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## Xiu, Dongbin

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 Author ID: xiu.dongbin Published as: Xiu, Dongbin; Xiu, D. External Links: MGP
 Documents Indexed: 78 Publications since 2001, including 1 Book
all top 5

#### Co-Authors

 4 single-authored 12 Karniadakis, George Em 9 Wu, Kailiang 8 Narayan, Akil C. 7 Shin, Yeonjong 5 Jakeman, John Davis 5 Li, Jing 4 Zhu, Xueyu 3 Jin, Shi 3 Qin, Tong 3 Tartakovsky, Daniel M. 2 Chen, Xiaoxiao 2 Chen, Zhen 2 Chou, Ching-Shan 2 Gittelson, Claude Jeffrey 2 He, Yanyan 2 Kevrekidis, Ioannis George 2 Li, Jinglai 2 Lucor, Didier 2 Marzouk, Youssef M. 2 Shen, Jie 2 Sherwin, Spencer J. 2 Su, Chau-Hsing 2 Yan, Liang 1 Alexeenko, Alina A. 1 Archibald, Richard 1 Archibald, Rick 1 Buzzard, Gregery T. 1 Canuto, Claudio 1 Chen, Yi 1 Dong, Suchuan 1 Eldred, Michael S. 1 Gelb, Anne 1 Geneser, Sarah E. 1 Guo, Ling 1 Guo, Xiaohui 1 Han, Xiaoying 1 Hesthaven, Jan S. 1 Hu, Jingwei 1 Li, Yukun 1 Linebarger, Erin M. 1 Park, Eun-Jae 1 Pieraccini, Sandra 1 Preusser, Tobias 1 Pulch, Roland 1 Qi, Xin 1 Sachse, Frank B. 1 Saxena, Rishu 1 Sirisup, Sirod 1 Su, Wei-Hung 1 Tang, Huazhong 1 Tiesler, Hanne 1 Tsuji, Paul 1 Wan, Xiaoliang 1 Xu, Jin 1 Ying, Lexing 1 Zhou, Tao
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#### Serials

 27 Journal of Computational Physics 20 SIAM Journal on Scientific Computing 7 Communications in Computational Physics 5 Journal of Scientific Computing 2 Computer Methods in Applied Mechanics and Engineering 2 International Journal for Numerical Methods in Engineering 2 Multiscale Modeling & Simulation 2 International Journal for Uncertainty Quantification 1 International Journal of Heat and Mass Transfer 1 International Journal for Numerical Methods in Fluids 1 Bulletin of Mathematical Biology 1 SIAM Journal on Control and Optimization 1 Applied Numerical Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Theoretical Biology 1 SIAM/ASA Journal on Uncertainty Quantification 1 Communications on Applied Mathematics and Computation
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#### Fields

 60 Numerical analysis (65-XX) 30 Probability theory and stochastic processes (60-XX) 18 Partial differential equations (35-XX) 13 Approximations and expansions (41-XX) 11 Statistics (62-XX) 10 Fluid mechanics (76-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Computer science (68-XX) 3 Ordinary differential equations (34-XX) 3 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

67 Publications have been cited 2,824 times in 1,458 Documents Cited by Year
The Wiener–Askey polynomial chaos for stochastic differential equations. Zbl 1014.65004
2002
High-order collocation methods for differential equations with random inputs. Zbl 1091.65006
Xiu, Dongbin; Hesthaven, Jan S.
2005
Numerical methods for stochastic computations. A spectral method approach. Zbl 1210.65002
Xiu, Dongbin
2010
Modeling uncertainty in flow simulations via generalized polynomial chaos. Zbl 1047.76111
2003
Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos. Zbl 1016.65001
2002
Fast numerical methods for stochastic computations: a review. Zbl 1364.65019
Xiu, Dongbin
2009
Efficient collocational approach for parametric uncertainty analysis. Zbl 1164.65302
Xiu, Dongbin
2007
A semi-Lagrangian high-order method for Navier-Stokes equations. Zbl 1028.76026
2001
Numerical methods for differential equations in random domains. Zbl 1114.60056
Xiu, Dongbin; Tartakovsky, Daniel M.
