Edit Profile Xiu, Dongbin Compute Distance To: Compute 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1014.65004Xiu, Dongbin; Karniadakis, George Em 695 2002 High-order collocation methods for differential equations with random inputs. Zbl 1091.65006Xiu, Dongbin; Hesthaven, Jan S. 362 2005 Numerical methods for stochastic computations. A spectral method approach. Zbl 1210.65002Xiu, Dongbin 246 2010 Modeling uncertainty in flow simulations via generalized polynomial chaos. Zbl 1047.76111Xiu, Dongbin; Karniadakis, George Em 243 2003 Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos. Zbl 1016.65001Xiu, Dongbin; Karniadakis, George Em 127 2002 Fast numerical methods for stochastic computations: a review. Zbl 1364.65019Xiu, Dongbin 100 2009 Efficient collocational approach for parametric uncertainty analysis. Zbl 1164.65302Xiu, Dongbin 94 2007 A semi-Lagrangian high-order method for Navier-Stokes equations. Zbl 1028.76026Xiu, Dongbin; Karniadakis, George Em 78 2001 Numerical methods for differential equations in random domains. Zbl 1114.60056Xiu, Dongbin; Tartakovsky, Daniel M. 65 2006 A stochastic collocation approach to Bayesian inference in inverse problems. Zbl 1364.62064Marzouk, Youssef; Xiu, Dongbin 53 2009 Stochastic collocation algorithms using \(\ell_1\)-minimization. Zbl 1291.65024Yan, Liang; Guo, Ling; Xiu, Dongbin 49 2012 Galerkin method for wave equations with uncertain coefficients. Zbl 1195.65009Gottlieb, David; Xiu, Dongbin 43 2008 A new stochastic approach to transient heat conduction modeling with uncertainty. Zbl 1038.80003Xiu, Dongbin; Karniadakis, George Em 41 2003 Stochastic analysis of transport in tubes with rough walls. Zbl 1146.76651Tartakovsky, Daniel M.; Xiu, Dongbin 34 2006 Efficient stochastic Galerkin methods for random diffusion equations. Zbl 1161.65008Xiu, Dongbin; Shen, Jie 31 2009 Asymptotic-preserving methods for hyperbolic and transport equations with random inputs and diffusive scalings. Zbl 1352.65407Jin, Shi; Xiu, Dongbin; Zhu, Xueyu 27 2015 Evaluation of failure probability via surrogate models. Zbl 1204.65010Li, Jing; Xiu, Dongbin 26 2010 Stochastic collocation for optimal control problems with stochastic PDE constraints. Zbl 1260.60125Tiesler, Hanne; Kirby, Robert M.; Xiu, Dongbin; Preusser, Tobias 26 2012 Equation-free/Galerkin-free POD-assisted computation of incompressible flows. Zbl 1213.76146Sirisup, Sirod; Karniadakis, George Em; Xiu, Dongbin; Kevrekidis, Ioannis G. 25 2005 A generalized polynomial chaos based ensemble Kalman filter with high accuracy. Zbl 1280.93084Li, Jia; Xiu, Dongbin 23 2009 Characterization of discontinuities in high-dimensional stochastic problems on adaptive sparse grids. Zbl 1218.65010Jakeman, John D.; Archibald, Richard; Xiu, Dongbin 23 2011 An efficient surrogate-based method for computing rare failure probability. Zbl 1370.65005Li, Jing; Li, Jinglai; Xiu, Dongbin 22 2011 An efficient spectral method for acoustic scattering from rough surfaces. Zbl 1164.65303Xiu, Dongbin; Shen, Jie 21 2007 Stochastic collocation methods on unstructured grids in high dimensions via interpolation. Zbl 1246.65029Narayan, Akil; Xiu, Dongbin 21 2012 Discontinuity detection in multivariate space for stochastic simulations. Zbl 1161.65307Archibald, Rick; Gelb, Anne; Saxena, Rishu; Xiu, Dongbin 18 2009 Computational aspects of stochastic collocation with multifidelity models. Zbl 1306.65010Zhu, Xueyu; Narayan, Akil; Xiu, Dongbin 17 2014 Minimal multi-element stochastic collocation for uncertainty quantification of discontinuous functions. Zbl 1311.65158Jakeman, John D.; Narayan, Akil; Xiu, Dongbin 16 2013 A two-scale nonperturbative approach to uncertainty analysis of diffusion in random composites. Zbl 