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Xiaoliang Wan
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Year
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
7332005
Multi-element generalized polynomial chaos for arbitrary probability measures
X Wan, GE Karniadakis
SIAM Journal on Scientific Computing 28 (3), 901-928, 2006
5952006
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
2882008
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
2212006
Beyond Wiener–Askey expansions: handling arbitrary pdfs
X Wan, GE Karniadakis
Journal of Scientific Computing 27, 455-464, 2006
2052006
Stochastic bifurcation analysis of Rayleigh–Bénard convection
D Venturi, X Wan, GE Karniadakis
Journal of fluid mechanics 650, 391-413, 2010
762010
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
662004
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
632008
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
592023
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
552009
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
502009
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
442009
Stochastic computational fluid mechanics
G Lin, X Wan, CH Su, GE Karniadakis
Computing in Science & Engineering 9 (2), 21-29, 2007
392007
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
362018
Stochastic heat transfer enhancement in a grooved channel
X Wan, GE Karniadakis
Journal of Fluid Mechanics 565, 255-278, 2006
352006
Adaptive deep density approximation for Fokker-Planck equations
K Tang, X Wan, Q Liao
Journal of Computational Physics 457, 111080, 2022
342022
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
302015
Effect of Uncertainty in Blowing Ratio on Film Cooling Effectiveness
H Babaee, X Wan, S Acharya
Journal of Heat Transfer 136 (3), 031701, 2014
302014
Effect of Uncertainty in Blowing Ratio on Film Cooling Effectiveness
H Babaee, X Wan, S Acharya
Journal of Heat Transfer 136 (3), 031701, 2014
302014
A sharp error estimate for the fast Gauss transform
X Wan, GE Karniadakis
Journal of computational physics 219 (1), 7-12, 2006
302006
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Articles 1–20