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Author ID: xiu.dongbin Recent zbMATH articles by "Xiu, Dongbin"
Published as: Xiu, Dongbin; Xiu, D.
External Links: MGP
Documents Indexed: 85 Publications since 2001, including 1 Book
Co-Authors: 65 Co-Authors with 79 Joint Publications
2,292 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

76 Publications have been cited 3,304 times in 1,721 Documents Cited by Year
The Wiener–Askey polynomial chaos for stochastic differential equations. Zbl 1014.65004
Xiu, Dongbin; Karniadakis, George Em
802
2002
High-order collocation methods for differential equations with random inputs. Zbl 1091.65006
Xiu, Dongbin; Hesthaven, Jan S.
407
2005
Numerical methods for stochastic computations. A spectral method approach. Zbl 1210.65002
Xiu, Dongbin
292
2010
Modeling uncertainty in flow simulations via generalized polynomial chaos. Zbl 1047.76111
Xiu, Dongbin; Karniadakis, George Em
267
2003
Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos. Zbl 1016.65001
Xiu, Dongbin; Karniadakis, George Em
140
2002
Fast numerical methods for stochastic computations: a review. Zbl 1364.65019
Xiu, Dongbin
112
2009
Efficient collocational approach for parametric uncertainty analysis. Zbl 1164.65302
Xiu, Dongbin
103
2007
A semi-Lagrangian high-order method for Navier-Stokes equations. Zbl 1028.76026
Xiu, Dongbin; Karniadakis, George Em
88
2001
A stochastic collocation approach to Bayesian inference in inverse problems. Zbl 1364.62064
Marzouk, Youssef; Xiu, Dongbin
71
2009
Numerical methods for differential equations in random domains. Zbl 1114.60056
Xiu, Dongbin; Tartakovsky, Daniel M.
68
2006
Galerkin method for wave equations with uncertain coefficients. Zbl 1195.65009
Gottlieb, David; Xiu, Dongbin
58
2008
Stochastic collocation algorithms using \(\ell_1\)-minimization. Zbl 1291.65024
Yan, Liang; Guo, Ling; Xiu, Dongbin
53
2012
A new stochastic approach to transient heat conduction modeling with uncertainty. Zbl 1038.80003
Xiu, Dongbin; Karniadakis, George Em
43
2003
Stochastic collocation for optimal control problems with stochastic PDE constraints. Zbl 1260.60125
Tiesler, Hanne; Kirby, Robert M.; Xiu, Dongbin; Preusser, Tobias
39
2012
Stochastic analysis of transport in tubes with rough walls. Zbl 1146.76651
Tartakovsky, Daniel M.; Xiu, Dongbin
37
2006
Efficient stochastic Galerkin methods for random diffusion equations. Zbl 1161.65008
Xiu, Dongbin; Shen, Jie
37
2009
Asymptotic-preserving methods for hyperbolic and transport equations with random inputs and diffusive scalings. Zbl 1352.65407
Jin, Shi; Xiu, Dongbin; Zhu, Xueyu
31
2015
Evaluation of failure probability via surrogate models. Zbl 1204.65010
Li, Jing; Xiu, Dongbin
30
2010
Equation-free/Galerkin-free POD-assisted computation of incompressible flows. Zbl 1213.76146
Sirisup, Sirod; Karniadakis, George Em; Xiu, Dongbin; Kevrekidis, Ioannis G.
