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Erschienen in:
The Stochastic Finite Volume Method Kapitel lesen Erstes Kapitel lesen

2017 | OriginalPaper | Buchkapitel

Uncertainty Modeling and Propagation in Linear Kinetic Equations

verfasst von : Guillaume Bal, Wenjia Jing, Olivier Pinaud

Erschienen in: Uncertainty Quantification for Hyperbolic and Kinetic Equations

Verlag: Springer International Publishing

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Abstract

This paper reviews recent work in two complementary aspects of uncertainty quantification of linear kinetic models. First, we review the modeling of uncertainties in linear kinetic equations as high frequency limits of models for wave propagations in heterogeneous media. Second, we analyze the propagation of stochasticity from the constitutive coefficients to the solutions of linear kinetic equations. Such uncertainty quantifications find many important applications, e.g. in physics-based modeling of errors in inverse problems measurement.

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Vorheriges Kapitel The Stochastic Finite Volume Method
Nächstes Kapitel Numerical Methods for High-Dimensional Kinetic Equations
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Metadaten
Titel
Uncertainty Modeling and Propagation in Linear Kinetic Equations
verfasst von
Guillaume Bal
Wenjia Jing
Olivier Pinaud
Copyright-Jahr
2017
Buch
Uncertainty Quantification for Hyperbolic and Kinetic Equations

Print ISBN: 978-3-319-67109-3

Electronic ISBN: 978-3-319-67110-9

Copyright-Jahr: 2017

DOI
https://doi.org/10.1007/978-3-319-67110-9_2