A Monomial Chaos Approach for Efficient Uncertainty Quantification in Nonlinear Problems

DOI10.1137/06067287XzbMath1167.65072MaRDI QIDQ3630372

Hester Bijl, Jeroen A. S. Witteveen

Publication date: 28 May 2009

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

error estimatesperturbation methodBurgers equationMonte Carlo methodcomputational fluid dynamicsnonlinear equationsuncertainty quantificationpolynomial nonlinearitiesboundary layer flow problemGalerkin polynomial chaos methodnondeterministic approachesnonintrusive polynomial chaos method

Mathematics Subject Classification ID

Monte Carlo methods (65C05) KdV equations (Korteweg-de Vries equations) (35Q53) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical chaos (65P20)

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