| 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 | 732 | 2005 |
| Multi-element generalized polynomial chaos for arbitrary probability measures X Wan, GE Karniadakis SIAM Journal on Scientific Computing 28 (3), 901-928, 2006 | 607 | 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 | 287 | 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 | 221 | 2006 |
| Beyond Wiener–Askey expansions: handling arbitrary pdfs X Wan, GE Karniadakis Journal of Scientific Computing 27, 455-464, 2006 | 203 | 2006 |
| DAS-PINNs: A deep adaptive sampling method for solving high-dimensional partial differential equations K Tang, X Wan, C Yang Journal of Computational Physics 476, 111868, 2023 | 78 | 2023 |
| Stochastic bifurcation analysis of Rayleigh–Bénard convection D Venturi, X Wan, GE Karniadakis Journal of fluid mechanics 650, 391-413, 2010 | 76 | 2010 |
| 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 | 67 | 2004 |
| 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 | 63 | 2008 |
| 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 | 57 | 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 | 43 | 2009 |
| Adaptive deep density approximation for Fokker-Planck equations K Tang, X Wan, Q Liao Journal of Computational Physics 457, 111080, 2022 | 40 | 2022 |
| Stochastic computational fluid mechanics G Lin, X Wan, CH Su, GE Karniadakis Computing in Science & Engineering 9 (2), 21-29, 2007 | 39 | 2007 |
| 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 | 38 | 2018 |
| Stochastic heat transfer enhancement in a grooved channel X Wan, GE Karniadakis Journal of Fluid Mechanics 565, 255-278, 2006 | 36 | 2006 |
| Effect of Uncertainty in Blowing Ratio on Film Cooling Effectiveness H Babaee, X Wan, S Acharya Journal of Heat Transfer 136 (3), 031701, 2014 | 31 | 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 | 31 | 2014 |
| A sharp error estimate for the fast Gauss transform X Wan, GE Karniadakis Journal of computational physics 219 (1), 7-12, 2006 | 30 | 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 | 28 | 2015 |
George Em KarniadakisThe Charles Pitts Robinson and John Palmer Barstow Professor of Applied Mathematics and EngineeringVerified email at brown.edu