29
2005
Data driven governing equations approximation using deep neural networks. Zbl 1455.65125
Qin, Tong; Wu, Kailiang; Xiu, Dongbin
26
2019
Stochastic collocation methods on unstructured grids in high dimensions via interpolation. Zbl 1246.65029
Narayan, Akil; Xiu, Dongbin
25
2012
A generalized polynomial chaos based ensemble Kalman filter with high accuracy. Zbl 1280.93084
Li, Jia; Xiu, Dongbin
25
2009
An efficient surrogate-based method for computing rare failure probability. Zbl 1370.65005
Li, Jing; Li, Jinglai; Xiu, Dongbin
23
2011
Characterization of discontinuities in high-dimensional stochastic problems on adaptive sparse grids. Zbl 1218.65010
Jakeman, John D.; Archibald, Richard; Xiu, Dongbin
23
2011
Computational aspects of stochastic collocation with multifidelity models. Zbl 1306.65010
Zhu, Xueyu; Narayan, Akil; Xiu, Dongbin
22
2014
An efficient spectral method for acoustic scattering from rough surfaces. Zbl 1164.65303
Xiu, Dongbin; Shen, Jie
22
2007
A stochastic collocation algorithm with multifidelity models. Zbl 1296.65013
Narayan, Akil; Gittelson, Claude; Xiu, Dongbin
20
2014
Discontinuity detection in multivariate space for stochastic simulations. Zbl 1161.65307
Archibald, Rick; Gelb, Anne; Saxena, Rishu; Xiu, Dongbin
18
2009
Minimal multi-element stochastic collocation for uncertainty quantification of discontinuous functions. Zbl 1311.65158
Jakeman, John D.; Narayan, Akil; Xiu, Dongbin
18
2013
Local polynomial chaos expansion for linear differential equations with high dimensional random inputs. Zbl 1330.65189
Chen, Yi; Jakeman, John; Gittelson, Claude; Xiu, Dongbin
18
2015
A well-balanced stochastic Galerkin method for scalar hyperbolic balance laws with random inputs. Zbl 1342.65010
Jin, Shi; Xiu, Dongbin; Zhu, Xueyu
17
2016
Numerical approach for quantification of epistemic uncertainty. Zbl 1204.65008
Jakeman, John; Eldred, Michael; Xiu, Dongbin
16
2010
Parametric uncertainty analysis of pulse wave propagation in a model of a human arterial network. Zbl 1121.92023
Xiu, Dongbin; Sherwin, Spencer J.
16
2007
Multi-fidelity stochastic collocation method for computation of statistical moments. Zbl 1378.65040
Zhu, Xueyu; Linebarger, Erin M.; Xiu, Dongbin
16
2017
A two-scale nonperturbative approach to uncertainty analysis of diffusion in random composites. Zbl 1067.60057
Xiu, Dongbin; Tartakovsky, Daniel M.
16
2004
Strong and auxiliary forms of the semi-Lagrangian method for incompressible flows. Zbl 1203.76122
Xiu, D.; Sherwin, S. J.; Dong, S.; Karniadakis, G. E.
15
2005
Supersensitivity due to uncertain boundary conditions. Zbl 1075.76623
Xiu, Dongbin; Karniadakis, George Em
15
2004
A stochastic Galerkin method for first-order quasilinear hyperbolic systems with uncertainty. Zbl 1380.65315
Wu, Kailiang; Tang, Huazhong; Xiu, Dongbin
15
2017
Numerical aspects for approximating governing equations using data. Zbl 1451.65008
Wu, Kailiang; Xiu, Dongbin
15
2019
Nonadaptive quasi-optimal points selection for least squares linear regression. Zbl 06548919
Shin, Yeonjong; Xiu, Dongbin
14
2016
Stochastic solutions for the two-dimensional advection-diffusion equation. Zbl 1075.65010
Wan, Xiaoliang; Xiu, Dongbin; Karniadakis, George Em
14
2004
Weighted discrete least-squares polynomial approximation using randomized quadratures. Zbl 1349.60086
Zhou, Tao; Narayan, Akil; Xiu, Dongbin
13
2015
Generalised polynomial chaos for a class of linear conservation laws. Zbl 1258.65008
Pulch, Roland; Xiu, Dongbin
12
2012
Numerical integration formulas of degree two. Zbl 1221.65082
Xiu, Dongbin
11
2008
Variance-based global sensitivity analysis via sparse-grid interpolation and cubature. Zbl 1364.41003
Buzzard, Gregery T.; Xiu, Dongbin
11
2011
A semi-Lagrangian method for turbulence simulations using mixed spectral discretizations. Zbl 1028.76020
Xu, Jin; Xiu, Dongbin; Karniadakis, George Em
10
2002
A stochastic Galerkin method for Hamilton-Jacobi equations with uncertainty. Zbl 1330.65179
Hu, Jingwei; Jin, Shi; Xiu, Dongbin
10
2015
Predictability and uncertainty in CFD. Zbl 1032.76662
Lucor, D.; Xiu, D.; Su, C.-H.; Karniadakis, G. E.