2006
A stochastic collocation approach to Bayesian inference in inverse problems. Zbl 1364.62064
Marzouk, Youssef; Xiu, Dongbin
2009
Stochastic collocation algorithms using $$\ell_1$$-minimization. Zbl 1291.65024
Yan, Liang; Guo, Ling; Xiu, Dongbin
2012
Galerkin method for wave equations with uncertain coefficients. Zbl 1195.65009
Gottlieb, David; Xiu, Dongbin
2008
A new stochastic approach to transient heat conduction modeling with uncertainty. Zbl 1038.80003
2003
Stochastic analysis of transport in tubes with rough walls. Zbl 1146.76651
Tartakovsky, Daniel M.; Xiu, Dongbin
2006
Efficient stochastic Galerkin methods for random diffusion equations. Zbl 1161.65008
Xiu, Dongbin; Shen, Jie
2009
Asymptotic-preserving methods for hyperbolic and transport equations with random inputs and diffusive scalings. Zbl 1352.65407
Jin, Shi; Xiu, Dongbin; Zhu, Xueyu
2015
Evaluation of failure probability via surrogate models. Zbl 1204.65010
Li, Jing; Xiu, Dongbin
2010
Stochastic collocation for optimal control problems with stochastic PDE constraints. Zbl 1260.60125
Tiesler, Hanne; Kirby, Robert M.; Xiu, Dongbin; Preusser, Tobias
2012
Equation-free/Galerkin-free POD-assisted computation of incompressible flows. Zbl 1213.76146
Sirisup, Sirod; Karniadakis, George Em; Xiu, Dongbin; Kevrekidis, Ioannis G.
2005
A generalized polynomial chaos based ensemble Kalman filter with high accuracy. Zbl 1280.93084
Li, Jia; Xiu, Dongbin
2009
Characterization of discontinuities in high-dimensional stochastic problems on adaptive sparse grids. Zbl 1218.65010
Jakeman, John D.; Archibald, Richard; Xiu, Dongbin
2011
An efficient surrogate-based method for computing rare failure probability. Zbl 1370.65005
Li, Jing; Li, Jinglai; Xiu, Dongbin
2011
An efficient spectral method for acoustic scattering from rough surfaces. Zbl 1164.65303
Xiu, Dongbin; Shen, Jie
2007
Stochastic collocation methods on unstructured grids in high dimensions via interpolation. Zbl 1246.65029
Narayan, Akil; Xiu, Dongbin
2012
Discontinuity detection in multivariate space for stochastic simulations. Zbl 1161.65307
Archibald, Rick; Gelb, Anne; Saxena, Rishu; Xiu, Dongbin
2009
Computational aspects of stochastic collocation with multifidelity models. Zbl 1306.65010
Zhu, Xueyu; Narayan, Akil; Xiu, Dongbin
2014
Minimal multi-element stochastic collocation for uncertainty quantification of discontinuous functions. Zbl 1311.65158
Jakeman, John D.; Narayan, Akil; Xiu, Dongbin
2013
A two-scale nonperturbative approach to uncertainty analysis of diffusion in random composites. Zbl 1067.60057
Xiu, Dongbin; Tartakovsky, Daniel M.
2004
Local polynomial chaos expansion for linear differential equations with high dimensional random inputs. Zbl 1330.65189
Chen, Yi; Jakeman, John; Gittelson, Claude; Xiu, Dongbin
2015
Supersensitivity due to uncertain boundary conditions. Zbl 1075.76623
2004
A stochastic collocation algorithm with multifidelity models. Zbl 1296.65013
Narayan, Akil; Gittelson, Claude; Xiu, Dongbin
2014
Numerical approach for quantification of epistemic uncertainty. Zbl 1204.65008
Jakeman, John; Eldred, Michael; Xiu, Dongbin
2010
Parametric uncertainty analysis of pulse wave propagation in a model of a human arterial network. Zbl 1121.92023
Xiu, Dongbin; Sherwin, Spencer J.
