Dynamical Systems Method for Solving Nonlinear Operator Equations

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)

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  • Author : Alexander G. Ramm
  • Publisher : Elsevier
  • Pages : 304 pages
  • ISBN : 9780080465562
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKDynamical Systems Method for Solving Nonlinear Operator Equations

Dynamical Systems Method for Solving Nonlinear Operator Equations

Dynamical Systems Method for Solving Nonlinear Operator Equations
  • Author : Alexander G. Ramm
  • Publisher : Elsevier
  • Release : 25 September 2006
GET THIS BOOKDynamical Systems Method for Solving Nonlinear Operator Equations

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

Dynamical Systems Method and Applications

Dynamical Systems Method and Applications
  • Author : Alexander G. Ramm,Nguyen S. Hoang
  • Publisher : John Wiley & Sons
  • Release : 07 June 2013
GET THIS BOOKDynamical Systems Method and Applications

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

Dynamical Systems Method and Applications

Dynamical Systems Method and Applications
  • Author : Alexander G. Ramm,Nguyen S. Hoang
  • Publisher : John Wiley & Sons
  • Release : 20 December 2011
GET THIS BOOKDynamical Systems Method and Applications

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

Information Computing and Applications

Information Computing and Applications
  • Author : Chunfeng Liu,Jincai Chang,Aimin Yang
  • Publisher : Springer Science & Business Media
  • Release : 05 December 2011
GET THIS BOOKInformation Computing and Applications

The two-volume set, CCIS 243 and CCIS 244, constitutes the refereed proceedings of the Second International Conference on Information Computing and Applications, ICICA 2010, held in Qinhuangdao, China, in October 2011. The 191 papers presented in both volumes were carefully reviewed and selected from numerous submissions. They are organized in topical sections on computational statistics, social networking and computing, evolutionary computing and applications, information education and application, internet and web computing, scientific and engineering computing, system simulation computing, bio-inspired and DNA computing, internet and Web

Numerical Methods for Equations and its Applications

Numerical Methods for Equations and its Applications
  • Author : Ioannis K. Argyros,Yeol J. Cho,Saïd Hilout
  • Publisher : CRC Press
  • Release : 05 June 2012
GET THIS BOOKNumerical Methods for Equations and its Applications

This book introduces advanced numerical-functional analysis to beginning computer science researchers. The reader is assumed to have had basic courses in numerical analysis, computer programming, computational linear algebra, and an introduction to real, complex, and functional analysis. Although the book is of a theoretical nature, each chapter contains several new theoretical results and important applications in engineering, in dynamic economics systems, in input-output system, in the solution of nonlinear and linear differential equations, and optimization problem.

Handbook of Applications of Chaos Theory

Handbook of Applications of Chaos Theory
  • Author : Christos H. Skiadas,Charilaos Skiadas
  • Publisher : CRC Press
  • Release : 19 December 2017
GET THIS BOOKHandbook of Applications of Chaos Theory

In addition to explaining and modeling unexplored phenomena in nature and society, chaos uses vital parts of nonlinear dynamical systems theory and established chaotic theory to open new frontiers and fields of study. Handbook of Applications of Chaos Theory covers the main parts of chaos theory along with various applications to diverse areas. Expert contributors from around the world show how chaos theory is used to model unexplored cases and stimulate new applications. Accessible to scientists, engineers, and practitioners in

Inverse Problems

Inverse Problems
  • Author : Alexander G. Ramm
  • Publisher : Springer Science & Business Media
  • Release : 20 January 2006
GET THIS BOOKInverse Problems

Inverse Problems is a monograph which contains a self-contained presentation of the theory of several major inverse problems and the closely related results from the theory of ill-posed problems. The book is aimed at a large audience which include graduate students and researchers in mathematical, physical, and engineering sciences and in the area of numerical analysis.