10
2003
A randomized algorithm for multivariate function approximation. Zbl 1366.41018
Shin, Yeonjong; Xiu, Dongbin
9
2017
Sparse approximation using \(\ell_1-\ell_2\) minimization and its application to stochastic collocation. Zbl 1381.94029
Yan, Liang; Shin, Yeonjong; Xiu, Dongbin
9
2017
On numerical properties of the ensemble Kalman filter for data assimilation. Zbl 1195.93137
Li, Jia; Xiu, Dongbin
7
2008
Performance evaluation of generalized polynomial chaos. Zbl 1188.60038
Xiu, Dongbin; Lucor, Didier; Su, C.-H.; Karniadakis, George Em
6
2003
On a near optimal sampling strategy for least squares polynomial regression. Zbl 1384.62249
Shin, Yeonjong; Xiu, Dongbin
6
2016
Constructing nested nodal sets for multivariate polynomial interpolation. Zbl 1292.65007
Narayan, Akil; Xiu, Dongbin
6
2013
A flexible numerical approach for quantification of epistemic uncertainty. Zbl 1305.65013
Chen, Xiaoxiao; Park, Eun-Jae; Xiu, Dongbin
6
2013
Numerical strategy for model correction using physical constraints. Zbl 1349.65202
He, Yanyan; Xiu, Dongbin
6
2016
A randomized tensor quadrature method for high dimensional polynomial approximation. Zbl 1373.65012
Wu, Kailiang; Shin, Yeonjong; Xiu, Dongbin
5
2017
Correcting data corruption errors for multivariate function approximation. Zbl 1348.65052
Shin, Yeonjong; Xiu, Dongbin
5
2016
Structure-preserving method for reconstructing unknown Hamiltonian systems from trajectory data. Zbl 1462.65219
Wu, Kailiang; Qin, Tong; Xiu, Dongbin
5
2020
Fast method for high-frequency acoustic scattering from random scatterers. Zbl 1465.65160
Tsuji, Paul; Xiu, Dongbin; Ying, Lexing
4
2011
On upper and lower bounds for quantity of interest in problems subject to epistemic uncertainty. Zbl 1300.65046
Li, Jing; Qi, Xin; Xiu, Dongbin
4
2014
Sequential data assimilation with multiple models. Zbl 1284.62801
Narayan, Akil; Marzouk, Youssef; Xiu, Dongbin
4
2012
Sequential function approximation with noisy data. Zbl 1415.65035
Shin, Yeonjong; Wu, Kailiang; Xiu, Dongbin
3
2018
Surrogate based method for evaluation of failure probability under multiple constraints. Zbl 1306.65012
Li, Jing; Xiu, Dongbin
3
2014
Convolution neural network shock detector for numerical solution of conservation laws. Zbl 07419160
Sun, Zheng; Wang, Shuyi; Chang, Lo-Bin; Xing, Yulong; Xiu, Dongbin
3
2020
Energy conserving Galerkin approximation of two dimensional wave equations with random coefficients. Zbl 1451.65143
Chou, Ching-Shan; Li, Yukun; Xiu, Dongbin
3
2019
Uncertainty quantification of discontinuous outputs via a non-intrusive bifidelity strategy. Zbl 1453.62796
Canuto, Claudio; Pieraccini, Sandra; Xiu, Dongbin
3
2019
Equation-free, multiscale computation for unsteady random diffusion. Zbl 1089.60040
Xiu, Dongbin; Kevrekidis, Ioannis G.
