Publisher DOI: 10.1002/gamm.201800013
Title: Finite sections: A functional analytic perspective on approximation methods
Language: English
Authors: Lindner, Marko  
Seifert, Christian  
Issue Date: Sep-2018
Source: GAMM Mitteilungen 3 (41): e201800013- (2018-09)
Journal or Series Name: GAMM-Mitteilungen 
Abstract (english): We review approximation methods and their stability and applicability. We then focus on the finite section method and Galerkin methods and show that on separable Hilbert spaces either one can be interpreted as the other. In the end we demonstrate that well-known methods such as the finite element method and polynomial chaos expansion are particular examples of the finite section method; their applicability can therefore be studied via the latter.
ISSN: 0936-7195
Institute: Mathematik E-10 
Type: (wissenschaftlicher) Artikel
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