عنوان
پدید آورنده
موضوع
رده
QA188
QA188
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
3319754262
(Number (ISBN
9783319754260
Erroneous ISBN
3319754254
Erroneous ISBN
9783319754253
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Sparse grids and applications :
General Material Designation
[Book]
Other Title Information
Miami 2016 /
First Statement of Responsibility
Jochen Garcke, Dirk Pflüger, Clayton G. Webster, Guannan Zhang, editors.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cham, Switzerland :
Name of Publisher, Distributor, etc.
Springer,
Date of Publication, Distribution, etc.
[2018]
Date of Publication, Distribution, etc.
©2018
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource
SERIES
Series Title
Lecture notes in computational science and engineering ;
Volume Designation
123
GENERAL NOTES
Text of Note
Selected papers from the conference.
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references.
CONTENTS NOTE
Text of Note
Intro; Preface; Contents; Contributors; Comparing Nested Sequences of Leja and PseudoGauss Points to Interpolate in 1D and Solve the Schroedinger Equation in 9D; 1 Introduction; 2 Interpolation; 3 The Importance of Nesting; 3.1 PseudoGauss Nested Points; 3.2 Leja Nested Points; 4 Lebesgue Constants; 5 Comparison Between Leja Points and PseudoGauss Points in Collocation Calculations; 6 Conclusion; References; On the Convergence Rate of Sparse Grid Least Squares Regression; 1 Introduction; 2 Least-Squares Regression; 3 Full Grids and Sparse Grids; 4 Error Analysis.
Text of Note
4 Numerical Results4.1 Second-Order Linear Oscillator with External Forcing; 4.2 A simple Fluid-Structure Interaction Example; 5 Conclusions and Outlook; References; Limiting Ranges of Function Values of Sparse Grid Surrogates; 1 Introduction; 2 Sparse Grids; 2.1 Hierarchical Ancestors and the Fundamental Property; 2.2 Interpolation on Sparse Grids; 3 Limiting Ranges of Sparse Grid Function Values; 3.1 Limitation from Above and Below; 3.2 Minimal Extension Set; 3.3 Computing Coefficients of the Extension Set; 3.4 Intersection Search; 4 Approximation of Gaussians with Extended Sparse Grids.
Text of Note
4.1 Intersection Search and Candidate Sets for Regular Sparse Grids4.2 Extension Sets and Convergence for Regular Grids; 4.3 Extension Sets for Adaptively Refined Grids; 5 Conclusions; References; Scalable Algorithmic Detection of Silent Data Corruption for High-Dimensional PDEs; 1 Introduction; 1.1 High-Dimensional PDEs in High-Performance Computing; 2 Theory of the Classical Combination Technique; 3 The Combination Technique in Parallel; 4 Dealing with System Faults; 5 Detecting and Recovering from SDC; 5.1 Method 1: Comparing Combination Solutions Pairwise via a Maximum Norm.
Text of Note
4.1 Well-Posedness and Error Decay4.2 Application to Sparse Grids; 5 Numerical Experiments; 5.1 Error Decay; 5.2 Balancing the Error; 6 Conclusion; References; Multilevel Adaptive Stochastic Collocation with Dimensionality Reduction; 1 Introduction; 2 Adaptivity with Sparse Grids; 2.1 Interpolation on Spatially-Adaptive Sparse Grids; 2.2 Interpolation with Dimension-Adaptive Sparse Grids; 3 Multilevel Stochastic Collocation with Dimensionality Reduction; 3.1 Generalized Polynomial Chaos; 3.2 Multilevel Approaches for Generalized Polynomial Chaos; 3.3 Stochastic Dimensionality Reduction.
Text of Note
5.2 Method 2: Comparing Combination Solutions via their Function Values Directly5.3 Cost and Parallelization; 5.4 Detection Rates; 6 Numerical Tests; 6.1 Experimental Setup; 6.2 SDC Injection; 6.3 Results: Detection Rates and Errors; 6.4 Results: Scaling; 6.5 Dealing with False Positives; 7 Extensions to Quantities of Interest; 8 Conclusion; References; Sparse Grid Quadrature Rules Based on Conformal Mappings; 1 Introduction and Background; 2 Transformed Quadrature Rules; 2.1 Standard One-Dimensional Quadrature Rules; 2.2 Sparse Quadrature for High Dimensional Integrals.
0
8
8
8
8
SUMMARY OR ABSTRACT
Text of Note
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 fourth 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 computational chemistry, computational fluid dynamics, and big data analytics, to name but a few.--
ACQUISITION INFORMATION NOTE
Source for Acquisition/Subscription Address
Springer Nature
Stock Number
com.springer.onix.9783319754260
OTHER EDITION IN ANOTHER MEDIUM
Title
Sparse grids and applications.
International Standard Book Number
9783319754253
TOPICAL NAME USED AS SUBJECT
Numerical analysis, Congresses.
Numerical grid generation (Numerical analysis), Congresses.
Sparse matrices, Congresses.
Computer modelling & simulation.
COMPUTERS-- Computer Literacy.
COMPUTERS-- Computer Science.
COMPUTERS-- Data Processing.
COMPUTERS-- Hardware-- General.
COMPUTERS-- Information Technology.
COMPUTERS-- Machine Theory.
COMPUTERS-- Reference.
Differential calculus & equations.
Mathematical theory of computation.
Numerical analysis.
Numerical analysis.
Numerical grid generation (Numerical analysis)
Sparse matrices.
(SUBJECT CATEGORY (Provisional
COM-- 013000
COM-- 014000
COM-- 018000
COM-- 032000
COM-- 037000
COM-- 052000
COM-- 067000
PBKS
DEWEY DECIMAL CLASSIFICATION
Number
004
.
36
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA188
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Garcke, Jochen
Pflüger, Dirk
Webster, Clayton G., (Clayton Garrett),1978-
Zhang, Guannan,1984-
CORPORATE BODY NAME - PRIMARY RESPONSIBILITY
Workshop on Sparse Grids and Applications(4th :2016 :, Miami, Fla.)
ORIGINATING SOURCE
Date of Transaction
20200823105914.0
Cataloguing Rules (Descriptive Conventions))
pn
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