2
2005
Sequential function approximation on arbitrarily distributed point sets. Zbl 1380.65034
Wu, Kailiang; Xiu, Dongbin
2
2018
Data-driven learning of nonautonomous systems. Zbl 07364312
Qin, Tong; Chen, Zhen; Jakeman, John D.; Xiu, Dongbin
2
2021
Data-driven deep learning of partial differential equations in modal space. Zbl 07505629
Wu, Kailiang; Xiu, Dongbin
2
2020
A WENO-based stochastic Galerkin scheme for ideal MHD equations with random inputs. Zbl 1473.65217
Wu, Kailiang; Xiu, Dongbin; Zhong, Xinghui
2
2021
Error analysis for numerical formulation of particle filter. Zbl 1334.65021
Han, Xiaoying; Li, Jinglai; Xiu, Dongbin
1
2015
An efficient method for uncertainty propagation using fuzzy sets. Zbl 1327.65012
Chen, Xiaoxiao; He, Yanyan; Xiu, Dongbin
1
2015
Uncertainty quantification models for micro-scale squeeze-film damping. Zbl 1202.76122
Guo, Xiaohui; Li, Jia; Xiu, Dongbin; Alexeenko, Alina
1
2010
Distributional sensitivity for uncertainty quantification. Zbl 1364.65009
Narayan, Akil; Xiu, Dongbin
1
2011
Data-driven learning of nonautonomous systems. Zbl 07364312
Qin, Tong; Chen, Zhen; Jakeman, John D.; Xiu, Dongbin
2
2021
A WENO-based stochastic Galerkin scheme for ideal MHD equations with random inputs. Zbl 1473.65217
Wu, Kailiang; Xiu, Dongbin; Zhong, Xinghui
2
2021
Structure-preserving method for reconstructing unknown Hamiltonian systems from trajectory data. Zbl 1462.65219
Wu, Kailiang; Qin, Tong; Xiu, Dongbin
5
2020
Convolution neural network shock detector for numerical solution of conservation laws. Zbl 07419160
Sun, Zheng; Wang, Shuyi; Chang, Lo-Bin; Xing, Yulong; Xiu, Dongbin
3
2020
Data-driven deep learning of partial differential equations in modal space. Zbl 07505629
Wu, Kailiang; Xiu, Dongbin
2
2020
Data driven governing equations approximation using deep neural networks. Zbl 1455.65125
Qin, Tong; Wu, Kailiang; Xiu, Dongbin
26
2019
Numerical aspects for approximating governing equations using data. Zbl 1451.65008
Wu, Kailiang; Xiu, Dongbin
15
2019
Energy conserving Galerkin approximation of two dimensional wave equations with random coefficients. Zbl 1451.65143
Chou, Ching-Shan; Li, Yukun; Xiu, Dongbin
3
2019
Uncertainty quantification of discontinuous outputs via a non-intrusive bifidelity strategy. Zbl 1453.62796
Canuto, Claudio; Pieraccini, Sandra; Xiu, Dongbin
3
2019
Sequential function approximation with noisy data. Zbl 1415.65035
Shin, Yeonjong; Wu, Kailiang; Xiu, Dongbin
3
2018
Sequential function approximation on arbitrarily distributed point sets. Zbl 1380.65034
Wu, Kailiang; Xiu, Dongbin
2
2018
Multi-fidelity stochastic collocation method for computation of statistical moments. Zbl 1378.65040
Zhu, Xueyu; Linebarger, Erin M.; Xiu, Dongbin
16
2017
A stochastic Galerkin method for first-order quasilinear hyperbolic systems with uncertainty. Zbl 1380.65315
Wu, Kailiang; Tang, Huazhong; Xiu, Dongbin
15
2017
A randomized algorithm for multivariate function approximation. Zbl 1366.41018
Shin, Yeonjong; Xiu, Dongbin
9
2017
Sparse approximation using \(\ell_1-\ell_2\) minimization and its application to stochastic collocation. Zbl 1381.94029
Yan, Liang; Shin, Yeonjong; Xiu, Dongbin
9
2017
A randomized tensor quadrature method for high dimensional polynomial approximation. Zbl 1373.65012
Wu, Kailiang; Shin, Yeonjong; Xiu, Dongbin
5
2017
A well-balanced stochastic Galerkin method for scalar hyperbolic balance laws with random inputs. Zbl 1342.65010
Jin, Shi; Xiu, Dongbin; Zhu, Xueyu
17
2016
Nonadaptive quasi-optimal points selection for least squares linear regression. Zbl 06548919
Shin, Yeonjong; Xiu, Dongbin
14
2016
On a near optimal sampling strategy for least squares polynomial regression. Zbl 1384.62249
Shin, Yeonjong; Xiu, Dongbin
6
2016
Numerical strategy for model correction using physical constraints. Zbl 1349.65202
He, Yanyan; Xiu, Dongbin
6
2016
Correcting data corruption errors for multivariate function approximation. Zbl 1348.65052
Shin, Yeonjong; Xiu, Dongbin
5
2016
Asymptotic-preserving methods for hyperbolic and transport equations with random inputs and diffusive scalings. Zbl 1352.65407
Jin, Shi; Xiu, Dongbin; Zhu, Xueyu
31
2015
Local polynomial chaos expansion for linear differential equations with high dimensional random inputs. Zbl 1330.65189
Chen, Yi; Jakeman, John; Gittelson, Claude; Xiu, Dongbin
18
2015
Weighted discrete least-squares polynomial approximation using randomized quadratures. Zbl 1349.60086
Zhou, Tao; Narayan, Akil; Xiu, Dongbin
13
2015
A stochastic Galerkin method for Hamilton-Jacobi equations with uncertainty. Zbl 1330.65179
