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In this article, we present a cost-benefit analysis of the approximation in tensor products of Hilbert spaces of Sobolev-analytic type.
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E. Novak and H. Woźniakowski, Tractability of Multivariate Problems, Volume I: Linear Information, EMS Tracts in Mathematics, Vol. 6, Eur. Math. Soc. Publ. House, Zürich, 2008
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Convergence rates of best N-term Galerkin approximations for a class of elliptic sPDEs,
A. Cohen, R. DeVore, and C. Schwab, · 2010
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Analytic regularity and polynomial approximation of parametric and stochastic elliptic PDEs,
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D. Dũng,
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N-widths and ε \varepsilon -dimensions for high-dimensional approximations,
D. Dũng and T. Ullrich, · 2013
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High-dimensional adaptive sparse polynomial interpolation and applications to parametric PDEs,
A. Chkifa, A. Cohen, and C. Schwab, · 2014
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Hyperbolic cross approximation in infinite dimensions,
D. Dũng and M. Griebel, · 2016
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Sparse adaptive tensor Galerkin approximations of stochastic pde-constrained control problems
A. Kunoth and C. Schwab, · 2016
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