MiS Preprint Repository
We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Data-sparse approximation of a class of operator-valued functions
Ivan P. Gavrilyuk, Wolfgang Hackbusch and Boris N. KhoromskijAbstract
In previous papers a method for the data-sparse approximation of the solution operators for elliptic, parabolic and hyperbolic PDEs has been developed based on the Dunford-Cauchy representation to the operator-valued functions of interest combined with the hierarchical matrix approximation of the operator resolvents. In the present paper, we discuss how these techniques can be applied to approximate a hierarchy of operator-valued functions generated by an elliptic operator.
- Received:
- 10.03.03
- Published:
- 10.03.03
- MSC Codes:
- 65F50, 65F30
- Keywords:
- data-sparse approximation, operator-valued functions