Hu, Jingwei; Jin, Shi; Xiu, Dongbin
10
2015
Error analysis for numerical formulation of particle filter. Zbl 1334.65021
Han, Xiaoying; Li, Jinglai; Xiu, Dongbin
1
2015
An efficient method for uncertainty propagation using fuzzy sets. Zbl 1327.65012
Chen, Xiaoxiao; He, Yanyan; Xiu, Dongbin
1
2015
Computational aspects of stochastic collocation with multifidelity models. Zbl 1306.65010
Zhu, Xueyu; Narayan, Akil; Xiu, Dongbin
22
2014
A stochastic collocation algorithm with multifidelity models. Zbl 1296.65013
Narayan, Akil; Gittelson, Claude; Xiu, Dongbin
20
2014
On upper and lower bounds for quantity of interest in problems subject to epistemic uncertainty. Zbl 1300.65046
Li, Jing; Qi, Xin; Xiu, Dongbin
4
2014
Surrogate based method for evaluation of failure probability under multiple constraints. Zbl 1306.65012
Li, Jing; Xiu, Dongbin
3
2014
Minimal multi-element stochastic collocation for uncertainty quantification of discontinuous functions. Zbl 1311.65158
Jakeman, John D.; Narayan, Akil; Xiu, Dongbin
18
2013
Constructing nested nodal sets for multivariate polynomial interpolation. Zbl 1292.65007
Narayan, Akil; Xiu, Dongbin
6
2013
A flexible numerical approach for quantification of epistemic uncertainty. Zbl 1305.65013
Chen, Xiaoxiao; Park, Eun-Jae; Xiu, Dongbin
6
2013
Stochastic collocation algorithms using \(\ell_1\)-minimization. Zbl 1291.65024
Yan, Liang; Guo, Ling; Xiu, Dongbin
53
2012
Stochastic collocation for optimal control problems with stochastic PDE constraints. Zbl 1260.60125
Tiesler, Hanne; Kirby, Robert M.; Xiu, Dongbin; Preusser, Tobias
39
2012
Stochastic collocation methods on unstructured grids in high dimensions via interpolation. Zbl 1246.65029
Narayan, Akil; Xiu, Dongbin
25
2012
Generalised polynomial chaos for a class of linear conservation laws. Zbl 1258.65008
Pulch, Roland; Xiu, Dongbin
12
2012
Sequential data assimilation with multiple models. Zbl 1284.62801
Narayan, Akil; Marzouk, Youssef; Xiu, Dongbin
4
2012
An efficient surrogate-based method for computing rare failure probability. Zbl 1370.65005
Li, Jing; Li, Jinglai; Xiu, Dongbin
23
2011
Characterization of discontinuities in high-dimensional stochastic problems on adaptive sparse grids. Zbl 1218.65010
Jakeman, John D.; Archibald, Richard; Xiu, Dongbin
23
2011
Variance-based global sensitivity analysis via sparse-grid interpolation and cubature. Zbl 1364.41003
Buzzard, Gregery T.; Xiu, Dongbin
11
2011
Fast method for high-frequency acoustic scattering from random scatterers. Zbl 1465.65160
Tsuji, Paul; Xiu, Dongbin; Ying, Lexing
4
2011
Distributional sensitivity for uncertainty quantification. Zbl 1364.65009
Narayan, Akil; Xiu, Dongbin
1
2011
Numerical methods for stochastic computations. A spectral method approach. Zbl 1210.65002
Xiu, Dongbin
292
2010
Evaluation of failure probability via surrogate models. Zbl 1204.65010
Li, Jing; Xiu, Dongbin
30
2010
Numerical approach for quantification of epistemic uncertainty. Zbl 1204.65008
Jakeman, John; Eldred, Michael; Xiu, Dongbin
16
2010
Uncertainty quantification models for micro-scale squeeze-film damping. Zbl 1202.76122
Guo, Xiaohui; Li, Jia; Xiu, Dongbin; Alexeenko, Alina
1
2010
Fast numerical methods for stochastic computations: a review. Zbl 1364.65019
Xiu, Dongbin
112
2009
A stochastic collocation approach to Bayesian inference in inverse problems. Zbl 1364.62064
Marzouk, Youssef; Xiu, Dongbin
71
2009
Efficient stochastic Galerkin methods for random diffusion equations. Zbl 1161.65008
Xiu, Dongbin; Shen, Jie
37
2009
A generalized polynomial chaos based ensemble Kalman filter with high accuracy. Zbl 1280.93084
Li, Jia; Xiu, Dongbin
25
2009
Discontinuity detection in multivariate space for stochastic simulations. Zbl 1161.65307
Archibald, Rick; Gelb, Anne; Saxena, Rishu; Xiu, Dongbin
18
2009
Galerkin method for wave equations with uncertain coefficients. Zbl 1195.65009
Gottlieb, David; Xiu, Dongbin
58
2008
Numerical integration formulas of degree two. Zbl 1221.65082
Xiu, Dongbin
11
2008
On numerical properties of the ensemble Kalman filter for data assimilation. Zbl 1195.93137
Li, Jia; Xiu, Dongbin
7
2008
Efficient collocational approach for parametric uncertainty analysis. Zbl 1164.65302
Xiu, Dongbin
103
2007
An efficient spectral method for acoustic scattering from rough surfaces. Zbl 1164.65303
Xiu, Dongbin; Shen, Jie
22
2007
Parametric uncertainty analysis of pulse wave propagation in a model of a human arterial network. Zbl 1121.92023
Xiu, Dongbin; Sherwin, Spencer J.
