Theoretical Numerical Analysis A Functional Analysis Framework /
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...
| Main Authors: | , |
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| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY :
Springer New York,
2009.
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| Edition: | 3. |
| Series: | Texts in Applied Mathematics,
39 |
| Subjects: | |
| Online Access: | Full Text via HEAL-Link |
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.
