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Approximate Solutions of Operator Equations (Series in Approximations and Decompositions, Vol 9) [Hardcover]

By Mingjun Chen (Author), Zhongying Chen (Author) & Guanrong Chen (Author)
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Item description for Approximate Solutions of Operator Equations (Series in Approximations and Decompositions, Vol 9) by Mingjun Chen, Zhongying Chen & Guanrong Chen...

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. Chapter 1 gives an overview of a general projective approximation scheme for operator equations, which covers several well-known approximation methods as special cases, such as the Galerkin-type methods, collocation-like methods, and least-squares-based methods. Chapter 2 discusses approximate solutions of compact linear operator equations, and Chapter 3 studies both classical and generalized solutions, as well as the projective approximations, for general linear operator equations. Chapter 4 gives an introduction to some important concepts, such as the topological degree and the fixed point principle, with applications to projective approximations of nonlinear operator equations. Linear and nonlinear monotone operator equations and their projective approximations are investigated in Chapter 5, while Chapter 6 addresses basic questions in discrete and semi-discrete projective approximations for two important classes of abstract operator evolution equations. 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.

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Item Specifications...

Studio: World Scientific Publishing Company
Pages   343
Est. Packaging Dimensions:   Length: 8.6" Width: 6.3" Height: 0.8"
Weight:   1.4 lbs.
Binding  Hardcover
Publisher   World Scientific Publishing Company
ISBN  9810230648  
ISBN13  9789810230647  

Availability  0 units.

More About Mingjun Chen, Zhongying Chen & Guanrong Chen

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Product Categories

1Books > Special Features > New & Used Textbooks
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Calculus
3Books > Subjects > Science > General
4Books > Subjects > Science > Mathematics > Applied > Differential Equations
5Books > Subjects > Science > Mathematics > General
6Books > Subjects > Science > Mathematics > Mathematical Analysis
7Books > Subjects > Science > Mathematics > Pure Mathematics > Algebra > Intermediate
8Books > Subjects > Science > Mathematics > Pure Mathematics > Calculus

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