2007
Multi-fidelity stochastic collocation method for computation of statistical moments. Zbl 1378.65040
Zhu, Xueyu; Linebarger, Erin M.; Xiu, Dongbin
2017
Weighted discrete least-squares polynomial approximation using randomized quadratures. Zbl 1349.60086
Zhou, Tao; Narayan, Akil; Xiu, Dongbin
2015
Stochastic solutions for the two-dimensional advection-diffusion equation. Zbl 1075.65010
Wan, Xiaoliang; Xiu, Dongbin; Karniadakis, George Em
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.
2005
A well-balanced stochastic Galerkin method for scalar hyperbolic balance laws with random inputs. Zbl 1342.65010
Jin, Shi; Xiu, Dongbin; Zhu, Xueyu
2016
Variance-based global sensitivity analysis via sparse-grid interpolation and cubature. Zbl 1364.41003
Buzzard, Gregery T.; Xiu, Dongbin
2011
Numerical integration formulas of degree two. Zbl 1221.65082
Xiu, Dongbin
2008
Predictability and uncertainty in CFD. Zbl 1032.76662
Lucor, D.; Xiu, D.; Su, C.-H.; Karniadakis, G. E.
2003
A semi-Lagrangian method for turbulence simulations using mixed spectral discretizations. Zbl 1028.76020
Xu, Jin; Xiu, Dongbin; Karniadakis, George Em
2002
Generalised polynomial chaos for a class of linear conservation laws. Zbl 1258.65008
Pulch, Roland; Xiu, Dongbin
2012
A randomized algorithm for multivariate function approximation. Zbl 1366.41018
Shin, Yeonjong; Xiu, Dongbin
2017
A stochastic Galerkin method for Hamilton-Jacobi equations with uncertainty. Zbl 1330.65179
Hu, Jingwei; Jin, Shi; Xiu, Dongbin
2015
On numerical properties of the ensemble Kalman filter for data assimilation. Zbl 1195.93137
Li, Jia; Xiu, Dongbin
2008
A stochastic Galerkin method for first-order quasilinear hyperbolic systems with uncertainty. Zbl 1380.65315
Wu, Kailiang; Tang, Huazhong; Xiu, Dongbin
2017
Sparse approximation using $$\ell_1-\ell_2$$ minimization and its application to stochastic collocation. Zbl 1381.94029
Yan, Liang; Shin, Yeonjong; Xiu, Dongbin
2017
Performance evaluation of generalized polynomial chaos. Zbl 1188.60038
Xiu, Dongbin; Lucor, Didier; Su, C.-H.; Karniadakis, George Em
2003
Constructing nested nodal sets for multivariate polynomial interpolation. Zbl 1292.65007
Narayan, Akil; Xiu, Dongbin
2013
Correcting data corruption errors for multivariate function approximation. Zbl 1348.65052
Shin, Yeonjong; Xiu, Dongbin
2016
On a near optimal sampling strategy for least squares polynomial regression. Zbl 1384.62249
Shin, Yeonjong; Xiu, Dongbin
2016
A randomized tensor quadrature method for high dimensional polynomial approximation. Zbl 1373.65012
Wu, Kailiang; Shin, Yeonjong; Xiu, Dongbin
2017
A flexible numerical approach for quantification of epistemic uncertainty. Zbl 1305.65013
Chen, Xiaoxiao; Park, Eun-Jae; Xiu, Dongbin
2013
Numerical aspects for approximating governing equations using data. Zbl 1451.65008
Wu, Kailiang; Xiu, Dongbin
2019
Numerical strategy for model correction using physical constraints. Zbl 1349.65202
He, Yanyan; Xiu, Dongbin
2016
Sequential data assimilation with multiple models. Zbl 1284.62801
Narayan, Akil; Marzouk, Youssef; Xiu, Dongbin
2012
On upper and lower bounds for quantity of interest in problems subject to epistemic uncertainty. Zbl 1300.65046
Li, Jing; Qi, Xin; Xiu, Dongbin
2014
Surrogate based method for evaluation of failure probability under multiple constraints. Zbl 1306.65012
Li, Jing; Xiu, Dongbin
2014
Sequential function approximation with noisy data. Zbl 1415.65035
Shin, Yeonjong; Wu, Kailiang; Xiu, Dongbin
2018
Sequential function approximation on arbitrarily distributed point sets. Zbl 1380.65034
Wu, Kailiang; Xiu, Dongbin
2018
An efficient method for uncertainty propagation using fuzzy sets. Zbl 1327.65012
Chen, Xiaoxiao; He, Yanyan; Xiu, Dongbin
2015
Distributional sensitivity for uncertainty quantification. Zbl 1364.65009
Narayan, Akil; Xiu, Dongbin
2011
Equation-free, multiscale computation for unsteady random diffusion. Zbl 1089.60040
Xiu, Dongbin; Kevrekidis, Ioannis G.
