Numerical integration formulas of degree twoDONGBIN XIU.Applied numerical mathematics. 2008, Vol 58, Num 10, pp 1515-1520, issn 0168-9274, 6 p.Article

On numerical properties of the ensemble Kalman filter for data assimilationJIA LI; DONGBIN XIU.Computer methods in applied mechanics and engineering. 2008, Vol 197, Num 43-44, pp 3574-3583, issn 0045-7825, 10 p.Article

A generalized polynomial chaos based ensemble Kalman filter with high accuracyJIA LI; DONGBIN XIU.Journal of computational physics (Print). 2009, Vol 228, Num 15, pp 5454-5469, issn 0021-9991, 16 p.Article

High-order collocation methods for differential equations with random inputsDONGBIN XIU; HESTHAVEN, Jan S.SIAM journal on scientific computing (Print). 2005, Vol 27, Num 3, pp 1118-1139, issn 1064-8275, 22 p.Article

A new stochastic approach to transient heat conduction modeling with uncertaintyDONGBIN XIU; KARNIADAKIS, George Em.International journal of heat and mass transfer. 2003, Vol 46, Num 24, pp 4681-4693, issn 0017-9310, 13 p.Article

Modeling uncertainty in steady state diffusion problems via generalized polynomial chaosDONGBIN XIU; KARNIADAKIS, George Em.Computer methods in applied mechanics and engineering. 2002, Vol 191, Num 43, pp 4927-4948, issn 0045-7825Article

Stochastic Modeling of Multiscale and Multiphysics ProblemsZABARAS, Nicholas; DONGBIN XIU.Computer methods in applied mechanics and engineering. 2008, Vol 197, Num 43-44, issn 0045-7825, 175 p.Serial Issue

A semi-Lagrangian method for turbulence simulations using mixed spectral discretizationsJIN XU; DONGBIN XIU; KARNIADAKIS, George Em et al.Journal of scientific computing. 2002, Vol 17, Num 1-4, pp 585-597, issn 0885-7474Conference Paper

Sequential data assimilation with multiple modelsNARAYAN, Akil; MARZOUK, Youssef; DONGBIN XIU et al.Journal of computational physics (Print). 2012, Vol 231, Num 19, pp 6401-6418, issn 0021-9991, 18 p.Article

An efficient surrogate-based method for computing rare failure probabilityJING LI; JINGLAI LI; DONGBIN XIU et al.Journal of computational physics (Print). 2011, Vol 230, Num 24, pp 8683-8697, issn 0021-9991, 15 p.Article

Uncertainty quantification models for micro-scale squeeze-film dampingXIAOHUI GUO; JIA LI; DONGBIN XIU et al.International journal for numerical methods in engineering. 2010, Vol 84, Num 10, pp 1257-1272, issn 0029-5981, 16 p.Article

Characterization of discontinuities in high-dimensional stochastic problems on adaptive sparse gridsJAKEMAN, John D; ARCHIBALD, Richard; DONGBIN XIU et al.Journal of computational physics (Print). 2011, Vol 230, Num 10, pp 3977-3997, issn 0021-9991, 21 p.Article

Numerical approach for quantification of epistemic uncertaintyJAKEMAN, John; ELDRED, Michael; DONGBIN XIU et al.Journal of computational physics (Print). 2010, Vol 229, Num 12, pp 4648-4663, issn 0021-9991, 16 p.Article

Slow-scale tau-leaping methodYANG CAO; PETZOLD, Linda.Computer methods in applied mechanics and engineering. 2008, Vol 197, Num 43-44, pp 3472-3479, issn 0045-7825, 8 p.Article

Stochastic modeling of coupled electromechanical interaction for uncertainty quantification in electrostatically actuated MEMSAGARWAL, Nitin; ALURU, N. R.Computer methods in applied mechanics and engineering. 2008, Vol 197, Num 43-44, pp 3456-3471, issn 0045-7825, 16 p.Article

Stochastic modeling of flow-structure interactions using generalized polynomial chaos : Special section on quantifying uncertainty in CFDDONGBIN XIU; LUCOR, Didier; SU, C.-H et al.Journal of fluids engineering. 2002, Vol 124, Num 1, pp 51-59, issn 0098-2202Article

Multiscale finite element methods for stochastic porous media flow equations and application to uncertainty quantificationDOSTERT, P; EFENDIEV, Y; HOU, T. Y et al.Computer methods in applied mechanics and engineering. 2008, Vol 197, Num 43-44, pp 3445-3455, issn 0045-7825, 11 p.Article

Stochastic modeling of random roughness in shock scattering problems: Theory and simulationsLIN, G; SU, C.-H; KARNIADAKIS, G. E et al.Computer methods in applied mechanics and engineering. 2008, Vol 197, Num 43-44, pp 3420-3434, issn 0045-7825, 15 p.Article

Statistical volume element method for predicting microstructure-constitutive property relationsXIAOLEI YIN; WEI CHEN; TO, Albert et al.Computer methods in applied mechanics and engineering. 2008, Vol 197, Num 43-44, pp 3516-3529, issn 0045-7825, 14 p.Article

Stochastic solutions for the-two-dimensional advection-diffusion equationXIAOLIANG WAN; DONGBIN XIU; KARNIADAKIS, George E. M et al.SIAM journal on scientific computing (Print). 2005, Vol 26, Num 2, pp 578-590, issn 1064-8275, 13 p.Conference Paper

Multiscale stochastic modeling for tractable inference and data assimilationMYUNG JIN CHOI; CHANDRASEKARAN, Venkat; MALIOUTOV, Dmitry M et al.Computer methods in applied mechanics and engineering. 2008, Vol 197, Num 43-44, pp 3492-3515, issn 0045-7825, 24 p.Article