1067.60057Xiu, Dongbin; Tartakovsky, Daniel M. 16 2004 Local polynomial chaos expansion for linear differential equations with high dimensional random inputs. Zbl 1330.65189Chen, Yi; Jakeman, John; Gittelson, Claude; Xiu, Dongbin 15 2015 Supersensitivity due to uncertain boundary conditions. Zbl 1075.76623Xiu, Dongbin; Karniadakis, George Em 15 2004 A stochastic collocation algorithm with multifidelity models. Zbl 1296.65013Narayan, Akil; Gittelson, Claude; Xiu, Dongbin 15 2014 Numerical approach for quantification of epistemic uncertainty. Zbl 1204.65008Jakeman, John; Eldred, Michael; Xiu, Dongbin 14 2010 Parametric uncertainty analysis of pulse wave propagation in a model of a human arterial network. Zbl 1121.92023Xiu, Dongbin; Sherwin, Spencer J. 14 2007 Multi-fidelity stochastic collocation method for computation of statistical moments. Zbl 1378.65040Zhu, Xueyu; Linebarger, Erin M.; Xiu, Dongbin 13 2017 Weighted discrete least-squares polynomial approximation using randomized quadratures. Zbl 1349.60086Zhou, Tao; Narayan, Akil; Xiu, Dongbin 13 2015 Stochastic solutions for the two-dimensional advection-diffusion equation. Zbl 1075.65010Wan, Xiaoliang; Xiu, Dongbin; Karniadakis, George Em 13 2004 Strong and auxiliary forms of the semi-Lagrangian method for incompressible flows. Zbl 1203.76122Xiu, D.; Sherwin, S. J.; Dong, S.; Karniadakis, G. E. 13 2005 A well-balanced stochastic Galerkin method for scalar hyperbolic balance laws with random inputs. Zbl 1342.65010Jin, Shi; Xiu, Dongbin; Zhu, Xueyu 12 2016 Variance-based global sensitivity analysis via sparse-grid interpolation and cubature. Zbl 1364.41003Buzzard, Gregery T.; Xiu, Dongbin 11 2011 Numerical integration formulas of degree two. Zbl 1221.65082Xiu, Dongbin 11 2008 Predictability and uncertainty in CFD. Zbl 1032.76662Lucor, D.; Xiu, D.; Su, C.-H.; Karniadakis, G. E. 10 2003 A semi-Lagrangian method for turbulence simulations using mixed spectral discretizations. Zbl 1028.76020Xu, Jin; Xiu, Dongbin; Karniadakis, George Em 9 2002 Generalised polynomial chaos for a class of linear conservation laws. Zbl 1258.65008Pulch, Roland; Xiu, Dongbin 8 2012 A randomized algorithm for multivariate function approximation. Zbl 1366.41018Shin, Yeonjong; Xiu, Dongbin 7 2017 A stochastic Galerkin method for Hamilton-Jacobi equations with uncertainty. Zbl 1330.65179Hu, Jingwei; Jin, Shi; Xiu, Dongbin 7 2015 On numerical properties of the ensemble Kalman filter for data assimilation. Zbl 1195.93137Li, Jia; Xiu, Dongbin 7 2008 A stochastic Galerkin method for first-order quasilinear hyperbolic systems with uncertainty. Zbl 1380.65315Wu, Kailiang; Tang, Huazhong; Xiu, Dongbin 6 2017 Sparse approximation using \(\ell_1-\ell_2\) minimization and its application to stochastic collocation. Zbl 1381.94029Yan, Liang; Shin, Yeonjong; Xiu, Dongbin 6 2017 Performance evaluation of generalized polynomial chaos. Zbl 1188.60038Xiu, Dongbin; Lucor, Didier; Su, C.-H.; Karniadakis, George Em 6 2003 Constructing nested nodal sets for multivariate polynomial interpolation. Zbl 1292.65007Narayan, Akil; Xiu, Dongbin 6 2013 Correcting data corruption errors for multivariate function approximation. Zbl 1348.65052Shin, Yeonjong; Xiu, Dongbin 5 2016 On a near optimal sampling strategy for least squares polynomial regression. Zbl 1384.62249Shin, Yeonjong; Xiu, Dongbin 5 2016 A randomized tensor quadrature method for high dimensional polynomial approximation. Zbl 1373.65012Wu, Kailiang; Shin, Yeonjong; Xiu, Dongbin 5 2017 A flexible numerical approach for quantification of epistemic uncertainty. Zbl 1305.65013Chen, Xiaoxiao; Park, Eun-Jae; Xiu, Dongbin 5 2013 Numerical aspects for approximating governing equations using data. Zbl 1451.65008Wu, Kailiang; Xiu, Dongbin 