An Introduction to Uncertainty Quantification for Kinetic Equations and Related Problems

Publikation: Beitrag in Buch/Bericht/KonferenzbandKapitelBegutachtung

11 Zitate (Scopus)

Abstract

We overview some recent results in the field of uncertainty quantification for kinetic equations and related problems with random inputs. Uncertainties may be due to various reasons, such as lack of knowledge on the microscopic interaction details or incomplete information at the boundaries or on the initial data. These uncertainties contribute to the curse of dimensionality and the development of efficient numerical methods is a challenge. After a brief introduction on the main numerical techniques for uncertainty quantification in partial differential equations, we focus our survey on some of the recent progress on multi-fidelity methods and stochastic Galerkin methods for kinetic equations.

OriginalspracheEnglisch
TitelSEMA SIMAI Springer Series
Herausgeber (Verlag)Springer Science and Business Media Deutschland GmbH
Seiten141-181
Seitenumfang41
DOIs
PublikationsstatusVeröffentlicht - 2021
Extern publiziertJa

Publikationsreihe

NameSEMA SIMAI Springer Series
Band25
ISSN (Print)2199-3041
ISSN (elektronisch)2199-305X

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