The Approximation of Normed Spaces

Roger Temam

Chapter Chapter 3 in Numerical Analysis, 1973, pp 18-30 from Springer

Abstract: 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.

Keywords: Normed Space; Space Versus; Restriction Operator; Separable Hilbert Space; Galerkin Approximation (search for similar items in EconPapers)
Date: 1973
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DOI: 10.1007/978-94-010-2565-2_4

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