102 citations · 219 across the 18 of their papers we have counts for
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math.NA2015★ 1 cited
Quantification of airfoil geometry-induced aerodynamic uncertainties - comparison of approaches
Dishi Liu, Alexander Litvinenko, Claudia Schillings +1
Uncertainty quantification in aerodynamic simulations calls for efficient numerical methods since it is computationally expensive, especially for the uncertainties caused by random…
math.NA2015★ 2 cited
Polynomial Chaos Expansion of random coefficients and the solution of stochastic partial differential equations in the Tensor Train format
Sergey Dolgov, Boris N. Khoromskij, Alexander Litvinenko +1
We apply the Tensor Train (TT) decomposition to construct the tensor product Polynomial Chaos Expansion (PCE) of a random field, to solve the stochastic elliptic diffusion PDE with…