Numerical Analysis by R. Teman.

This book is an introduction to one of the important as­ pects of Numerical Analysis, namely the approximate solution of functional equations. We intend to show, by a few brief examples, the different theoretical and practical problems related to the numerical approximation of boundary value problem...

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Bibliographic Details
Main Author: Teman, R. (Author,
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 1973.
Edition:1st ed. 1973.
Series:Springer eBook Collection.
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Approximate Solution of Functional Equations: General Remarks
  • I.: Approximate Solution of Linear Elliptic Equations
  • 1. The Projection Theorem
  • 2. The Method of Galerkin
  • 3. The Approximation of Normed Spaces
  • 4. Approximation of Linear Variational Problems
  • 5. A Method for Computation of the Error
  • 6. The Method of Fractionary Steps
  • II: Applications
  • 7. Spaces of Functions Associated with an Open Set in Rn
  • 8. Approximation of Some Function Spaces by Finite Differences (I)
  • 9. Approximation of Some Function Spaces by Finite Differences (II)
  • 10. Approximation of Some Function Spaces by Finite Element Methods
  • 11. Example I: The Dirichlet Problem
  • 12. Example II: The Neumann Problem
  • III: A Nonlinear Elliptic Equation
  • 13. The Exact Problem
  • 14. Approximate Problems
  • Appendix: Topological Vector Spaces.