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We study the approximation of functions defined on different domains by trigonometric and transformed trigonometric functions. We investigate which of the many results known from the approximation theory on the d-dimensional torus can be transfered to other domains. We define invertible parameterized transformations and prove conditions under which functions from a weighted Sobolev space can be transformed into functions defined on the torus, that still have a certain degree of Sobolev smoothness and for which we know worst-case upper error bounds. By reverting the initial change of variables we transfer the fast algorithms based on rank-1 lattices used to approximate functions on the torus efficiently over to other domains and obtain adapted FFT algorithms.
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Efficient multivariate approximation with transformed rank-1 lattices
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -We study the approximation of functions defined on different domains by trigonometric and transformed trigonometric functions. We investigate which of the many results known from the approximation theory on the d-dimensional torus can be transfered to other domains. We define invertible parameterized transformations and prove conditions under which functions from a weighted Sobolev space can be transformed into functions defined on the torus, that still have a certain degree of Sobolev smoothness and for which we know worst-case upper error bounds. By reverting the initial change of variables we transfer the fast algorithms based on rank-1 lattices used to approximate functions on the torus efficiently over to other domains and obtain adapted FFT algorithms. 104 pp. Englisch. Codice articolo 9783961001613
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Efficient multivariate approximation with transformed rank-1 lattices
Print on DemandDa: AHA-BUCH GmbH, Einbeck, Germania
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Taschenbuch. Condizione: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - We study the approximation of functions defined on different domains by trigonometric and transformed trigonometric functions. We investigate which of the many results known from the approximation theory on the d-dimensional torus can be transfered to other domains. We define invertible parameterized transformations and prove conditions under which functions from a weighted Sobolev space can be transformed into functions defined on the torus, that still have a certain degree of Sobolev smoothness and for which we know worst-case upper error bounds. By reverting the initial change of variables we transfer the fast algorithms based on rank-1 lattices used to approximate functions on the torus efficiently over to other domains and obtain adapted FFT algorithms. Codice articolo 9783961001613
Quantità: 2 disponibili
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Efficient multivariate approximation with transformed rank-1 lattices
Da: preigu, Osnabrück, Germania
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Taschenbuch. Condizione: Neu. Efficient multivariate approximation with transformed rank-1 lattices | Robert Nasdala | Taschenbuch | Englisch | Universitätsverlag Chemnitz | EAN 9783961001613 | Verantwortliche Person für die EU: Universitätsverlag Chemnitz, Straße der Nationen 33, 09111 Chemnitz, uni-verlag[at]bibliothek[dot]tu-chemnitz[dot]de | Anbieter: preigu. Codice articolo 121615846
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