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Stochastic Galerkin...
Stochastic Galerkin Projection and Numerical Integration for Stochastic Investigations of the Viscous Burgers’ Equation
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- Wahlsten, Markus, 1986- (författare)
- Linköpings universitet,Beräkningsmatematik,Tekniska fakulteten
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- Nordström, Jan, 1953- (författare)
- Linköpings universitet,Beräkningsmatematik,Tekniska fakulteten
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(creator_code:org_t)
- Linköping : Linköping University Electronic Press, 2018
- Engelska 14 s.
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Serie: LiTH-MAT-R, 0348-2960 ; 2018:2
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Abstract
Ämnesord
Stäng
- We consider a stochastic analysis of the non-linear viscous Burgers’ equation and focus on the comparison between intrusive and non-intrusive uncer- tainty quantification methods. The intrusive approach uses a combination of polynomial chaos and stochastic Galerkin projection. The non-intrusive method uses numerical integration by combining quadrature rules and the probability density functions of the prescribed uncertainties. The two methods are applied to a provably stable formulation of the viscous Burgers’ equation, and compared. As measures of comparison: variance size, computational efficiency and accuracy are used.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Uncertainty quantification
- stochastic data
- polynomial chaos
- stochastic Galerkin
- intrusive methods
- non-intrusive methods
- Burgers’ equation
Publikations- och innehållstyp
- vet (ämneskategori)
- rap (ämneskategori)