Sampling on energy-norm based sparse grids for the optimal recovery of Sobolev type functions in Hγ

Author:

Byrenheid Glenn,Dũng Dinh,Sickel Winfried,Ullrich Tino

Funder

Hausdorff-Center for Mathematics

Bonn International Graduate School

Vietnam National Foundation for Science and Technology Development

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics,Numerical Analysis,Analysis

Reference37 articles.

1. A note on the complexity of solving Poisson’s equation for spaces of bounded mixed derivatives;Bungartz;J. Complexity,1999

2. Sparse grids;Bungartz;Acta Numer.,2004

3. G. Byrenheid, T. Ullrich, Optimal sampling recovery of mixed order Sobolev embeddings via discrete Littlewood–Paley type characterizations, Preprint, Bonn.

4. New explicit-in-dimension estimates for the cardinality of high-dimensional hyperbolic crosses and approximation of functions having mixed smoothness;Chernov;J. Complexity,2016

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