Mathematical Soc.. This book was released on 1990 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear equations arise in essentially every branch of modern science, engineering, and mathematics. However, in only a very few special cases is it possible to obtain useful solutions to nonlinear equations via analytical calculations. As a result, many scientists resort to computational methods. This book contains the proceedings of the Joint AMS-SIAM Summer Seminar, ``Computational Solution of Nonlinear Systems of Equations,'' held in July 1988 at Colorado State University. The aim of the book is to give a wide-ranging survey of essentially all of the methods which comprise currently active areas of research in the computational solution of systems of nonlinear equations. A number of ``entry-level'' survey papers were solicited, and a series of test problems has been collected in an appendix. Most of the articles are accessible to students who have had a course in numerical analysis.

Numerical Solution of Integral Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 1489925937
Total Pages : 428 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Numerical Solution of Integral Equations by : Michael A. Golberg

Download or read book Numerical Solution of Integral Equations written by Michael A. Golberg and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1979, I edited Volume 18 in this series: Solution Methods for Integral Equations: Theory and Applications. Since that time, there has been an explosive growth in all aspects of the numerical solution of integral equations. By my estimate over 2000 papers on this subject have been published in the last decade, and more than 60 books on theory and applications have appeared. In particular, as can be seen in many of the chapters in this book, integral equation techniques are playing an increas ingly important role in the solution of many scientific and engineering problems. For instance, the boundary element method discussed by Atkinson in Chapter 1 is becoming an equal partner with finite element and finite difference techniques for solving many types of partial differential equations. Obviously, in one volume it would be impossible to present a complete picture of what has taken place in this area during the past ten years. Consequently, we have chosen a number of subjects in which significant advances have been made that we feel have not been covered in depth in other books. For instance, ten years ago the theory of the numerical solution of Cauchy singular equations was in its infancy. Today, as shown by Golberg and Elliott in Chapters 5 and 6, the theory of polynomial approximations is essentially complete, although many details of practical implementation remain to be worked out.

Approximate Solutions of Operator Equations

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Publisher : World Scientific
ISBN 13 : 9789810230647
Total Pages : 368 pages
Book Rating : 4.2/5 (36 download)

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Book Synopsis Approximate Solutions of Operator Equations by : Mingjun Chen

Download or read book Approximate Solutions of Operator Equations written by Mingjun Chen and published by World Scientific. This book was released on 1997 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an elementary and self-contained introduction to many fundamental issues concerning approximate solutions of operator equations formulated in an abstract Banach space setting, including important topics such as solvability, computational schemes, convergence, stability and error estimates. The operator equations under investigation include various linear and nonlinear types of ordinary and partial differential equations, integral equations, and abstract evolution equations, which are frequently involved in applied mathematics and engineering applications.Each chapter contains well-selected examples and exercises, for the purposes of demonstrating the fundamental theories and methods developed in the text and familiarizing the reader with functional analysis techniques useful for numerical solutions of various operator equations.