LEADER 04554nam 22006135 450 001 9910299963203321 005 20251230060554.0 010 $a3-319-04537-7 024 7 $a10.1007/978-3-319-04537-5 035 $a(CKB)2560000000148973 035 $a(EBL)1697736 035 $a(OCoLC)881165933 035 $a(SSID)ssj0001205072 035 $a(PQKBManifestationID)11766546 035 $a(PQKBTitleCode)TC0001205072 035 $a(PQKBWorkID)11180285 035 $a(PQKB)11058167 035 $a(MiAaPQ)EBC1697736 035 $a(DE-He213)978-3-319-04537-5 035 $a(PPN)178320943 035 $a(EXLCZ)992560000000148973 100 $a20140411d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aSparse Grids and Applications - Munich 2012 /$fedited by Jochen Garcke, Dirk Pflüger 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (345 p.) 225 1 $aLecture Notes in Computational Science and Engineering,$x2197-7100 ;$v97 300 $aDescription based upon print version of record. 311 08$a3-319-04536-9 320 $aIncludes bibliographical references. 327 $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 CollocationMethods -- 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.  . 330 $aSparse grids have gained increasing interest in recent years for the numerical treatment of high-dimensional problems. Whereas classical numerical discretization schemes fail in more than three or four dimensions, sparse grids make it possible to overcome the ?curse? of dimensionality to some degree, extending the number of dimensions that can be dealt with. This volume of LNCSE collects the papers from the proceedings of the second workshop on sparse grids and applications, demonstrating once again the importance of this numerical discretization scheme. The selected articles present recent advances on the numerical analysis of sparse grids as well as efficient data structures, and the range of applications extends to uncertainty quantification settings and clustering, to name but a few examples. 410 0$aLecture Notes in Computational Science and Engineering,$x2197-7100 ;$v97 606 $aMathematics$xData processing 606 $aComputational Mathematics and Numerical Analysis 606 $aComputational Science and Engineering 615 0$aMathematics$xData processing. 615 14$aComputational Mathematics and Numerical Analysis. 615 24$aComputational Science and Engineering. 676 $a004.36 702 $aGarcke$b Jochen$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aPflu?ger$b Dirk$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299963203321 996 $aSparse grids and applications-Munich 2012$91410250 997 $aUNINA