Dongbin Xiu

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George Em KarniadakisThe Charles Pitts Robinson and John Palmer Barstow Professor of Applied Mathematics and EngineeringVerified email at brown.edu
Akil NarayanUniversity of UtahVerified email at sci.utah.edu
Tong QinApplied Scientist-Lab126@AmazonVerified email at amazon.com
John JakemanPrincipal Member of Technical Staff, Sandia National LaboratoriesVerified email at sandia.gov
Daniel M. TartakovskyStanford UniversityVerified email at stanford.edu
Yeonjong ShinNorth Carolina State UniversityVerified email at ncsu.edu
Didier LucorSenior researcher, CNRS, LISN, Orsay, FranceVerified email at lisn.upsaclay.fr
Li JingZhejiang LabVerified email at zhejianglab.com
Zhen ChenExxonMobil Technology and Engineering CompanyVerified email at exxonmobil.com
xueyu zhuAssociate Professor, Department of Mathematics, University of IowaVerified email at uiowa.edu
Jan S HesthavenProfessor of Mathematics and Provost, Ecole Polytechnique Federale de Lausanne (EPFL)Verified email at epfl.ch
Victor ChurchillDepartment of Mathematics, Trinity CollegeVerified email at trincoll.edu
Robert M. Kirby OR R.M. KirbySchool of Computing, University of UtahVerified email at cs.utah.edu
Youssef MarzoukProfessor, Massachusetts Institute of TechnologyVerified email at mit.edu
Ioannis KevrekidisProfessor, Chemical Engineering & Applied MathematicsVerified email at jhu.edu
Shi JinShanghai Jiao Tong UniversityVerified email at sjtu.edu.cn
Yuan ChenDepartment of Mathematics, The Ohio State UniversityVerified email at osu.edu
Ching-Shan ChouOhio State UniversityVerified email at math.ohio-state.edu
Liang YanSoutheast UniversityVerified email at seu.edu.cn
Jie ShenChair Professor, Eastern Institute of Technology, Ningbo, 315200, ChinaVerified email at eitech.edu.cn

Dongbin Xiu

Professor of Mathematics, The Ohio State University

Verified email at osu.edu - Homepage

applied and computational mathematics uncertainty quantification


Title Sort by citations Sort by year Sort by title	Cited by Cited by	Year
The Wiener-Askey polynomial chaos for stochastic differential equations D Xiu, GE Karniadakis SIAM Journal on Scientific Computing 24 (2), 614-644, 2002	5997	2002
Numerical methods for stochastic computations: a spectral method approach D Xiu Princeton university press, 2010	2398	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	2004	2005
Modeling uncertainty in flow simulations via generalized polynomial chaos D Xiu, GE Karniadakis Journal of computational physics 187 (1), 137-167, 2003	1812	2003
Fast numerical methods for stochastic computations: a review D Xiu Communications in Computational Physics 5 (2-4), 242-272, 2009	891	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	757	2002
Efficient collocational approach for parametric uncertainty analysis D Xiu Communications in Computational Physics 2 (2), 293-309, 2007	582	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	379	2002
A stochastic collocation approach to Bayesian inference in inverse problems Y Marzouk, D Xiu Communications in Computational Physics 6 (4), 826-847, 2009	358	2009
Data driven governing equations approximation using deep neural networks T Qin, K Wu, D Xiu Journal of Computational Physics 395, 620-635, 2019	344	2019
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	291	2003
A semi-Lagrangian high-order method for Navier-Stokes equations D Xiu, GE Karniadakis Journal of Computational Physics 172 (2), 658-684, 2001	245	2001
Numerical methods for differential equations in random domains D Xiu, DM Tartakovsky SIAM Journal on Scientific Computing 28 (3), 1167-1185, 2006	240	2006
Evaluation of failure probability via surrogate models J Li, D Xiu Journal of Computational Physics 229 (23), 8966-8980, 2010	195	2010
Galerkin method for wave equations with uncertain coefficients D Gottlieb, D Xiu Communications in Computational Physics 3 (2), 505-518, 2008	183	2008
A stochastic collocation algorithm with multifidelity models A Narayan, C Gittelson, D Xiu SIAM Journal on Scientific Computing 36 (2), A495-A521, 2014	177	2014
Data-driven deep learning of partial differential equations in modal space K Wu, D Xiu Journal of Computational Physics 408, 109307, 2020	175	2020
A generalized polynomial chaos based ensemble Kalman filter with high accuracy J Li, D Xiu Journal of Computational Physics 228 (15), 5454-5469, 2009	173	2009
Stochastic Collocation Algorithms using l1--Minimization L Yan, L Guo, D Xiu International Journal for Uncertainty Quantification 2 (3), 279-293, 2012	152	2012
Numerical approach for quantification of epistemic uncertainty J Jakeman, M Eldred, D Xiu Journal of Computational Physics 229 (12), 4648-4663, 2010	135	2010

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