Numerical Time-Dependent Partial Differential Equations for Scientists and Engineers

Numerical Time-Dependent Partial Differential Equations for Scientists and Engineers
  • Author : Moysey Brio,Gary M. Webb,Aramais R. Zakharian
  • Publisher : Academic Press
  • Release : 21 September 2010
GET THIS BOOKNumerical Time-Dependent Partial Differential Equations for Scientists and Engineers

It is the first text that in addition to standard convergence theory treats other necessary ingredients for successful numerical simulations of physical systems encountered by every practitioner. The book is aimed at users with interests ranging from application modeling to numerical analysis and scientific software development. It is strongly influenced by the authors research in in space physics, electrical and optical engineering, applied mathematics, numerical analysis and professional software development. The material is based on a year-long graduate course taught

Computational Methods in Nonlinear Analysis

Computational Methods in Nonlinear Analysis
  • Author : Ioannis K. Argyros,Sa‹d Hilout
  • Publisher : World Scientific
  • Release : 19 October 2021
GET THIS BOOKComputational Methods in Nonlinear Analysis

The field of computational sciences has seen a considerable development in mathematics, engineering sciences, and economic equilibrium theory. Researchers in this field are faced with the problem of solving a variety of equations or variational inequalities. We note that in computational sciences, the practice of numerical analysis for finding such solutions is essentially connected to variants of Newton's method. The efficient computational methods for finding the solutions of fixed point problems, nonlinear equations and variational inclusions are the first goal

Integral Equations, Boundary Value Problems and Related Problems

Integral Equations, Boundary Value Problems and Related Problems
  • Author : Xing Li
  • Publisher : World Scientific
  • Release : 19 October 2021
GET THIS BOOKIntegral Equations, Boundary Value Problems and Related Problems

In this volume, we report new results about various theories and methods of integral equation, boundary value problems for partial differential equations and functional equations, and integral operators including singular integral equations, applications of boundary value problems and integral equations to mechanics and physics, numerical methods of integral equations and boundary value problems, theories and methods for inverse problems of mathematical physics, Clifford analysis and related problems.

Computational Methods for Modeling of Nonlinear Systems by Anatoli Torokhti and Phil Howlett

Computational Methods for Modeling of Nonlinear Systems by Anatoli Torokhti and Phil Howlett
  • Author : Anatoli Torokhti,Phil Howlett
  • Publisher : Elsevier
  • Release : 11 April 2007
GET THIS BOOKComputational Methods for Modeling of Nonlinear Systems by Anatoli Torokhti and Phil Howlett

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods

Creating Materials with a Desired Refraction Coefficient

Creating Materials with a Desired Refraction Coefficient
  • Author : Alexander G. Ramm
  • Publisher : Morgan & Claypool Publishers
  • Release : 20 December 2017
GET THIS BOOKCreating Materials with a Desired Refraction Coefficient

Creating Materials with a Desired Refraction Coefficient' provides a recipe for creating materials with a desired refraction coefficient, and the many-body wave scattering problem for many small impedance bodies is solved. The physical assumptions make the multiple scattering effects essential. On the basis of this theory, a recipe for creating materials with a desired refraction coefficient is given. Technological problems are formulated which, when solved, make the theory practically applicable. The Importance of a problem of producing a small particle

Continuous Optimization

Continuous Optimization
  • Author : V. Jeyakumar,Alexander M. Rubinov
  • Publisher : Springer Science & Business Media
  • Release : 09 March 2006
GET THIS BOOKContinuous Optimization

Continuous optimization is the study of problems in which we wish to opti mize (either maximize or minimize) a continuous function (usually of several variables) often subject to a collection of restrictions on these variables. It has its foundation in the development of calculus by Newton and Leibniz in the 17*^ century. Nowadys, continuous optimization problems are widespread in the mathematical modelling of real world systems for a very broad range of applications. Solution methods for large multivariable constrained continuous optimiza

Stochastic Modelling in Process Technology

Stochastic Modelling in Process Technology
  • Author : Herold G. Dehling,Timo Gottschalk,Alex C. Hoffmann
  • Publisher : Elsevier
  • Release : 03 July 2007
GET THIS BOOKStochastic Modelling in Process Technology

There is an ever increasing need for modelling complex processes reliably. Computational modelling techniques, such as CFD and MD may be used as tools to study specific systems, but their emergence has not decreased the need for generic, analytical process models. Multiphase and multicomponent systems, and high-intensity processes displaying a highly complex behaviour are becoming omnipresent in the processing industry. This book discusses an elegant, but little-known technique for formulating process models in process technology: stochastic process modelling. The technique