16
2007
Numerical methods for differential equations in random domains. Zbl 1114.60056
Xiu, Dongbin; Tartakovsky, Daniel M.
68
2006
Stochastic analysis of transport in tubes with rough walls. Zbl 1146.76651
Tartakovsky, Daniel M.; Xiu, Dongbin
37
2006
High-order collocation methods for differential equations with random inputs. Zbl 1091.65006
Xiu, Dongbin; Hesthaven, Jan S.
407
2005
Equation-free/Galerkin-free POD-assisted computation of incompressible flows. Zbl 1213.76146
Sirisup, Sirod; Karniadakis, George Em; Xiu, Dongbin; Kevrekidis, Ioannis G.
29
2005
Strong and auxiliary forms of the semi-Lagrangian method for incompressible flows. Zbl 1203.76122
Xiu, D.; Sherwin, S. J.; Dong, S.; Karniadakis, G. E.
15
2005
Equation-free, multiscale computation for unsteady random diffusion. Zbl 1089.60040
Xiu, Dongbin; Kevrekidis, Ioannis G.
2
2005
A two-scale nonperturbative approach to uncertainty analysis of diffusion in random composites. Zbl 1067.60057
Xiu, Dongbin; Tartakovsky, Daniel M.
16
2004
Supersensitivity due to uncertain boundary conditions. Zbl 1075.76623
Xiu, Dongbin; Karniadakis, George Em
15
2004
Stochastic solutions for the two-dimensional advection-diffusion equation. Zbl 1075.65010
Wan, Xiaoliang; Xiu, Dongbin; Karniadakis, George Em
14
2004
Modeling uncertainty in flow simulations via generalized polynomial chaos. Zbl 1047.76111
Xiu, Dongbin; Karniadakis, George Em
267
2003
A new stochastic approach to transient heat conduction modeling with uncertainty. Zbl 1038.80003
Xiu, Dongbin; Karniadakis, George Em
43
2003
Predictability and uncertainty in CFD. Zbl 1032.76662
Lucor, D.; Xiu, D.; Su, C.-H.; Karniadakis, G. E.
10
2003
Performance evaluation of generalized polynomial chaos. Zbl 1188.60038
Xiu, Dongbin; Lucor, Didier; Su, C.-H.; Karniadakis, George Em
6
2003
The Wiener–Askey polynomial chaos for stochastic differential equations. Zbl 1014.65004
Xiu, Dongbin; Karniadakis, George Em
802
2002
Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos. Zbl 1016.65001
Xiu, Dongbin; Karniadakis, George Em
140
2002
A semi-Lagrangian method for turbulence simulations using mixed spectral discretizations. Zbl 1028.76020
Xu, Jin; Xiu, Dongbin; Karniadakis, George Em
10
2002
A semi-Lagrangian high-order method for Navier-Stokes equations. Zbl 1028.76026
Xiu, Dongbin; Karniadakis, George Em
88
2001
all top 5

Cited by 2,529 Authors

