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The Approximation of Normed Spaces

In: Numerical Analysis

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  • Roger Temam

Abstract

In the following sections we are going to consider the approximation of the solution u of Equation (1.2) by elements of a space different from V. This situation occurs in particular when (1.2) is a partial differential equation, that we discretize: V is then a certain function space, and we approximate u by functions that do not belong to V, for example, step functions, or piecewise polynomial functions.

Suggested Citation

  • Roger Temam, 1973. "The Approximation of Normed Spaces," Springer Books, in: Numerical Analysis, chapter 0, pages 18-30, Springer.
    • Handle: RePEc:spr:sprchp:978-94-010-2565-2_4
    DOI: 10.1007/978-94-010-2565-2_4
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