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Dynamical Systems Method for Solving Nonlinear Operator Equations

Dynamical Systems Method for Solving Nonlinear Operator Equations
A Book

by Alexander G. Ramm

  • Publisher : Elsevier
  • Release : 2006-09-25
  • Pages : 304
  • ISBN : 9780080465562
  • Language : En, Es, Fr & De
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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)

Dynamical Systems Method and Applications

Dynamical Systems Method and Applications
Theoretical Developments and Numerical Examples

by Alexander G. Ramm,Nguyen S. Hoang

  • Publisher : John Wiley & Sons
  • Release : 2013-06-07
  • Pages : 576
  • ISBN : 111819960X
  • Language : En, Es, Fr & De
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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.

Spectral Theory and Nonlinear Analysis with Applications to Spatial Ecology

Spectral Theory and Nonlinear Analysis with Applications to Spatial Ecology
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2021
  • Pages : 329
  • ISBN : 9814479268
  • Language : En, Es, Fr & De
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Information Computing and Applications

Information Computing and Applications
Second International Conference, ICICA 2011, Qinhuangdao, China, October 28-31, 2011. Proceedings

by Chunfeng Liu,Jincai Chang,Aimin Yang

  • Publisher : Springer Science & Business Media
  • Release : 2011-12-05
  • Pages : 716
  • ISBN : 3642275028
  • Language : En, Es, Fr & De
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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 computing, multimedia networking and computing, parallel and distributed computing.

Methods of Hilbert Spaces in the Theory of Nonlinear Dynamical Systems

Methods of Hilbert Spaces in the Theory of Nonlinear Dynamical Systems
A Book

by Krzysztof Kowalski

  • Publisher : World Scientific
  • Release : 1994
  • Pages : 122
  • ISBN : 9789810217532
  • Language : En, Es, Fr & De
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This book is the first monograph on a new powerful method discovered by the author for the study of nonlinear dynamical systems relying on reduction of nonlinear differential equations to the linear abstract Schr”dinger-like equation in Hilbert space. Besides the possibility of unification of many apparently completely different techniques, the ?quantal? Hilbert space formalism introduced enables new original methods to be discovered for solving nonlinear problems arising in investigation of ordinary and partial differential equations as well as difference equations. Applications covered in the book include symmetries and first integrals, linearization transformations, B„cklund transformations, stroboscopic maps, functional equations involving the case of Feigenbaum-Cvitanovic renormalization equations and chaos.

Mathematical Reviews

Mathematical Reviews
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2006
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Annales Polonici Mathematici

Annales Polonici Mathematici
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2009
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Nonlinear Dynamical Systems in Engineering

Nonlinear Dynamical Systems in Engineering
Some Approximate Approaches

by Vasile Marinca,Nicolae Herisanu

  • Publisher : Springer Science & Business Media
  • Release : 2012-01-05
  • Pages : 396
  • ISBN : 364222735X
  • Language : En, Es, Fr & De
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This book presents and extend different known methods to solve different types of strong nonlinearities encountered by engineering systems. A better knowledge of the classical methods presented in the first part lead to a better choice of the so-called “base functions”. These are absolutely necessary to obtain the auxiliary functions involved in the optimal approaches which are presented in the second part. Every chapter introduces a distinct approximate method applicable to nonlinear dynamical systems. Each approximate analytical approach is accompanied by representative examples related to nonlinear dynamical systems from to various fields of engineering.

Seventh Conference on Probability and Statistics in Atmospheric Sciences of the American Meteorological Society, November 2-6, 1981, Monterey, California

Seventh Conference on Probability and Statistics in Atmospheric Sciences of the American Meteorological Society, November 2-6, 1981, Monterey, California
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1981
  • Pages : 235
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Numerical Mathematics

Numerical Mathematics
A Journal of Chinese Universities, English Series

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2007
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Dynamic Impulse Systems

Dynamic Impulse Systems
Theory and Applications

by S.T. Zavalishchin,A.N. Sesekin

  • Publisher : Springer Science & Business Media
  • Release : 2013-03-14
  • Pages : 260
  • ISBN : 9401588937
  • Language : En, Es, Fr & De
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A number of optimization problems of the mechanics of space flight and the motion of walking robots and manipulators, and of quantum physics, eco momics and biology, have an irregular structure: classical variational proce dures do not formally make it possible to find optimal controls that, as we explain, have an impulse character. This and other well-known facts lead to the necessity for constructing dynamical models using the concept of a gener alized function (Schwartz distribution). The problem ofthe systematization of such models is very important. In particular, the problem of the construction of the general form of linear and nonlinear operator equations in distributions is timely. Another problem is related to the proper determination of solutions of equations that have nonlinear operations over generalized functions in their description. It is well-known that "the value of a distribution at a point" has no meaning. As a result the problem to construct the concept of stability for generalized processes arises. Finally, optimization problems for dynamic systems in distributions need finding optimality conditions. This book contains results that we have obtained in the above-mentioned directions. The aim of the book is to provide for electrical and mechanical engineers or mathematicians working in applications, a general and systematic treat ment of dynamic systems based on up-to-date mathematical methods and to demonstrate the power of these methods in solving dynamics of systems and applied control problems.

Control and Dynamic Systems

Control and Dynamic Systems
Advances in Theory and Application

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1967
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Integral Equations, Boundary Value Problems and Related Problems

Integral Equations, Boundary Value Problems and Related Problems
Dedicated to Professor Chien-Ke Lu on the Occasion of His 90th Birthday : Yinchuan, Ningxia, China, 19-23 August 2012

by Xing Li

  • Publisher : World Scientific
  • Release : 2013
  • Pages : 285
  • ISBN : 9814452882
  • Language : En, Es, Fr & De
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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.

Random Fields Estimation

Random Fields Estimation
A Book

by Alexander G. Ramm

  • Publisher : World Scientific
  • Release : 2005
  • Pages : 373
  • ISBN : 9812565361
  • Language : En, Es, Fr & De
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This book contains a novel theory of random fields estimation of Wiener type, developed originally by the author and presented here. No assumption about the Gaussian or Markovian nature of the fields are made. The theory, constructed entirely within the framework of covariance theory, is based on a detailed analytical study of a new class of multidimensional integral equations basic in estimation theory.This book is suitable for graduate courses in random fields estimation. It can also be used in courses in functional analysis, numerical analysis, integral equations, and scattering theory.

Differential Operator Equations

Differential Operator Equations
A Method of Model Operators in the Theory of Boundary Value Problems

by Alekseĭ Alekseevich Dezin

  • Publisher : Unknown Publisher
  • Release : 2000
  • Pages : 161
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Analysis and Design of Dynamic Systems

Analysis and Design of Dynamic Systems
A Book

by Ira Cochin

  • Publisher : HarperCollins Publishers
  • Release : 1980
  • Pages : 796
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Nonlinear stochastic operator equations

Nonlinear stochastic operator equations
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1986
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Nonlinear Stochastic Operator Equations

Nonlinear Stochastic Operator Equations
A Book

by G. Adomian

  • Publisher : Unknown Publisher
  • Release : 1986
  • Pages : 287
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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International Aerospace Abstracts

International Aerospace Abstracts
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1994
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Proceedings of the Symposium Hybrid Computation in Dynamic Systems Design

Proceedings of the Symposium Hybrid Computation in Dynamic Systems Design
Rome, Italy, November 11-14, 1974

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1974
  • Pages : 385
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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