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005 - DATE AND TIME OF LATEST TRANSACTION |
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20140310153040.0 |
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9789048135202 |
|
978-90-481-3520-2 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA71-90 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
004 |
Edition number |
23 |
264 #1 - |
-- |
Dordrecht : |
-- |
Springer Netherlands, |
-- |
2010. |
912 ## - |
-- |
ZDB-2-PHA |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Le Maître, O. P. |
Relator term |
author. |
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
Spectral Methods for Uncertainty Quantification |
Medium |
[electronic resource] : |
Remainder of title |
With Applications to Computational Fluid Dynamics / |
Statement of responsibility, etc |
by O. P. Le Maître, Omar M. Knio. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XVI, 552p. |
Other physical details |
online resource. |
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Scientific Computation, |
International Standard Serial Number |
1434-8322 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Introduction: Uncertainty Quantification and Propagation -- Basic Formulations -- Spectral Expansions -- Non-intrusive Methods -- Galerkin Methods -- Detailed Elementary Applications -- Application to Navier-Stokes Equations -- Advanced topics -- Solvers for Stochastic Galerkin Problems -- Wavelet and Multiresolution Analysis Schemes -- Adaptive Methods -- Epilogue. |
520 ## - SUMMARY, ETC. |
Summary, etc |
This book presents applications of spectral methods to problems of uncertainty propagation and quantification in model-based computations, focusing on the computational and algorithmic features of these methods most useful in dealing with models based on partial differential equations, in particular models arising in simulations of fluid flows. Spectral stochastic methods are probabilistic in nature, and are consequently rooted in the rich mathematical foundations associated with probability and measure spaces. A brief discussion is provided of only those theoretical aspects needed to set the stage for subsequent applications. These are demonstrated through detailed treatments of elementary problems, as well as in more elaborate examples involving vortex-dominated flows and compressible flows at low Mach numbers. Some recent developments are also outlined in the book, including iterative techniques (such as stochastic multigrids and Newton schemes), intrusive and non-intrusive formalisms, spectral representations using mixed and discontinuous bases, multi-resolution approximations, and adaptive techniques. Readers are assumed to be familiar with elementary methods for the numerical solution of time-dependent, partial differential equations; prior experience with spectral approximation is helpful but not essential. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Computational complexity. |
|
Topical term or geographic name as entry element |
Differential equations, partial. |
|
Topical term or geographic name as entry element |
Computer science. |
|
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Computational Science and Engineering. |
|
Topical term or geographic name as entry element |
Fluid- and Aerodynamics. |
|
Topical term or geographic name as entry element |
Numerical and Computational Physics. |
|
Topical term or geographic name as entry element |
Partial Differential Equations. |
|
Topical term or geographic name as entry element |
Discrete Mathematics in Computer Science. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Knio, Omar M. |
Relator term |
author. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9789048135196 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-90-481-3520-2 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |