Hausdorff Center for Mathematics

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20072024

most citedOn admissibility criteria for weak solutions of the Euler equations

526 citations

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math.NA2014

Sampling on energy-norm based sparse grids for the optimal recovery of Sobolev type functions in $H^{γ}$

Glenn Byrenheid, Dinh Dũng, Winfried Sickel +1

We investigate the rate of convergence of linear sampling numbers of the embedding $H^{α, β} (T^{d}) ↪ H^{γ} (T^{d})$ . Here $α$ governs the mixed smoothness…

math.NA2014★ 1 cited

On low-rank approximability of solutions to high-dimensional operator equations and eigenvalue problems

Daniel Kressner, André Uschmajew

Low-rank tensor approximation techniques attempt to mitigate the overwhelming complexity of linear algebra tasks arising from high-dimensional applications. In this work, we study…

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

On low-rank approximability of solutions to high-dimensional operator equations and eigenvalue problems

Sampling on energy-norm based sparse grids for the optimal recovery of Sobolev type functions in $H^{γ}$