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Titlebook: Sparse Grids and Applications - Munich 2012; Jochen Garcke,Dirk Pflüger Conference proceedings 2014 Springer International Publishing Swit

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1439-7358 al problems. Whereas classical numerical discretization schemes fail in more than three or four dimensions, sparse grids make it possible to overcome the “curse” of dimensionality to some degree, extending the number of dimensions that can be dealt with. This volume of LNCSE collects the papers from
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Conference proceedings 2014dvances on the numerical analysis of sparse grids as well as efficient data structures, and the range of applications extends to uncertainty quantification settings and clustering, to name but a few examples..
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1439-7358 eme. The selected articles present recent advances on the numerical analysis of sparse grids as well as efficient data structures, and the range of applications extends to uncertainty quantification settings and clustering, to name but a few examples..978-3-319-38153-4978-3-319-04537-5Series ISSN 1439-7358 Series E-ISSN 2197-7100
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Efficient Pseudorecursive Evaluation Schemes for Non-adaptive Sparse Grids,lly dimensionally adaptive grid types. Besides regular sparse grids our approach includes truncated grids, both with and without boundary grid points. Similar to the implicit data structures proposed in Feuersänger (Dünngitterverfahren für hochdimensionale elliptische partielle Differntialgleichunge
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On the Convergence of the Combination Technique,spaces may employ hierarchical bases, interpolets, wavelets or multilevel frames. Besides, an alternative approach is provided by the so-called combination technique. It properly combines the Galerkin solutions of the underlying problem on certain full (but small) tensor product spaces. So far, howe
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Fast Discrete Fourier Transform on Generalized Sparse Grids, for the approximation of functions in periodic Sobolev spaces of dominating mixed smoothness. In particular, we derive estimates for the error and the cost. We construct interpolants with a computational cost complexity which is substantially lower than for the standard full grid case. The associat
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