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Sparse grids and applications - Muni...

Workshop on Sparse Grids and Applications (2018 :)

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Sparse grids and applications - Munich 2018

Record Type:	Electronic resources : Monograph/item
Title/Author:	Sparse grids and applications - Munich 2018/ edited by Hans-Joachim Bungartz, Jochen Garcke, Dirk Pfluger.
other author:	Bungartz, Hans-Joachim.
corporate name:	Workshop on Sparse Grids and Applications
Published:	Cham :Springer International Publishing : : 2021.,
Description:	1 online resource (viii, 264 p.) :ill., digital ;24 cm.
[NT 15003449]:	On Expansions and Nodes for Sparse Grid Collocation of Lognormal Elliptic PDEs -- Sparse Grids Approximation of Goldstone Diagrams in Electronic Structure Calculations -- Generalized Sparse Grid Interpolation Based on the Fast Discrete Fourier Transform -- Fast Sparse Grid Operations using the Unidirectional Principle: A Generalized and Unified Framework -- Propagation of Uncertainties in Density-Driven Flow -- A Posteriori Error Estimation for the Stochastic Collocation Finite Element Approximation of the Heat Equation with Random Coefficients -- A Spatially Adaptive Sparse Grid Combination Technique for Numerical Quadrature -- Hierarchical Extended B-splines for Approximations on Sparse Grids -- Analysis of Sparse Grid Multilevel Estimators for Multi-dimensional Zakai Equations -- Efficiently Transforming from Values of a Function on a Sparse Grid to Basis Coefficients -- A Sparse-Grid Probabilistic Scheme for Approximation of the Runaway Probability of Electrons in Fusion Tokamak Simulation.
Contained By:	Springer Nature eBook
Subject:	Sparse matrices - Congresses. -
Online resource:	https://doi.org/10.1007/978-3-030-81362-8
ISBN:	9783030813628

Sparse grids and applications - Munich 2018
Sparse grids and applications - Munich 2018[electronic resource] /edited by Hans-Joachim Bungartz, Jochen Garcke, Dirk Pfluger. - Cham :Springer International Publishing :2021. - 1 online resource (viii, 264 p.) :ill., digital ;24 cm. - Lecture notes in computational science and engineering,v. 1442197-7100 ;. - Lecture notes in computational science and engineering ;v. 144..

On Expansions and Nodes for Sparse Grid Collocation of Lognormal Elliptic PDEs -- Sparse Grids Approximation of Goldstone Diagrams in Electronic Structure Calculations -- Generalized Sparse Grid Interpolation Based on the Fast Discrete Fourier Transform -- Fast Sparse Grid Operations using the Unidirectional Principle: A Generalized and Unified Framework -- Propagation of Uncertainties in Density-Driven Flow -- A Posteriori Error Estimation for the Stochastic Collocation Finite Element Approximation of the Heat Equation with Random Coefficients -- A Spatially Adaptive Sparse Grid Combination Technique for Numerical Quadrature -- Hierarchical Extended B-splines for Approximations on Sparse Grids -- Analysis of Sparse Grid Multilevel Estimators for Multi-dimensional Zakai Equations -- Efficiently Transforming from Values of a Function on a Sparse Grid to Basis Coefficients -- A Sparse-Grid Probabilistic Scheme for Approximation of the Runaway Probability of Electrons in Fusion Tokamak Simulation.

Sparse grids are a popular tool 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 flavors, are frequently the method of choice. This volume of LNCSE presents selected papers from the proceedings of the fifth workshop on sparse grids and applications, and demonstrates once again the importance of this numerical discretization scheme. The articles present recent advances in the numerical analysis of sparse grids in connection with a range of applications including uncertainty quantification, plasma physics simulations, and computational chemistry, to name but a few.

ISBN: 9783030813628

Standard No.: 10.1007/978-3-030-81362-8doiSubjects--Topical Terms:

3538763
Sparse matrices
--Congresses.

LC Class. No.: QA188 / W67 2018

Dewey Class. No.: 004.36

Sparse grids and applications - Munich 2018
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300 $a 1 online resource (viii, 264 p.) : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in computational science and engineering, $x 2197-7100 ; $v v. 144
505 0 $a On Expansions and Nodes for Sparse Grid Collocation of Lognormal Elliptic PDEs -- Sparse Grids Approximation of Goldstone Diagrams in Electronic Structure Calculations -- Generalized Sparse Grid Interpolation Based on the Fast Discrete Fourier Transform -- Fast Sparse Grid Operations using the Unidirectional Principle: A Generalized and Unified Framework -- Propagation of Uncertainties in Density-Driven Flow -- A Posteriori Error Estimation for the Stochastic Collocation Finite Element Approximation of the Heat Equation with Random Coefficients -- A Spatially Adaptive Sparse Grid Combination Technique for Numerical Quadrature -- Hierarchical Extended B-splines for Approximations on Sparse Grids -- Analysis of Sparse Grid Multilevel Estimators for Multi-dimensional Zakai Equations -- Efficiently Transforming from Values of a Function on a Sparse Grid to Basis Coefficients -- A Sparse-Grid Probabilistic Scheme for Approximation of the Runaway Probability of Electrons in Fusion Tokamak Simulation.
520 $a Sparse grids are a popular tool 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 flavors, are frequently the method of choice. This volume of LNCSE presents selected papers from the proceedings of the fifth workshop on sparse grids and applications, and demonstrates once again the importance of this numerical discretization scheme. The articles present recent advances in the numerical analysis of sparse grids in connection with a range of applications including uncertainty quantification, plasma physics simulations, and computational chemistry, to name but a few.
650 0 $a Sparse matrices $v Congresses. $3 3538763
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650 2 4 $a Mathematics of Computing. $3 891213
650 2 4 $a Computer Science. $3 626642
650 2 4 $a Approximations and Expansions. $3 897324
700 1 $a Bungartz, Hans-Joachim. $3 2056117
700 1 $a Garcke, Jochen. $3 2062961
700 1 $a Pfluger, Dirk. $3 2062962
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950 $a Mathematics and Statistics (SpringerNature-11649)