43 Karniadakis, George Em
40 Xiu, Dongbin
37 Narayan, Akil C.
35 Lin, Guang
30 Doostan, Alireza
25 Ghanem, Roger G.
25 Le Maître, Olivier P.
24 Zabaras, Nicholas J.
23 Jin, Shi
22 Zhou, Tao
21 Nobile, Fabio
18 Pulch, Roland
17 Marzouk, Youssef M.
17 Matthies, Hermann Georg
16 Cortés López, Juan Carlos
16 Iaccarino, Gianluca
16 Jakeman, John Davis
16 Najm, Habib N.
16 Tempone, Raúl F.
15 Lucor, Didier
15 Nouy, Anthony
15 Willcox, Karen E.
14 Harbrecht, Helmut
14 Knio, Omar M.
14 Tartakovsky, Daniel M.
13 Chen, Peng
12 Congedo, Pietro Marco
12 Guo, Ling
12 Peherstorfer, Benjamin
12 Schwab, Christoph
12 Sudret, Bruno
12 Zhang, Dongxiao
11 Elman, Howard C.
11 Jornet, Marc
11 Liu, Liu
11 Pareschi, Lorenzo
11 Tamellini, Lorenzo
10 Alexanderian, Alen
10 Jiang, Lijian
10 Keshavarzzadeh, Vahid
10 Li, Jinglai
10 Nordström, Jan
10 Phipps, Eric T.
10 Soize, Christian
10 Venturi, Daniele
10 Wang, Chong
10 Witteveen, Jeroen A. S.
10 Yang, Xiu
10 Zhang, Zhiwen
9 Salvetti, Maria Vittoria
9 Tartakovsky, Alexandre M.
9 Vega, José Manuel
9 Wan, Xiaoliang
9 Webster, Clayton G.
9 Zanella, Mattia
9 Zhu, Xueyu
8 Aluru, Narayana R.
8 Calatayud, Julia
8 Chen, Wei
8 Gunzburger, Max D.
8 Hampton, Jerrad
8 Hou, Thomas Yizhao
8 Nair, Prasanth B.
8 Poëtte, Gaël
8 Raisee, Mehrdad
8 Sagaut, Pierre
8 Sapsis, Themistoklis P.
8 Seaïd, Mohammed
8 Wu, Kailiang
8 Yan, Liang
7 Adhikari, Sondipon
7 Arnst, Maarten
7 Bak, Soyoon
7 Bilionis, Ilias
7 Constantine, Paul G.
7 Frank, Martin
7 Geraci, Gianluca
7 Gibou, Frédéric
7 Grigoriu, Mircea D.
7 Hesthaven, Jan S.
7 Kevrekidis, Ioannis George
7 Kim, Philsu
7 Li, Qin
7 Motamed, Mohammad
7 Peters, Michael D.
7 Quarteroni, Alfio M.
7 Sabelfeld, Karl Karlovich
6 Abgrall, Rémi
6 Adcock, Ben
6 Chen-Charpentier, Benito M.
6 El-Amrani, Mofdi
6 Ganapathysubramanian, Baskar
6 Ghattas, Omar N.
6 Krämer, Boris
6 Kusch, Jonas
6 Lermusiaux, Pierre F. J.
6 Li, Jing
6 Mariotti, Alessandro
6 Min, Chohong
6 Oden, John Tinsley
...and 2,429 more Authors
all top 5

Cited in 227 Serials

347 Journal of Computational Physics
202 Computer Methods in Applied Mechanics and Engineering
97 SIAM/ASA Journal on Uncertainty Quantification
90 SIAM Journal on Scientific Computing
63 Journal of Scientific Computing
42 International Journal for Numerical Methods in Engineering
41 Computers and Fluids
37 Journal of Computational and Applied Mathematics
31 Applied Mathematical Modelling
26 Applied Mathematics and Computation
26 Computational Geosciences
24 Computers & Mathematics with Applications
20 Computational Mechanics
19 Applied Numerical Mathematics
18 Numerische Mathematik
17 Multiscale Modeling & Simulation
15 International Journal of Computer Mathematics
14 Mathematics and Computers in Simulation
14 SIAM Journal on Numerical Analysis
14 Communications in Computational Physics
13 Engineering Analysis with Boundary Elements
12 Mathematical Problems in Engineering
11 Automatica
10 Advances in Computational Mathematics
10 International Journal of Computational Methods
8 Journal of Engineering Mathematics
8 Structural and Multidisciplinary Optimization
8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 Acta Mechanica
7 Journal of Fluid Mechanics
7 BIT
7 Physica D
7 SIAM Review
7 Nonlinear Dynamics
7 Communications in Nonlinear Science and Numerical Simulation
7 Archives of Computational Methods in Engineering
7 Foundations of Computational Mathematics
6 Inverse Problems
6 Mathematics of Computation
6 Chaos, Solitons and Fractals
6 SIAM Journal on Control and Optimization
6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
6 Numerical Algorithms
6 SIAM Journal on Applied Dynamical Systems
6 Stochastic and Partial Differential Equations. Analysis and Computations
5 Numerical Methods for Partial Differential Equations
