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Author: D.A. Klyushin
Publisher: Springer Science & Business Media
ISBN: 1461406196
Category : Mathematics
Languages : en
Pages : 219
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Book Description
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.
Author: D.A. Klyushin
Publisher: Springer Science & Business Media
ISBN: 1461406196
Category : Mathematics
Languages : en
Pages : 219
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Book Description
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.
Author: Mingjun Chen
Publisher: World Scientific
ISBN: 981449769X
Category : Mathematics
Languages : en
Pages : 360
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Book Description
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. Contents:IntroductionOperator Equations and Their Approximate Solutions (I): Compact Linear OperatorsOperator Equations and Their Approximate solutions (II): Other Linear OperatorsTopological Degrees and Fixed Point EquationsNonlinear Monotone Operator Equations and Their Approximate SolutionsOperator Evolution Equations and Their Projective Approximate Solutions Readership: Applied mathematicians, mathematical physicists, numerical analysts and electrical & mechanical engineers. keywords:Operator Evolution Equation;Nonlinear Operator Equation;Monotone Operator;Projective Approximation;Least-Squares Algorithm;Topological Degree;Fixed Point Theorem
Author: Ronghua Li
Publisher: CRC Press
ISBN: 1482270218
Category : Mathematics
Languages : en
Pages : 472
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Book Description
This text presents a comprehensive mathematical theory for elliptic, parabolic, and hyperbolic differential equations. It compares finite element and finite difference methods and illustrates applications of generalized difference methods to elastic bodies, electromagnetic fields, underground water pollution, and coupled sound-heat flows.
Author: Nikolaĭ Stepanovich Kurpelʹ
Publisher: American Mathematical Soc.
ISBN: 9780821815960
Category : Mathematics
Languages : en
Pages : 204
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Book Description
Author: Ioannis K. Argyros
Publisher: World Scientific
ISBN: 9812563652
Category : Mathematics
Languages : en
Pages : 530
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Book Description
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.
Author: Argyros Ioannis K
Publisher: World Scientific Publishing Company
ISBN: 9813106549
Category : Mathematics
Languages : en
Pages : 528
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Book Description
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.
Author: Louis B. Rall
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 254
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Book Description
Author: Mark Aleksandrovich Krasnoselʹskiĭ
Publisher:
ISBN:
Category :
Languages : en
Pages : 484
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Book Description
Author: Vitalij P. Tanana
Publisher: VSP
ISBN: 9789067642378
Category : Mathematics
Languages : en
Pages : 236
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Book Description
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.
Author: Alston Scott Householder
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 552
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Book Description