2005
Uncertainty quantification models for micro-scale squeeze-film damping. Zbl 1202.76122
Guo, Xiaohui; Li, Jia; Xiu, Dongbin; Alexeenko, Alina
2010
Energy conserving Galerkin approximation of two dimensional wave equations with random coefficients. Zbl 1451.65143
Chou, Ching-Shan; Li, Yukun; Xiu, Dongbin
2019
Data driven governing equations approximation using deep neural networks. Zbl 1455.65125
Qin, Tong; Wu, Kailiang; Xiu, Dongbin
2019
Numerical aspects for approximating governing equations using data. Zbl 1451.65008
Wu, Kailiang; Xiu, Dongbin
2019
Energy conserving Galerkin approximation of two dimensional wave equations with random coefficients. Zbl 1451.65143
Chou, Ching-Shan; Li, Yukun; Xiu, Dongbin
2019
Data driven governing equations approximation using deep neural networks. Zbl 1455.65125
Qin, Tong; Wu, Kailiang; Xiu, Dongbin
2019
Sequential function approximation with noisy data. Zbl 1415.65035
Shin, Yeonjong; Wu, Kailiang; Xiu, Dongbin
2018
Sequential function approximation on arbitrarily distributed point sets. Zbl 1380.65034
Wu, Kailiang; Xiu, Dongbin
2018
Multi-fidelity stochastic collocation method for computation of statistical moments. Zbl 1378.65040
Zhu, Xueyu; Linebarger, Erin M.; Xiu, Dongbin
2017
A randomized algorithm for multivariate function approximation. Zbl 1366.41018
Shin, Yeonjong; Xiu, Dongbin
2017
A stochastic Galerkin method for first-order quasilinear hyperbolic systems with uncertainty. Zbl 1380.65315
Wu, Kailiang; Tang, Huazhong; Xiu, Dongbin
2017
Sparse approximation using $$\ell_1-\ell_2$$ minimization and its application to stochastic collocation. Zbl 1381.94029
Yan, Liang; Shin, Yeonjong; Xiu, Dongbin
2017
A randomized tensor quadrature method for high dimensional polynomial approximation. Zbl 1373.65012
Wu, Kailiang; Shin, Yeonjong; Xiu, Dongbin
2017
A well-balanced stochastic Galerkin method for scalar hyperbolic balance laws with random inputs. Zbl 1342.65010
Jin, Shi; Xiu, Dongbin; Zhu, Xueyu
2016
Correcting data corruption errors for multivariate function approximation. Zbl 1348.65052
Shin, Yeonjong; Xiu, Dongbin
2016
On a near optimal sampling strategy for least squares polynomial regression. Zbl 1384.62249
Shin, Yeonjong; Xiu, Dongbin
2016
Numerical strategy for model correction using physical constraints. Zbl 1349.65202
He, Yanyan; Xiu, Dongbin
2016
Asymptotic-preserving methods for hyperbolic and transport equations with random inputs and diffusive scalings. Zbl 1352.65407
Jin, Shi; Xiu, Dongbin; Zhu, Xueyu
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
2015
Weighted discrete least-squares polynomial approximation using randomized quadratures. Zbl 1349.60086
Zhou, Tao; Narayan, Akil; Xiu, Dongbin
2015
