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Modeling uncertainty in flow simulations via generalized polynomial chaos
Journal of Computational Physics · 2003 · Vol. 187(1) · pp. 137–167
Dongbin Xiu(Brown University)George Em Karniadakis✉(Brown University)
Probabilistic and Robust Engineering DesignWind and Air Flow StudiesAerodynamics and Acoustics in Jet FlowsPolynomial chaosMathematicsHermite polynomialsApplied mathematicsMonte Carlo methodPolynomialOrthogonal polynomialsMathematical analysis
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References
An Introduction to Orthogonal Polynomials.
Mathematics of Computation · 1981 · 2,928 citations
High-order splitting methods for the incompressible Navier-Stokes equations
Journal of Computational Physics · 1991 · 1,374 citations
The Orthogonal Development of Non-Linear Functionals in Series of Fourier-Hermite Functionals
Annals of Mathematics · 1947 · 1,264 citations
Spectral/hp element methods for CFD
Computers & Mathematics with Applications · 1999 · 673 citations
Nonlinear problems in random theory
Journal of the Franklin Institute · 1959 · 993 citations
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