Approximation of Mixed Order Sobolev Functions on the d-Torus: Asymptotics, Preasymptotics, and d-Dependence

Author:

Kühn Thomas,Sickel Winfried,Ullrich Tino

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,General Mathematics,Analysis

Reference37 articles.

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2. Bugrov, Y.S.: Approximation of a class of functions with a dominant mixed derivative. Mat. Sbornik 64(106), 410–418 (1964)

3. Bungartz, H.-J., Griebel, M.: A note on the complexity of solving Poisson’s equation for spaces of bounded mixed derivatives. J. Complex. 15, 167–199 (1999)

4. Bungartz, H.-J., Griebel, M.: Sparse grids. Acta Numer. 13, 147–269 (2004)

5. Byrenheid, G., Dinh Dũng, Sickel, W., Ullrich, T.: Sampling on energy-norm based sparse grids for the optimal recovery of Sobolev type functions in $${H}^{\gamma }$$ H γ . ArXiv e-prints (2014). arXiv:1408.3498 [math.NA]

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