A stochastic Galerkin method for Hamilton-Jacobi equations with uncertainty. Zbl 1330.65179
Hu, Jingwei; Jin, Shi; Xiu, Dongbin
2015
An efficient method for uncertainty propagation using fuzzy sets. Zbl 1327.65012
Chen, Xiaoxiao; He, Yanyan; Xiu, Dongbin
2015
Computational aspects of stochastic collocation with multifidelity models. Zbl 1306.65010
Zhu, Xueyu; Narayan, Akil; Xiu, Dongbin
2014
A stochastic collocation algorithm with multifidelity models. Zbl 1296.65013
Narayan, Akil; Gittelson, Claude; Xiu, Dongbin
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
2014
Surrogate based method for evaluation of failure probability under multiple constraints. Zbl 1306.65012
Li, Jing; Xiu, Dongbin
2014
Minimal multi-element stochastic collocation for uncertainty quantification of discontinuous functions. Zbl 1311.65158
Jakeman, John D.; Narayan, Akil; Xiu, Dongbin
2013
Constructing nested nodal sets for multivariate polynomial interpolation. Zbl 1292.65007
Narayan, Akil; Xiu, Dongbin
2013
A flexible numerical approach for quantification of epistemic uncertainty. Zbl 1305.65013
Chen, Xiaoxiao; Park, Eun-Jae; Xiu, Dongbin
2013
Stochastic collocation algorithms using $$\ell_1$$-minimization. Zbl 1291.65024
Yan, Liang; Guo, Ling; Xiu, Dongbin
2012
Stochastic collocation for optimal control problems with stochastic PDE constraints. Zbl 1260.60125
Tiesler, Hanne; Kirby, Robert M.; Xiu, Dongbin; Preusser, Tobias
2012
Stochastic collocation methods on unstructured grids in high dimensions via interpolation. Zbl 1246.65029
Narayan, Akil; Xiu, Dongbin
2012
Generalised polynomial chaos for a class of linear conservation laws. Zbl 1258.65008
Pulch, Roland; Xiu, Dongbin
2012
Sequential data assimilation with multiple models. Zbl 1284.62801
Narayan, Akil; Marzouk, Youssef; Xiu, Dongbin
2012
Characterization of discontinuities in high-dimensional stochastic problems on adaptive sparse grids. Zbl 1218.65010
Jakeman, John D.; Archibald, Richard; Xiu, Dongbin
2011
An efficient surrogate-based method for computing rare failure probability. Zbl 1370.65005
Li, Jing; Li, Jinglai; Xiu, Dongbin
2011
Variance-based global sensitivity analysis via sparse-grid interpolation and cubature. Zbl 1364.41003
Buzzard, Gregery T.; Xiu, Dongbin
2011
Distributional sensitivity for uncertainty quantification. Zbl 1364.65009
Narayan, Akil; Xiu, Dongbin
2011
Numerical methods for stochastic computations. A spectral method approach. Zbl 1210.65002
Xiu, Dongbin
2010
Evaluation of failure probability via surrogate models. Zbl 1204.65010
Li, Jing; Xiu, Dongbin
2010
Numerical approach for quantification of epistemic uncertainty. Zbl 1204.65008
Jakeman, John; Eldred, Michael; Xiu, Dongbin
2010
Uncertainty quantification models for micro-scale squeeze-film damping. Zbl 1202.76122