5 European Journal of Mechanics. A. Solids
5 European Journal of Mechanics. B. Fluids
5 Mathematical Modelling of Natural Phenomena
5 Advances in Applied Mathematics and Mechanics
5 Journal of Mathematics in Industry
5 East Asian Journal on Applied Mathematics
5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 Journal of Mathematical Analysis and Applications
4 Journal of Mathematical Biology
4 Journal of Statistical Physics
4 Mathematical Biosciences
4 Theoretical and Computational Fluid Dynamics
4 Journal of Differential Equations
4 European Journal of Applied Mathematics
4 Linear Algebra and its Applications
4 Computational and Applied Mathematics
4 Computing and Visualization in Science
4 Abstract and Applied Analysis
4 Combustion Theory and Modelling
4 Journal of Applied Mathematics
4 Journal of Machine Learning Research (JMLR)
4 Acta Numerica
4 International Journal of Numerical Analysis and Modeling
3 International Journal of Heat and Mass Transfer
3 Bulletin of Mathematical Biology
3 Fuzzy Sets and Systems
3 Journal of the American Statistical Association
3 Constructive Approximation
3 Mathematical and Computer Modelling
3 SIAM Journal on Optimization
3 Computational Optimization and Applications
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Multibody System Dynamics
3 Vietnam Journal of Mathematics
3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 Stochastic Environmental Research and Risk Assessment
3 Optimization and Engineering
3 Discrete and Continuous Dynamical Systems. Series B
3 Journal of Computational Acoustics
3 Stochastics
3 Acta Mechanica Sinica
3 Kinetic and Related Models
3 GEM - International Journal on Geomathematics
3 The Journal of Mathematical Neuroscience
3 Statistics and Computing
3 Research in the Mathematical Sciences
3 Communications on Applied Mathematics and Computation
2 Computer Physics Communications
2 International Journal of Control
2 Journal of the Franklin Institute
2 Mathematical Methods in the Applied Sciences
2 Physica A
2 Physics Reports
2 Journal of Optimization Theory and Applications
...and 127 more Serials
all top 5

Cited in 43 Fields

1,130 Numerical analysis (65-XX)
469 Partial differential equations (35-XX)
442 Probability theory and stochastic processes (60-XX)
366 Fluid mechanics (76-XX)
284 Statistics (62-XX)
207 Mechanics of deformable solids (74-XX)
97 Biology and other natural sciences (92-XX)
86 Systems theory; control (93-XX)
85 Computer science (68-XX)
71 Dynamical systems and ergodic theory (37-XX)
71 Calculus of variations and optimal control; optimization (49-XX)
67 Approximations and expansions (41-XX)
61 Ordinary differential equations (34-XX)
60 Operations research, mathematical programming (90-XX)
51 Geophysics (86-XX)
46 Optics, electromagnetic theory (78-XX)
40 Statistical mechanics, structure of matter (82-XX)
30 Classical thermodynamics, heat transfer (80-XX)
29 Mechanics of particles and systems (70-XX)
28 Information and communication theory, circuits (94-XX)
20 Special functions (33-XX)
20 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
17 Harmonic analysis on Euclidean spaces (42-XX)
8 Functional analysis (46-XX)
8 Operator theory (47-XX)
8 Quantum theory (81-XX)
7 Integral equations (45-XX)
5 Combinatorics (05-XX)
5 Global analysis, analysis on manifolds (58-XX)
3 General and overarching topics; collections (00-XX)
3 Mathematical logic and foundations (03-XX)
3 Real functions (26-XX)
2 Measure and integration (28-XX)
2 Functions of a complex variable (30-XX)
2 Difference and functional equations (39-XX)
2 Differential geometry (53-XX)
1 Number theory (11-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Integral transforms, operational calculus (44-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year