Concepedia

Partitioned treatment of uncertainty in coupled domain problems: A separated representation approach

Mohammad Hadigol, Alireza Doostan, Hermann G. Matthies, Rainer Niekamp

Computer Methods in Applied Mechanics and Engineering · 2014 · 36 citations · 62 references

Open access

Concepts

ComputingComputational EngineeringMathematicsComputational MechanicsFinite Element AnalysisUncertainty QuantificationBoundary ConditionsFinite Element DiscretizationFinite Element FormulationPropagation Of UncertaintyUncertainty AnalysisUncertainty RepresentationUncertainty CharacterizationUncertainty DecompositionUncertainty Quantification In Coupled SystemsUncertainty Quantification Of Domains

References

62

Tensor Decompositions and Applications

Tamara G. Kolda, Brett W. Bader · SIAM Review · 2009 · 10.5K citations

Computing, Computer Science, Neuroscience +12

The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations

Dongbin Xiu, George Em Karniadakis · SIAM Journal on Scientific Computing · 2002 · 4.7K citations

Natural Sciences, Computational Engineering, Mathematics +16

The Homogeneous Chaos

Norbert Wiener · American Journal of Mathematics · 1938 · 3K citations

PARAFAC. Tutorial and applications

Rasmus Bro · Chemometrics and Intelligent Laboratory Systems · 1997 · 2.8K citations

Architecture, Computer Science, Parametric Design +3

High-Order Collocation Methods for Differential Equations with Random Inputs

Dongbin Xiu, Jan S. Hesthaven · SIAM Journal on Scientific Computing · 2005 · 1.5K citations · Full text

Computing, Computational Engineering, Finite Element Analysis +15