Guo, Xiaohui; Li, Jia; Xiu, Dongbin; Alexeenko, Alina
2010
Fast numerical methods for stochastic computations: a review. Zbl 1364.65019
Xiu, Dongbin
2009
A stochastic collocation approach to Bayesian inference in inverse problems. Zbl 1364.62064
Marzouk, Youssef; Xiu, Dongbin
2009
Efficient stochastic Galerkin methods for random diffusion equations. Zbl 1161.65008
Xiu, Dongbin; Shen, Jie
2009
A generalized polynomial chaos based ensemble Kalman filter with high accuracy. Zbl 1280.93084
Li, Jia; Xiu, Dongbin
2009
Discontinuity detection in multivariate space for stochastic simulations. Zbl 1161.65307
Archibald, Rick; Gelb, Anne; Saxena, Rishu; Xiu, Dongbin
2009
Galerkin method for wave equations with uncertain coefficients. Zbl 1195.65009
Gottlieb, David; Xiu, Dongbin
2008
Numerical integration formulas of degree two. Zbl 1221.65082
Xiu, Dongbin
2008
On numerical properties of the ensemble Kalman filter for data assimilation. Zbl 1195.93137
Li, Jia; Xiu, Dongbin
2008
Efficient collocational approach for parametric uncertainty analysis. Zbl 1164.65302
Xiu, Dongbin
2007
An efficient spectral method for acoustic scattering from rough surfaces. Zbl 1164.65303
Xiu, Dongbin; Shen, Jie
2007
Parametric uncertainty analysis of pulse wave propagation in a model of a human arterial network. Zbl 1121.92023
Xiu, Dongbin; Sherwin, Spencer J.
2007
Numerical methods for differential equations in random domains. Zbl 1114.60056
Xiu, Dongbin; Tartakovsky, Daniel M.
2006
Stochastic analysis of transport in tubes with rough walls. Zbl 1146.76651
Tartakovsky, Daniel M.; Xiu, Dongbin
2006
High-order collocation methods for differential equations with random inputs. Zbl 1091.65006
Xiu, Dongbin; Hesthaven, Jan S.
2005
Equation-free/Galerkin-free POD-assisted computation of incompressible flows. Zbl 1213.76146
Sirisup, Sirod; Karniadakis, George Em; Xiu, Dongbin; Kevrekidis, Ioannis G.
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.
2005
Equation-free, multiscale computation for unsteady random diffusion. Zbl 1089.60040
Xiu, Dongbin; Kevrekidis, Ioannis G.
2005
A two-scale nonperturbative approach to uncertainty analysis of diffusion in random composites. Zbl 1067.60057
Xiu, Dongbin; Tartakovsky, Daniel M.
2004
Supersensitivity due to uncertain boundary conditions. Zbl 1075.76623
2004
Stochastic solutions for the two-dimensional advection-diffusion equation. Zbl 1075.65010
Wan, Xiaoliang; Xiu, Dongbin; Karniadakis, George Em
2004
Modeling uncertainty in flow simulations via generalized polynomial chaos. Zbl 1047.76111
2003
A new stochastic approach to transient heat conduction modeling with uncertainty. Zbl 1038.80003
2003
Predictability and uncertainty in CFD. Zbl 1032.76662
Lucor, D.; Xiu, D.; Su, C.-H.; Karniadakis, G. E.
