Approximate Solutions Of Operator Equations

Autor: Mingjun Chen, etc.

Limbă:

Legare: Copertă tare

Editura: World Scientific Publishing Co Pte Ltd

Disponibilitate: șansă 50%

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583.52 lei

This book offers an elementary and self-contained introduction to many fundamental issues concerning...

Informații despre carte

Autor

Mingjun Chen, etc.

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

1997

Pagini

360

EAN

9789810230647

ISBN

9810230648

Enbook ID

05065734

Editura

World Scientific Publishing Co Pte Ltd

Greutate

651

Dimensiuni

164 x 227 x 24

Descriere completă

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-square-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 approximators 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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