| The Wiener-Askey polynomial chaos for stochastic differential equations D Xiu, GE Karniadakis SIAM Journal on Scientific Computing 24 (2), 614-644, 2002 | 6347 | 2002 |
| Numerical methods for stochastic computations: a spectral method approach D Xiu Princeton university press, 2010 | 2566 | 2010 |
| High-order collocation methods for differential equations with random inputs D Xiu, JS Hesthaven SIAM Journal on Scientific Computing 27 (3), 1118-1139, 2005 | 2091 | 2005 |
| Modeling uncertainty in flow simulations via generalized polynomial chaos D Xiu, GE Karniadakis Journal of computational physics 187 (1), 137-167, 2003 | 1886 | 2003 |
| Fast numerical methods for stochastic computations: a review D Xiu Communications in Computational Physics 5 (2-4), 242-272, 2009 | 933 | 2009 |
| Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos D Xiu, GE Karniadakis Computer methods in applied mechanics and engineering 191 (43), 4927-4948, 2002 | 784 | 2002 |
| Efficient collocational approach for parametric uncertainty analysis D Xiu Communications in Computational Physics 2 (2), 293-309, 2007 | 600 | 2007 |
| Stochastic modeling of flow-structure interactions using generalized polynomial chaos D Xiu, D Lucor, CH Su, GE Karniadakis J. Fluids Eng. 124 (1), 51-59, 2002 | 386 | 2002 |
| Data driven governing equations approximation using deep neural networks T Qin, K Wu, D Xiu Journal of Computational Physics 395, 620-635, 2019 | 381 | 2019 |
| A stochastic collocation approach to Bayesian inference in inverse problems Y Marzouk, D Xiu Communications in Computational Physics 6 (4), 826-847, 2009 | 368 | 2009 |
| A new stochastic approach to transient heat conduction modeling with uncertainty D Xiu, GE Karniadakis International Journal of Heat and Mass Transfer 46 (24), 4681-4693, 2003 | 295 | 2003 |
| Numerical methods for differential equations in random domains D Xiu, DM Tartakovsky SIAM Journal on Scientific Computing 28 (3), 1167-1185, 2006 | 256 | 2006 |
| A semi-Lagrangian high-order method for Navier-Stokes equations D Xiu, GE Karniadakis Journal of Computational Physics 172 (2), 658-684, 2001 | 248 | 2001 |
| Evaluation of failure probability via surrogate models J Li, D Xiu Journal of Computational Physics 229 (23), 8966-8980, 2010 | 201 | 2010 |
| Data-driven deep learning of partial differential equations in modal space K Wu, D Xiu Journal of Computational Physics 408, 109307, 2020 | 192 | 2020 |
| A stochastic collocation algorithm with multifidelity models A Narayan, C Gittelson, D Xiu SIAM Journal on Scientific Computing 36 (2), A495-A521, 2014 | 187 | 2014 |
| Galerkin method for wave equations with uncertain coefficients D Gottlieb, D Xiu Communications in Computational Physics 3 (2), 505-518, 2008 | 184 | 2008 |
| A generalized polynomial chaos based ensemble Kalman filter with high accuracy J Li, D Xiu Journal of Computational Physics 228 (15), 5454-5469, 2009 | 180 | 2009 |
| Stochastic Collocation Algorithms using l1--Minimization L Yan, L Guo, D Xiu International Journal for Uncertainty Quantification 2 (3), 279-293, 2012 | 158 | 2012 |
| Numerical approach for quantification of epistemic uncertainty J Jakeman, M Eldred, D Xiu Journal of Computational Physics 229 (12), 4648-4663, 2010 | 148 | 2010 |
George Em KarniadakisThe Charles Pitts Robinson and John Palmer Barstow Professor of Applied Mathematics and EngineeringVerified email at brown.edu