2003
Performance evaluation of generalized polynomial chaos. Zbl 1188.60038
Xiu, Dongbin; Lucor, Didier; Su, C.-H.; Karniadakis, George Em
2003
The Wiener–Askey polynomial chaos for stochastic differential equations. Zbl 1014.65004
2002
Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos. Zbl 1016.65001
2002
A semi-Lagrangian method for turbulence simulations using mixed spectral discretizations. Zbl 1028.76020
Xu, Jin; Xiu, Dongbin; Karniadakis, George Em
2002
A semi-Lagrangian high-order method for Navier-Stokes equations. Zbl 1028.76026
2001
all top 5

#### Cited by 2,169 Authors

 41 Karniadakis, George Em 37 Xiu, Dongbin 31 Lin, Guang 30 Narayan, Akil C. 27 Doostan, Alireza 23 Ghanem, Roger G. 23 Le Maître, Olivier P. 23 Zabaras, Nicholas J. 22 Jin, Shi 18 Zhou, Tao 17 Marzouk, Youssef M. 17 Nobile, Fabio 17 Pulch, Roland 16 Iaccarino, Gianluca 16 Matthies, Hermann Georg 15 Lucor, Didier 15 Nouy, Anthony 15 Willcox, Karen E. 14 Jakeman, John Davis 14 Najm, Habib N. 14 Tempone, Raúl F. 13 Harbrecht, Helmut 13 Knio, Omar M. 12 Cortés López, Juan Carlos 12 Schwab, Christoph 12 Tartakovsky, Daniel M. 11 Congedo, Pietro Marco 11 Peherstorfer, Benjamin 10 Chen, Peng 10 Elman, Howard C. 10 Guo, Ling 10 Phipps, Eric T. 10 Venturi, Daniele 10 Witteveen, Jeroen A. S. 10 Zhang, Dongxiao 9 Alexanderian, Alen 9 Jiang, Lijian 9 Liu, Liu 9 Nordström, Jan 9 Soize, Christian 9 Sudret, Bruno 9 Tamellini, Lorenzo 9 Wang, Chong 9 Zhang, Zhiwen 8 Adhikari, Sondipon 8 Aluru, Narayana R. 8 Chen, Wei 8 Hou, Thomas Yizhao 8 Keshavarzzadeh, Vahid 8 Li, Jinglai 8 Nair, Prasanth B. 8 Sagaut, Pierre 8 Salvetti, Maria Vittoria 8 Sapsis, Themistoklis P. 8 Tartakovsky, Alexandre M. 8 Vega, José Manuel 8 Wan, Xiaoliang 8 Webster, Clayton G. 8 Yang, Xiu 8 Zhu, Xueyu 7 Arnst, Maarten 7 Bilionis, Ilias 7 Constantine, Paul G. 7 Gibou, Frédéric 7 Grigoriu, Mircea D. 7 Gunzburger, Max D. 7 Hampton, Jerrad 7 Hesthaven, Jan S. 7 Jornet, Marc 7 Motamed, Mohammad 7 Pareschi, Lorenzo 7 Peters, Michael D. 7 Poëtte, Gaël 7 Quarteroni, Alfio M. 7 Sabelfeld, Karl Karlovich 6 Abgrall, Rémi 6 Adcock, Ben 6 Chen-Charpentier, Benito M. 6 Ganapathysubramanian, Baskar 6 Geraci, Gianluca 6 Kevrekidis, Ioannis George 6 Kim, Philsu 6 Lermusiaux, Pierre F. J. 6 Li, Qin 6 Min, Chohong 6 Oden, John Tinsley 6 Pettersson, Per 6 Rahman, Sharif 6 Raisee, Mehrdad 6 Schillings, Claudia 6 Seaïd, Mohammed 6 Shu, Ruiwen 6 Sousedík, Bedřich 6 Wu, Kailiang 6 Zhang, Guannan 5 Agarwal, Nitin 5 Augustin, Florian 5 Bak, Soyoon 5 Bijl, Hester 5 Calatayud, Julia ...and 2,069 more Authors
all top 5

#### Cited in 199 Serials

 301 Journal of Computational Physics 182 Computer Methods in Applied Mechanics and Engineering 92 SIAM/ASA Journal on Uncertainty Quantification 83 SIAM Journal on Scientific Computing 53 Journal of Scientific Computing 42 International Journal for Numerical Methods in Engineering 32 Computers and Fluids 29 Journal of Computational and Applied Mathematics 26 Applied Mathematical Modelling 24 Computational Geosciences 23 Computers & Mathematics with Applications 18 Applied Mathematics and Computation 18 Applied Numerical Mathematics 16 Multiscale Modeling & Simulation 14 Mathematics and Computers in Simulation 14 Numerische Mathematik 14 Computational Mechanics 13 SIAM Journal on Numerical Analysis 12 Mathematical Problems in Engineering 11 International Journal of Computer Mathematics 11 Engineering Analysis with Boundary Elements 8 Automatica 8 Advances in Computational Mathematics 8 Structural and Multidisciplinary Optimization 8 International Journal of Computational Methods 7 Journal of Fluid Mechanics 7 SIAM Review 7 Nonlinear Dynamics 7 Archives of Computational Methods in Engineering 7 Foundations of Computational Mathematics 6 Mathematics of Computation 6 BIT 6 Physica D 6 Numerical Algorithms 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Stochastic