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检索条件"丛书名=Lecture Notes in Computational Science and Engineering 37"
864 条 记 录,以下是21-30 订阅
Analysis of Sparse Grid Multilevel Estimators for Multi-Dimensional Zakai Equations  1
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5th Workshop on Sparse Grids and Applications, SGA 2018
作者: Reisinger, Christoph Wang, Zhenru Mathematical Institute University of Oxford Oxford United Kingdom
In this article, we analyse the accuracy and computational complexity of estimators for expected functionals of the solution to multi-dimensional parabolic stochastic partial differential equations (SPDE) of Zakai-typ... 详细信息
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Efficiently Transforming from Values of a Function on a Sparse Grid to Basis Coefficients  1
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5th Workshop on Sparse Grids and Applications, SGA 2018
作者: Wodraszka, Robert Carrington, Tucker Chemistry Department Queen’s University KingstonON Canada
In many contexts it is necessary to determine coefficients of a basis expansion of a function f(x1, …, xD) from values of the function at points on a sparse grid. Knowing the coefficients, one has an interpolant or a... 详细信息
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Fast Sparse Grid Operations Using the Unidirectional Principle: A Generalized and Unified Framework  1
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5th Workshop on Sparse Grids and Applications, SGA 2018
作者: Holzmüller, David Pflüger, Dirk Institute for Stochastics and Applications University of Stuttgart Stuttgart Germany Institute for Parallel and Distributed Systems University of Stuttgart Stuttgart Germany
Sparse grids enable accurate function approximation in higher-dimensional settings with a moderate number of grid points. In this paper, we introduce generalized versions of various efficient sparse grid algorithms in... 详细信息
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A Sparse-Grid Probabilistic Scheme for Approximation of the Runaway Probability of Electrons in Fusion Tokamak Simulation  1
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5th Workshop on Sparse Grids and Applications, SGA 2018
作者: Yang, Minglei Zhang, Guannan del-Castillo-Negrete, Diego Stoyanov, Miroslav Beidler, Matthew Department of Mathematics and Statistics Auburn University AuburnAL United States Computer Science and Mathematics Division Oak Ridge National Laboratory Oak RidgeTN United States Fusion Energy Division Oak Ridge National Laboratory Oak RidgeTN United States
Runaway electrons (RE) generated during magnetic disruptions present a major threat to the safe operation of plasma nuclear fusion reactors. A critical aspect of understanding RE dynamics is to calculate the runaway p... 详细信息
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Hierarchical Extended B-splines for Approximations on Sparse Grids  1
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5th Workshop on Sparse Grids and Applications, SGA 2018
作者: Rehme, Michael F. Zimmer, Stefan Pflüger, Dirk Institute for Parallel and Distributed Systems University of Stuttgart Stuttgart Germany
B-splines on sparse grids are a versatile method for higher-dimensional approximation, especially in smooth settings or if gradient information is advantageous. With increasing dimension, grid points on the boundary b... 详细信息
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Propagation of Uncertainties in Density-Driven Flow  1
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5th Workshop on Sparse Grids and Applications, SGA 2018
作者: Litvinenko, Alexander Logashenko, Dmitry Tempone, Raul Wittum, Gabriel Keyes, David RWTH Aachen Aachen Germany KAUST Thuwal/Jeddah Saudi Arabia G-CSC Frankfurt University Frankfurt Germany
Accurate modeling of contamination in subsurface flow and water aquifers is crucial for agriculture and environmental protection. Here, we demonstrate a parallel algorithm to quantify the propagation of uncertainty in... 详细信息
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A Posteriori Error Estimation for the Stochastic Collocation Finite Element Approximation of the Heat Equation with Random Coefficients  1
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5th Workshop on Sparse Grids and Applications, SGA 2018
作者: Nobile, Fabio Vidličková, Eva École Polytechnique Fédérale de Lausanne Institute of Mathematics Lausanne Switzerland
In this work we present a residual based a posteriori error estimation for a heat equation with a random forcing term and a random diffusion coefficient which is assumed to depend affinely on a finite number of indepe... 详细信息
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Sparse Grids Approximation of Goldstone Diagrams in Electronic Structure Calculations  1
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5th Workshop on Sparse Grids and Applications, SGA 2018
作者: Flad, Heinz-Jürgen Flad-Harutyunyan, Gohar Zentrum Mathematik Technische Universität München Garching Germany Mathematisch-Geographische Fakultät Katholische Universität Eichstätt-Ingolstadt Eichstätt Germany Present Address: Institut für Mathematik RWTH Aachen Aachen Germany
Coupled cluster theory provides hierarchical many-particle models and is presently considered as the ultimate benchmark in quantum chemistry. Despite its practical significance, a rigorous mathematical analysis of cou... 详细信息
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Generalized Sparse Grid Interpolation Based on the Fast Discrete Fourier Transform  1
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5th Workshop on Sparse Grids and Applications, SGA 2018
作者: Griebel, Michael Hamaekers, Jan Institute for Numerical Simulation University of Bonn Bonn Germany Fraunhofer Institute for Algorithms and Scientific Computing SCAI Schloss Birlinghoven Sankt Augustin Germany
In (Griebel and Hamaekers, Fast discrete Fourier transform on generalized sparse grids, Sparse grids and Applications, volume 97 of lecture notes in computational science and engineering, pages 75–108, Springer, 2014... 详细信息
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On Expansions and Nodes for Sparse Grid Collocation of Lognormal Elliptic PDEs  1
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5th Workshop on Sparse Grids and Applications, SGA 2018
作者: Ernst, Oliver G. Sprungk, Björn Tamellini, Lorenzo Department of Mathematics TU Chemnitz Chemnitz Germany Faculty of Mathematics and Computer Science TU Bergakademie Freiberg Freiberg Germany Istituto di Matematica Applicata e Tecnologie Informatiche "E. Magenes" Consiglio Nazionale delle Ricerche Pavia Italy
This work is a follow-up to our previous contribution ("Convergence of sparse collocation for functions of countably many Gaussian random variables (with application to elliptic PDEs)", SIAM J. Numer. Anal.,... 详细信息
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