A note on the construction of <em>L</em>-fold sparse tensor product spaces

Griebel, Michael; Harbrecht, Helmut

dc.contributor.author	Griebel, Michael
dc.contributor.author	Harbrecht, Helmut
dc.date.accessioned	2024-08-23T07:24:35Z
dc.date.available	2024-08-23T07:24:35Z
dc.date.issued	04.2012
dc.identifier.uri	https://hdl.handle.net/20.500.11811/11935
dc.description.abstract	In the present paper, we consider the construction of general sparse tensor product spaces in arbitrary space dimensions when the single subdomains are of different dimensionality and the associated ansatz spaces possess different approximation properties. Our theory extends the results from [10] for the construction of two-fold sparse tensor product space to arbitrary L-fold sparse tensor product spaces.	en
dc.format.extent	20
dc.language.iso	eng
dc.relation.ispartofseries	INS Preprints ; 1205
dc.rights	In Copyright
dc.rights.uri	http://rightsstatements.org/vocab/InC/1.0/
dc.subject	High-dimensional problems
dc.subject	Sparse grids
dc.subject	Sparse tensor product spaces
dc.subject	Tensor product domains of different dimensions
dc.subject	Sparse tensor product of ansatz spaces with different approximation power
dc.subject	Optimal construction of sparse grids
dc.subject	Rate of approximation
dc.subject.ddc	510 Mathematik
dc.subject.ddc	518 Numerische Analysis
dc.title	A note on the construction of L-fold sparse tensor product spaces
dc.type	Preprint
dc.publisher.name	Institut für Numerische Simulation (INS)
dc.publisher.location	Bonn
dc.rights.accessRights	openAccess
dc.relation.doi	https://doi.org/10.1007/s00365-012-9178-7
ulbbn.pubtype	Zweitveröffentlichung
dcterms.bibliographicCitation.url	https://ins.uni-bonn.de/publication/preprints