and Partial Differential Equations. Analysis and Computations 5 Acta Mechanica 5 SIAM Journal on Control and Optimization 5 Numerical Methods for Partial Differential Equations 5 European Journal of Mechanics. B. Fluids 5 Communications in Nonlinear Science and Numerical Simulation 5 SIAM Journal on Applied Dynamical Systems 5 East Asian Journal on Applied Mathematics 4 Inverse Problems 4 Journal of Engineering Mathematics 4 Journal of Mathematical Analysis and Applications 4 Journal of Statistical Physics 4 Theoretical and Computational Fluid Dynamics 4 Journal of Differential Equations 4 Linear Algebra and its Applications 4 Computing and Visualization in Science 4 Abstract and Applied Analysis 4 Journal of Applied Mathematics 4 Journal of Machine Learning Research (JMLR) 4 Acta Numerica 4 Mathematical Modelling of Natural Phenomena 4 Journal of Mathematics in Industry 3 International Journal of Heat and Mass Transfer 3 Journal of Mathematical Biology 3 Mathematical Biosciences 3 Bulletin of Mathematical Biology 3 Journal of the American Statistical Association 3 Constructive Approximation 3 Mathematical and Computer Modelling 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 SIAM Journal on Optimization 3 Multibody System Dynamics 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Stochastic Environmental Research and Risk Assessment 3 Discrete and Continuous Dynamical Systems. Series B 3 Journal of Computational Acoustics 3 Stochastics 3 Acta Mechanica Sinica 3 The Journal of Mathematical Neuroscience 3 Statistics and Computing 3 Research in the Mathematical Sciences 2 Computer Physics Communications 2 Journal of the Franklin Institute 2 Mathematical Methods in the Applied Sciences 2 Physics Reports 2 Fuzzy Sets and Systems 2 Journal of Optimization Theory and Applications 2 Systems & Control Letters 2 Acta Mathematicae Applicatae Sinica. English Series 2 COMPEL 2 SIAM Journal on Matrix Analysis and Applications 2 European Journal of Applied Mathematics 2 Applications of Mathematics 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 Archive of Applied Mechanics 2 Advances in Engineering Software 2 Computational Optimization and Applications 2 Physics of Fluids 2 Numerical Linear Algebra with Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Vietnam Journal of Mathematics 2 European Journal of Mechanics. A. Solids 2 Methodology and Computing in Applied Probability 2 Optimization and Engineering ...and 99 more Serials
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#### Cited in 40 Fields

 974 Numerical analysis (65-XX) 400 Partial differential equations (35-XX) 393 Probability theory and stochastic processes (60-XX) 314 Fluid mechanics (76-XX) 237 Statistics (62-XX) 187 Mechanics of deformable solids (74-XX) 74 Biology and other natural sciences (92-XX) 74 Systems theory; control (93-XX) 58 Approximations and expansions (41-XX) 55 Calculus of variations and optimal control; optimization (49-XX) 54 Dynamical systems and ergodic theory (37-XX) 52 Ordinary differential equations (34-XX) 47 Operations research, mathematical programming (90-XX) 46 Computer science (68-XX) 43 Geophysics (86-XX) 38 Optics, electromagnetic theory (78-XX) 35 Statistical mechanics, structure of matter (82-XX) 28 Classical thermodynamics, heat transfer (80-XX) 22 Mechanics of particles and systems (70-XX) 22 Information and communication theory, circuits (94-XX) 16 Special functions (33-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 9 Operator theory (47-XX) 7 Integral equations (45-XX) 6 Functional analysis (46-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 General and overarching topics; collections (00-XX) 3 Quantum theory (81-XX) 2 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-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 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX)