LEADER 04762nam 22006375 450 001 9910254070203321 005 20200630113550.0 010 $a3-319-28262-X 024 7 $a10.1007/978-3-319-28262-6 035 $a(CKB)3710000000616315 035 $a(EBL)4453018 035 $a(OCoLC)945095093 035 $a(SSID)ssj0001653878 035 $a(PQKBManifestationID)16433754 035 $a(PQKBTitleCode)TC0001653878 035 $a(PQKBWorkID)14982775 035 $a(PQKB)11684585 035 $a(DE-He213)978-3-319-28262-6 035 $a(MiAaPQ)EBC4453018 035 $a(PPN)192772457 035 $a(EXLCZ)993710000000616315 100 $a20160316d2016 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aSparse Grids and Applications - Stuttgart 2014 /$fedited by Jochen Garcke, Dirk Pflüger 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (348 p.) 225 1 $aLecture Notes in Computational Science and Engineering,$x1439-7358 ;$v109 300 $aDescription based upon print version of record. 311 $a3-319-28260-3 320 $aIncludes bibliographical references. 327 $aPeng Chen and Christoph Schwab: Adaptive Sparse Grid Model Order Reduction for Fast Bayesian Estimation and Inversion -- Fabian Franzelin and Dirk Pflüger: From Data to Uncertainty: An E_cient Integrated Data-Driven Sparse Grid Approach to Propagate Uncertainty -- Helmut Harbrecht and Michael Peters: Combination Technique Based Second Moment Analysis for Elliptic PDEs on Random Domains -- Brendan Harding: Adaptive sparse grids and extrapolation techniques -- Philipp Hupp and Riko Jacob: A Cache-Optimal Alternative to the Unidirectional Hierarchization Algorithm -- Valeriy Khakhutskyy and Markus Hegland: Spatially-Dimension- Adaptive Sparse Grids for Online Learning -- Katharina Kormann and Eric Sonnendrücker: Sparse Grids for the Vlasov?Poisson Equation -- Fabio Nobile, Lorenzo Tamellini, Francesco Tesei and Raul Tempone: An Adaptive Sparse Grid Algorithm for Elliptic PDEs with Lognormal Diffusion Coefficient -- David Pfander, Alexander Heinecke, and Dirk Pflüger: A New Subspace-Based Algorithm for E_cient Spatially Adaptive Sparse Grid Regression, Classification and Multi- Evaluation -- Sharif Rahman, Xuchun Ren, and Vaibhav Yadav: High-Dimensional Stochastic Design Optimization by Adaptive-Sparse Polynomial Dimensional Decomposition -- Jie Shen, Yingwei Wang, and Haijun Yu: E_cient Spectral-Element Methods for the Electronic Schrödinger Equation -- Hoang Tran, Clayton G. Webster, and Guannan Zhang: A Sparse Grid Method for Bayesian Uncertainty Quantification with Application to Large Eddy Simulation Turbulence Models -- Julian Valentin and Dirk Pflüger: Hierarchical Gradient-Based Optimization with BSplines on Sparse Grids. 330 $aThis volume of LNCSE is a collection of the papers from the proceedings of the third workshop on sparse grids and applications. Sparse grids are a popular approach for the numerical treatment of high-dimensional problems. Where classical numerical discretization schemes fail in more than three or four dimensions, sparse grids, in their different guises, are frequently the method of choice, be it spatially adaptive in the hierarchical basis or via the dimensionally adaptive combination technique. Demonstrating once again the importance of this numerical discretization scheme, the selected articles present recent advances on the numerical analysis of sparse grids as well as efficient data structures. The book also discusses a range of applications, including uncertainty quantification and plasma physics. 410 0$aLecture Notes in Computational Science and Engineering,$x1439-7358 ;$v109 606 $aComputer mathematics 606 $aAlgorithms 606 $aComputational Science and Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/M14026 606 $aAlgorithm Analysis and Problem Complexity$3https://scigraph.springernature.com/ontologies/product-market-codes/I16021 615 0$aComputer mathematics. 615 0$aAlgorithms. 615 14$aComputational Science and Engineering. 615 24$aAlgorithm Analysis and Problem Complexity. 676 $a510 702 $aGarcke$b Jochen$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aPflüger$b Dirk$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254070203321 996 $aSparse grids and applications - Stuttgart 2014$91523634 997 $aUNINA