Theoretical numerical analysis : a functional analysis framework

Bibliographic Information

Theoretical numerical analysis : a functional analysis framework

Kendall Atkinson, Weimin Han

(Texts in applied mathematics, 39)

Springer, c2005

2nd ed.

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Note

Includes bibliographical references and index

Description and Table of Contents

Description

This textbook covers basic results of functional analysis and also some additional topics which are needed in theoretical numerical analysis. For this second edition, a new chapter on Fourier analysis and wavelets and over 140 new exercises have been added, almost doubling the exercise amount from the last edition. Many sections from the first edition have been revised. Some of the other topics covered in this book are functional analysis and approximation theory, nonlinear analysis, Sobolev spaces, elliptic boundary value problems and variational inequalities.

Table of Contents

Preface to the Second Edition.- Preface to the First Edition.- Linear Spaces.- Linear Operators on Normed Spaces.- Approximation Theory.- Fourier Analysis and Wavelets.- Nonlinear Equations and Their Solution by Iteration.- Finite Difference Method.- Sobolev Spaces.- Variational Formulations of Elliptic Boundary Value Problems.- The Galerkin Method and Its Variants.- Finite Element Analysis.- Elliptic Variational Inequalities and Their Numerical Approximations.- Numerical Solution of Fredholm Integral Equations of the Second Kind.- Boundary Integral Equations.- References.- Index.

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Details

  • NCID
    BA73320163
  • ISBN
    • 0387258876
  • LCCN
    2005925512
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    New York
  • Pages/Volumes
    xviii, 576 p.
  • Size
    25 cm
  • Parent Bibliography ID
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