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Theoretical Numerical Analysis
Details
This book prepares graduate students for research in numerical analysis/computational mathematics by giving a mathematical framework embedded in functional analysis and focused on numerical analysis. This helps them to move rapidly into a research program.
Covers basic results of functional analysis and also some additional topics which are needed in theoretical numerical analysis Exercises at the end of most sections are included (419) Short discussion of the literature, including recommendations for additional reading is provided at the end of each chapter Includes supplementary material: sn.pub/extras
Inhalt
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.- Weak 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.- Multivariable Polynomial Approximations.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09781441931993
- Sprache Englisch
- Auflage Third Edition 2009
- Größe H235mm x B155mm x T35mm
- Jahr 2010
- EAN 9781441931993
- Format Kartonierter Einband
- ISBN 1441931996
- Veröffentlichung 06.12.2010
- Titel Theoretical Numerical Analysis
- Autor Weimin Han , Kendall Atkinson
- Untertitel A Functional Analysis Framework
- Gewicht 961g
- Herausgeber Springer New York
- Anzahl Seiten 644
- Lesemotiv Verstehen
- Genre Mathematik