Xiaoliang Wan

发表

Final Technical Report - Stochastic Nonlinear Data-Reduction Methods with Detection and Prediction of Critical Rare Event

George Em Karniadakis, Guang Lin, Eric Vanden-Eijnden, 2013 .

The Wick-Malliavin Approximation of Elliptic Problems with Log-Normal Random Coefficients

Boris Rozovskii, Xiaoliang Wan, B. Rozovskii, 2013, SIAM J. Sci. Comput..

Coupling the reduced-order model and the generative model for an importance sampling estimator

Shuangqing Wei, Xiaoliang Wan, Shuangqing Wei, 2019, J. Comput. Phys..

The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications

George E. Karniadakis, Xiaoliang Wan, Jasmine Foo, 2008, J. Comput. Phys..

Stochastic simulations in computational fluid dynamics let researchers model uncertainties beyond numerical discretization errors. The authors present examples of stochastic simulations of compressible and incompressible flows and provide analytical solutions for verifying these newly emerging metho

Xiaoliang Wan, Chau-Hsing Su, Guang Lin, 2007 .

Uncertainty Quantification in Dynamic Simulations of Large-scale Power System Models using the High-Order Probabilistic Collocation Method on Sparse Grids

Guang Lin, Shuai Lu, Marcelo A. Elizondo, 2014 .

An adaptive high-order minimum action method

Xiaoliang Wan, X. Wan, 2011, J. Comput. Phys..

VAE-KRnet and its applications to variational Bayes pdf

Shuangqing Wei, Xiaoliang Wan, 2020, ArXiv.

A sharp error estimate for the fast Gauss transform

George E. Karniadakis, Xiaoliang Wan, G. Karniadakis, 2006, J. Comput. Phys..

A dynamic-solver-consistent minimum action method: With an application to 2D Navier-Stokes equations

Haijun Yu, Xiaoliang Wan, Haijun Yu, 2017, J. Comput. Phys..

A GENERAL FRAMEWORK FOR ENHANCING SPARSITY OF GENERALIZED POLYNOMIAL CHAOS EXPANSIONS

Xiu Yang, Huan Lei, Lin Lin, 2019, International Journal for Uncertainty Quantification.

Beyond Wiener–Askey Expansions: Handling Arbitrary PDFs

George E. Karniadakis, Xiaoliang Wan, G. Karniadakis, 2006, J. Sci. Comput..

Stochastic Solutions for the Two-Dimensional Advection-Diffusion Equation

Dongbin Xiu, George E. Karniadakis, Xiaoliang Wan, 2005, SIAM J. Sci. Comput..

Asymptotically Efficient Simulation of Elliptic Problems with Small Random Forcing

Xiang Zhou, Xiaoliang Wan, Xiaoping Zhou, 2018, SIAM J. Sci. Comput..

Convergence Analysis of a Finite Element Approximation of Minimum Action Methods

Haijun Yu, Xiaoliang Wan, Jiayu Zhai, 2017, SIAM J. Numer. Anal..

Optimization of Forcing Parameters of Film Cooling Effectiveness

Hessam Babaee, Sumanta Acharya, Xiaoliang Wan, 2014 .

Stochastic Computational Fluid Mechanics

Guang Lin, George E. Karniadakis, Xiaoliang Wan, 2007, Computing in Science & Engineering.

Optimization of Forcing Parameters of Film Cooling Effectiveness

Hessam Babaee, Sumanta Acharya, Xiaoliang Wan, 2013 .

A minimum action method for small random perturbations of two-dimensional parallel shear flows

Xiaoliang Wan, X. Wan, 2013, J. Comput. Phys..

Hybrid parallel computing of minimum action method

Guang Lin, Xiaoliang Wan, G. Lin, 2013, Parallel Comput..

Modeling Uncertainty In Three-dimensional HeatTransfer Problems

George Em Karniadakis, Dongbin Xiu, Xiaoliang Wan, 2004 .

A Minimum Action Method for Dynamical Systems with Constant Time Delays

Xiaoliang Wan, Jiayu Zhai, X. Wan, 2021, SIAM J. Sci. Comput..

Augmented KRnet for density estimation and approximation pdf

Xiaoliang Wan, Kejun Tang, Keju Tang, 2021, ArXiv.

Adaptive deep density approximation for Fokker-Planck equations pdf

Xiaoliang Wan, Qifeng Liao, Kejun Tang, 2021, J. Comput. Phys..

DAS: A deep adaptive sampling method for solving partial differential equations pdf

Xiaoliang Wan, Chao Yang, Kejun Tang, 2021, ArXiv.

NUMERICAL APPROXIMATION OF ELLIPTIC PROBLEMS WITH LOG-NORMAL RANDOM COEFFICIENTS

Haijun Yu, Xiaoliang Wan, Haijun Yu, 2018, International Journal for Uncertainty Quantification.

Effect of Uncertainty in Blowing Ratio on Film Cooling Effectiveness

Hessam Babaee, Sumanta Acharya, Xiaoliang Wan, 2013 .

Stochastic low-dimensional modelling of a random laminar wake past a circular cylinder

Daniele Venturi, George Em Karniadakis, Xiaoliang Wan, 2008, Journal of Fluid Mechanics.

Stochastic bifurcation analysis of Rayleigh–Bénard convection

Daniele Venturi, George Em Karniadakis, Xiaoliang Wan, 2010, Journal of Fluid Mechanics.

Adaptive multi-element polynomial chaos with discrete measure

George Em Karniadakis, Xiaoliang Wan, Mengdi Zheng, 2015 .

Wick–Malliavin approximation to nonlinear stochastic partial differential equations: analysis and simulations

Daniele Venturi, George Em Karniadakis, Xiaoliang Wan, 2013, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Elliptic equations of higher stochastic order

Sergey V. Lototsky, Xiaoliang Wan, Boris Rozovskii, 2010 .

Model the nonlinear instability of wall-bounded shear flows as a rare event: a study on two-dimensional Poiseuille flow

E Weinan, Haijun Yu, Xiaoliang Wan, 2015 .

An Hp-Adaptive Minimum Action Method Based on a Posteriori Error Estimate

Guang Lin, Xiaoliang Wan, G. Lin, 2018 .

Study of the noise-induced transition and the exploration of the phase space for the Kuramoto–Sivashinsky equation using the minimum action method

Xiaoliang Wan, Xiang Zhou, X. Wan, 2010 .

Error Control in Multi-Element Generalized Polynomial Chaos Methodfor EllipticProblemswith Random Coefficients

George Em Karniadakis, Xiaoliang Wan, G. Karniadakis, 2009 .

and simulations stochastic partial differential equations: analysis Malliavin approximation to nonlinear - Wick

Daniele Venturi, George Em Karniadakis, Xiaoliang Wan, 2013 .

A note on stochastic elliptic models

Xiaoliang Wan, Xiaoliang Wan, X. Wan, 2010 .

A Minimum Action Method with Optimal Linear Time Scaling

Xiaoliang Wan, X. Wan, 2015 .

Stochastic heat transfer enhancement in a grooved channel

George Em Karniadakis, Xiaoliang Wan, G. Karniadakis, 2006, Journal of Fluid Mechanics.