Theoretical Numerical Analysis A Functional Analysis Framework /

• Main Authors: Han, Weimin. (Author), Atkinson, Kendall E. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York, 2009.
• Edition: 3.
• Series: Texts in Applied Mathematics, 39
• Subjects: Mathematics.; Global analysis (Mathematics).; Numerical analysis.; Numerical Analysis.; Analysis.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4419-0458-4

This textbook prepares graduate students for research in numerical analysis/computational mathematics by giving to them a mathematical framework embedded in functional analysis and focused on numerical analysis. This helps the student to move rapidly into a research program. The text covers basic re...

Table of Contents:

• 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
• References
• Index.