Approximation by solutions of general boundary value problems for elliptic equations of arbitrary order
Uwe Hamann, Günther Wildenhain (1987)
Banach Center Publications
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Uwe Hamann, Günther Wildenhain (1987)
Banach Center Publications
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Albert Cohen (2009)
Bollettino dell'Unione Matematica Italiana
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We discuss the performances of greedy algorithms for two problems of numerical approximation. The first one is the best approximation of an arbitrary function by an N-terms linear combination of simple functions adaptively picked within a large dictionary. The second one is the approximation of an arbitrary function by a piecewise polynomial function on an optimally adapted triangulation of cardinality N. Performance is measured in terms of convergence rate with respect to the number...
Stynes, Martin, Kellogg, R. Bruce
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Martin Stynes, R. Bruce Kellogg (2002)
Mathematica Bohemica
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Kolmogorov -widths are an approximation theory concept that, for a given problem, yields information about the optimal rate of convergence attainable by any numerical method applied to that problem. We survey sharp bounds recently obtained for the -widths of certain singularly perturbed convection-diffusion and reaction-diffusion boundary value problems.
Ivan Hlaváček (1977)
Aplikace matematiky
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Hirokazu Oka, Naoki Tanaka (2000)
Studia Mathematica
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This paper is devoted to the approximation of abstract linear integrodifferential equations by finite difference equations. The result obtained here is applied to the problem of convergence of the backward Euler type discrete scheme.
Fernando Cobos, Oscar Domínguez, Antón Martínez (2014)
Colloquium Mathematicae
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We investigate compact operators between approximation spaces, paying special attention to the limit case. Applications are given to embeddings between Besov spaces.
J. Prasad (1972)
Publications de l'Institut Mathématique [Elektronische Ressource]
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