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020 _a9783319045375
_9978-3-319-04537-5
024 7 _a10.1007/978-3-319-04537-5
_2doi
035 _ato000542732
040 _aSpringer
_cSpringer
_dRU-ToGU
050 4 _aQA71-90
072 7 _aPBKS
_2bicssc
072 7 _aMAT006000
_2bisacsh
082 0 4 _a518
_223
082 0 4 _a518
_223
245 1 0 _aSparse Grids and Applications - Munich 2012
_helectronic resource
_cedited by Jochen Garcke, Dirk Pflüger.
260 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2014.
300 _aVIII, 344 p. 106 illus., 72 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLecture Notes in Computational Science and Engineering,
_x1439-7358 ;
_v97
505 0 _aGerrit Buse, Dirk Pfl¨uger, and Riko Jacob: Efficient Pseudorecursive Evaluation Schemes for Non-Adaptive Sparse Grids -- Oliver G. Ernst and Bj¨orn Sprungk: Stochastic Collocation for Elliptic PDEs with Random Data – The Lognormal Case -- Michael Griebel and Helmut Harbrecht: On the Convergence of the Combination Technique -- Michael Griebel and Jan Hamaekers: Fast Discrete Fourier Transform on Generalized Sparse Grids -- Michael Griebel and Jens Oettershagen: Dimension-adaptive Sparse Grid Quadrature for Integrals with Boundary Singularities -- Max Gunzburger, Clayton G. Webster, and Guannan Zhang: An Adaptive Wavelet Stochastic Collocation Method for Irregular Solutions of Partial Differential Equations with Random Input Data -- Brendan Harding and Markus Hegland: Robust Solutions to PDEs with Multiple Grids -- Riko Jacob: Efficient Regular Sparse Grid Hierarchization by a Dynamic Memory Layout -- Valeriy Khakhutskyy and Dirk Pflüger: Alternating Direction Method of Multipliers for Hierarchical Basis Approximators -- Christoph Kowitz and Markus Hegland: An Opticom Method for Computing Eigenpairs -- Benjamin Peherstorfer, Fabian Franzelin, Dirk Pfl¨uger, and Hans-Joachim Bungartz: Classification with Probability Density Estimation on Sparse Grids -- Bettina Schieche and Jens Lang: Adjoint Error Estimation for Stochastic Collocation Methods -- Sebastian Ullmann and Jens Lang: POD-Galerkin Modeling and Sparse-Grid Collocation for a Natural Convection Problem with Stochastic Boundary Conditions -- Matthias Wong and Markus Hegland: Opticom and the Iterative Combination Technique for Convex Minimisation.  .
520 _aSparse grids have gained increasing interest in recent years for the numerical treatment of high-dimensional 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 the proceedings of the second workshop on sparse grids and applications, demonstrating once again the importance of this numerical discretization scheme. 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.
650 0 _amathematics.
_9566183
650 0 _aComputer science
_xMathematics.
_9304486
650 0 _aComputer Science.
_9155490
650 1 4 _aMathematics.
_9566184
650 2 4 _aComputational Mathematics and Numerical Analysis.
_9303505
650 2 4 _aComputational Science and Engineering.
_9304944
700 1 _aGarcke, Jochen.
_eeditor.
_9448959
700 1 _aPflüger, Dirk.
_eeditor.
_9448960
710 2 _aSpringerLink (Online service)
_9143950
773 0 _tSpringer eBooks
830 0 _aLecture Notes in Computational Science and Engineering,
_9316837
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-04537-5
912 _aZDB-2-SMA
999 _c400450