
Theoretical Numerical Analysis
A Functional Analysis Framework
Springer (Publisher)
Published on 9. March 2001
Book
Hardback
XVI, 451 pages
978-0-387-95142-3 (ISBN)
Article exhausted; check for reprint
Description
This book gives an introduction to functional analysis in a way that is tailored to fit the needs of the researcher or student. The book explains the basic results of functional analysis as well as relevant topics in numerical analysis. Applications of functional analysis are given by considering numerical methods for solving partial differential equations and integral equations. The material is especially useful for researchers and students who wish to work in theoretical numerical analysis and seek a background in the "tools of the trade" covered in this book.
More details
Series
Language
English
Place of publication
NY
United States
Target group
College/higher education
Professional and scholarly
Illustrations
7
26 s/w Abbildungen, 7 s/w Tabellen
25 figures, references, index
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Thickness: 26 mm
Weight
836 gr
ISBN-13
978-0-387-95142-3 (9780387951423)
DOI
10.1007/978-0-387-21526-6
Schweitzer Classification
Other editions
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10/2020
3rd Edition
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Book
06/2007
2nd Edition
Springer
€71.64
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Additional editions

E-Book
04/2006
2nd Edition
Springer
€82.38
Available for download
Content
Preface * 1 Linear Spaces * 2 Linear Operators on Normed Spaces * 3 Approximation Theory * 4 Nonlinear Equations and Their Solution by Iteration * 5 Finite Difference Method * 6 Sobolev Spaces * 7 Variational Formulations of Elliptic Boundary Value Problems * 8 The Galerkin Method and Its Variants * 9 Finite Element Analysis * 10 Elliptic Variational Inequalities and Their Numerical Approximations * 11 Numerical Solution of Fredholm Integral Equations of the Second Kind * 12 Boundary Integral Equations * References * Index