| An adaptive multi-element generalized polynomial chaos method for stochastic differential equations X Wan, GE Karniadakis Journal of Computational Physics 209 (2), 617-642, 2005 | 708 | 2005 |
| Multi-element generalized polynomial chaos for arbitrary probability measures X Wan, GE Karniadakis SIAM Journal on Scientific Computing 28 (3), 901-928, 2006 | 571 | 2006 |
| The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications J Foo, X Wan, GE Karniadakis Journal of Computational Physics 227 (22), 9572-9595, 2008 | 284 | 2008 |
| Long-term behavior of polynomial chaos in stochastic flow simulations X Wan, GE Karniadakis Computer methods in applied mechanics and engineering 195 (41-43), 5582-5596, 2006 | 216 | 2006 |
| Beyond Wiener–Askey expansions: handling arbitrary pdfs X Wan, GE Karniadakis Journal of Scientific Computing 27, 455-464, 2006 | 204 | 2006 |
| Stochastic bifurcation analysis of Rayleigh–Bénard convection D Venturi, X Wan, GE Karniadakis Journal of fluid mechanics 650, 391-413, 2010 | 68 | 2010 |
| Stochastic low-dimensional modelling of a random laminar wake past a circular cylinder D Venturi, X Wan, GEM Karniadakis Journal of Fluid Mechanics 606, 339-367, 2008 | 65 | 2008 |
| Stochastic solutions for the two-dimensional advection-diffusion equation X Wan, D Xiu, GE Karniadakis SIAM Journal on Scientific Computing 26 (2), 578-590, 2004 | 65 | 2004 |
| Error control in multi-element generalized polynomial chaos method for elliptic problems with random coefficients X Wan, GE Karniadakis Communications in Computational Physics 5 (2-4), 793-820, 2009 | 56 | 2009 |
| Solving elliptic problems with non-Gaussian spatially-dependent random coefficients X Wan, GE Karniadakis Computer Methods in Applied Mechanics and Engineering 198 (21-26), 1985-1995, 2009 | 50 | 2009 |
| A stochastic modeling methodology based on weighted Wiener chaos and Malliavin calculus X Wan, B Rozovskii, GE Karniadakis Proceedings of the National Academy of Sciences 106 (34), 14189-14194, 2009 | 41 | 2009 |
| Stochastic computational fluid mechanics G Lin, X Wan, CH Su, GE Karniadakis Computing in Science & Engineering 9 (2), 21-29, 2007 | 37 | 2007 |
| Stochastic heat transfer enhancement in a grooved channel X Wan, GE Karniadakis Journal of Fluid Mechanics 565, 255-278, 2006 | 35 | 2006 |
| Horizontal dispersion of buoyant materials in the ocean surface boundary layer JH Liang, X Wan, KA Rose, PP Sullivan, JC McWilliams Journal of Physical Oceanography 48 (9), 2103-2125, 2018 | 32 | 2018 |
| A sharp error estimate for the fast Gauss transform X Wan, GE Karniadakis Journal of computational physics 219 (1), 7-12, 2006 | 29 | 2006 |
| Adaptive multi-element polynomial chaos with discrete measure: Algorithms and application to SPDEs M Zheng, X Wan, GE Karniadakis Applied Numerical Mathematics 90, 91-110, 2015 | 26 | 2015 |
| Effect of Uncertainty in Blowing Ratio on Film Cooling Effectiveness H Babaee, X Wan, S Acharya Journal of Heat Transfer 136 (3), 031701, 2014 | 25 | 2014 |
| Effect of Uncertainty in Blowing Ratio on Film Cooling Effectiveness H Babaee, X Wan, S Acharya Journal of Heat Transfer 136 (3), 031701, 2014 | 25 | 2014 |
| Wick–Malliavin approximation to nonlinear stochastic partial differential equations: analysis and simulations D Venturi, X Wan, R Mikulevicius, BL Rozovskii, GE Karniadakis Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2013 | 25 | 2013 |
| An adaptive high-order minimum action method X Wan Journal of Computational Physics 230 (24), 8669-8682, 2011 | 25 | 2011 |
George Em KarniadakisThe Charles Pitts Robinson and John Palmer Barstow Professor of Applied Mathematics and EngineeringVerified email at brown.edu
