Polynomial Chaos Methods for Hyperbolic Partial Differential Equations (Record no. 57458)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03988nam a22005415i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-319-10714-1 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200421112222.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 150310s2015 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783319107141 |
| -- | 978-3-319-10714-1 |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 620.1064 |
| 100 1# - AUTHOR NAME | |
| Author | Pettersson, Mass Per. |
| 245 10 - TITLE STATEMENT | |
| Title | Polynomial Chaos Methods for Hyperbolic Partial Differential Equations |
| Sub Title | Numerical Techniques for Fluid Dynamics Problems in the Presence of Uncertainties / |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | XI, 214 p. 60 illus., 54 illus. in color. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Mathematical Engineering, |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | Random Field Representation -- Polynomial Chaos Methods -- Numerical Solution of Hyperbolic Problems -- Linear Transport -- Nonlinear Transport -- Boundary Conditions and Data -- Euler Equations -- A Hybrid Scheme for Two-Phase Flow -- Appendices. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This monograph presents computational techniques and numerical analysis to study conservation laws under uncertainty using the stochastic Galerkin formulation. With the continual growth of computer power, these methods are becoming increasingly popular as an alternative to more classical sampling-based techniques. The approach described in the text takes advantage of stochastic Galerkin projections applied to the original conservation laws to produce a large system of modified partial differential equations, the solutions to which directly provide a full statistical characterization of the effect of uncertainties. Polynomial Chaos Methods of Hyperbolic Partial Differential Equations focuses on the analysis of stochastic Galerkin systems obtained for linear and non-linear convection-diffusion equations and for a systems of conservation laws; a detailed well-posedness and accuracy analysis is presented to enable the design of robust and stable numerical methods. The exposition is restricted to one spatial dimension and one uncertain parameter as its extension is conceptually straightforward. The numerical methods designed guarantee that the solutions to the uncertainty quantification systems will converge as the mesh size goes to zero. Examples from computational fluid dynamics are presented together with numerical methods suitable for the problem at hand: stable high-order finite-difference methods based on summation-by-parts operators for smooth problems, and robust shock-capturing methods for highly nonlinear problems. Academics and graduate students interested in computational fluid dynamics and uncertainty quantification will find this book of interest. Readers are expected to be familiar with the fundamentals of numerical analysis. Some background in stochastic methods is useful but not necessary. |
| 700 1# - AUTHOR 2 | |
| Author 2 | Iaccarino, Gianluca. |
| 700 1# - AUTHOR 2 | |
| Author 2 | Nordstr�om, Jan. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1007/978-3-319-10714-1 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 264 #1 - | |
| -- | Cham : |
| -- | Springer International Publishing : |
| -- | Imprint: Springer, |
| -- | 2015. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Engineering. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Numerical analysis. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Fluids. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Fluid mechanics. |
| 650 14 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Engineering. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Engineering Fluid Dynamics. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Numerical Analysis. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Fluid- and Aerodynamics. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| -- | 2192-4732 |
| 912 ## - | |
| -- | ZDB-2-ENG |
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