Functional Analysis and Approximation Theory in Numerical Analysis
β Scribed by R. S. Varga
- Book ID
- 127405036
- Publisher
- Society for Industrial Mathematics
- Year
- 1987
- Tongue
- English
- Weight
- 703 KB
- Series
- CBMS-NSF Regional Conference Series in Applied Mathematics
- Edition
- SIAM
- Category
- Library
- ISBN
- 0898710030
No coin nor oath required. For personal study only.
β¦ Synopsis
Surveys the enormous literature on numerical approximation of solutions of elliptic boundary problems by means of variational and finite element methods, requiring almost constant application of results and techniques from functional analysis and approximation theory to the field of numerical analysis.
π SIMILAR VOLUMES
We consider the role of subclasses of the recursive functions in proving nonexistence of certain numerical methods. In particular, an initial value problem is treated.
Results and problems in the modern theory of best approximation, in which the methods of functional analysis are applied in a consequent manner. This modern theory constitutes both a unified foundation for the classical theory of best approximation and a powerful tool for obtaining new results.