Nobile, F., Tempone, R., and Webster, C.G., An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data, SIAMJ. and Jakeman, J.D., Adaptive Leja Sparse Grid Constructions for Stochastic Collocation and High-Dimensional Approximation, SIAMJ. and Griebel, M., Dimension-Adaptive Tensor-Product Quadrature, Computing, 71(1):65-87, 2003. Comput, 27(3):1118-1139, 2005.Ĭhkifa, A., Cohen, A., and Schwab, C., High-Dimensional Adaptive Sparse Polynomial Interpolation and Applications to Parametric PDEs, Found. ![]() and Hesthaven, J.S., High-Order Collocation Methods for Differential Equations with Random Inputs, SIAM J. and Karniadakis, G.E., The Wiener-Askey Polynomial Chaos for Stochastic Differential Equations, SIAM J. Anal, 42(2):800-825, 2004.īabuska, I., Nobile, F., and Tempone, R., A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data, SIAMRev., 2:317-355,2010. and Spanos, P.D., Stochastic Finite Elements: A Spectral Approach, New York: Springer, 1991.īabuska, I., Tempone, R., and Zouraris, G.E., Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations, SIAMJ. ![]() ![]() Xiu, D., Fast Numerical Methods for Stochastic Computations: A Review, Commun. Scarabosio, L., Shape Uncertainty Quantification for Scattering Transmission Problems, PhD, ETH Zurich, 2016. Chkifa, A., Cohen, A., and Schwab, C., Breaking the Curse of Dimensionality in Sparse Polynomial Approximation of Parametric PDEs, J.
0 Comments
Leave a Reply. |