5 2019 Numerical strategy for model correction using physical constraints. Zbl 1349.65202He, Yanyan; Xiu, Dongbin 4 2016 Sequential data assimilation with multiple models. Zbl 1284.62801Narayan, Akil; Marzouk, Youssef; Xiu, Dongbin 4 2012 On upper and lower bounds for quantity of interest in problems subject to epistemic uncertainty. Zbl 1300.65046Li, Jing; Qi, Xin; Xiu, Dongbin 4 2014 Surrogate based method for evaluation of failure probability under multiple constraints. Zbl 1306.65012Li, Jing; Xiu, Dongbin 3 2014 Sequential function approximation with noisy data. Zbl 1415.65035Shin, Yeonjong; Wu, Kailiang; Xiu, Dongbin 3 2018 Sequential function approximation on arbitrarily distributed point sets. Zbl 1380.65034Wu, Kailiang; Xiu, Dongbin 2 2018 An efficient method for uncertainty propagation using fuzzy sets. Zbl 1327.65012Chen, Xiaoxiao; He, Yanyan; Xiu, Dongbin 1 2015 Distributional sensitivity for uncertainty quantification. Zbl 1364.65009Narayan, Akil; Xiu, Dongbin 1 2011 Equation-free, multiscale computation for unsteady random diffusion. Zbl 1089.60040Xiu, Dongbin; Kevrekidis, Ioannis G. 1 2005 Uncertainty quantification models for micro-scale squeeze-film damping. Zbl 1202.76122Guo, Xiaohui; Li, Jia; Xiu, Dongbin; Alexeenko, Alina 1 2010 Energy conserving Galerkin approximation of two dimensional wave equations with random coefficients. Zbl 1451.65143Chou, Ching-Shan; Li, Yukun; Xiu, Dongbin 1 2019 Data driven governing equations approximation using deep neural networks. Zbl 1455.65125Qin, Tong; Wu, Kailiang; Xiu, Dongbin 1 2019 Numerical aspects for approximating governing equations using data. Zbl 1451.65008Wu, Kailiang; Xiu, Dongbin 5 2019 Energy conserving Galerkin approximation of two dimensional wave equations with random coefficients. Zbl 1451.65143Chou, Ching-Shan; Li, Yukun; Xiu, Dongbin 1 2019 Data driven governing equations approximation using deep neural networks. Zbl 1455.65125Qin, Tong; Wu, Kailiang; Xiu, Dongbin 1 2019 Sequential function approximation with noisy data. Zbl 1415.65035Shin, Yeonjong; Wu, Kailiang; Xiu, Dongbin 3 2018 Sequential function approximation on arbitrarily distributed point sets. Zbl 1380.65034Wu, Kailiang; Xiu, Dongbin 2 2018 Multi-fidelity stochastic collocation method for computation of statistical moments. Zbl 1378.65040Zhu, Xueyu; Linebarger, Erin M.; Xiu, Dongbin 13 2017 A randomized algorithm for multivariate function approximation. Zbl 1366.41018Shin, Yeonjong; Xiu, Dongbin 7 2017 A stochastic Galerkin method for first-order quasilinear hyperbolic systems with uncertainty. Zbl 1380.65315Wu, Kailiang; Tang, Huazhong; Xiu, Dongbin 6 2017 Sparse approximation using \(\ell_1-\ell_2\) minimization and its application to stochastic collocation. Zbl 1381.94029Yan, Liang; Shin, Yeonjong; Xiu, Dongbin 6 2017 A randomized tensor quadrature method for high dimensional polynomial approximation. Zbl 1373.65012Wu, Kailiang; Shin, Yeonjong; Xiu, Dongbin 5 2017 A well-balanced stochastic Galerkin method for scalar hyperbolic balance laws with random inputs. Zbl 1342.65010Jin, Shi; Xiu, Dongbin; Zhu, Xueyu 12 2016 Correcting data corruption errors for multivariate function approximation. Zbl 1348.65052Shin, Yeonjong; Xiu, Dongbin 5 2016 On a near optimal sampling strategy for least squares polynomial regression. Zbl 1384.62249Shin, Yeonjong; Xiu, Dongbin 5 2016 Numerical strategy for model correction using physical constraints. Zbl 1349.65202He, Yanyan; Xiu, Dongbin 4 2016 Asymptotic-preserving methods for hyperbolic and transport equations with random inputs and diffusive scalings. Zbl 1352.65407Jin, Shi; Xiu, Dongbin; Zhu, Xueyu 27 2015 Local polynomial chaos expansion for linear differential equations with high dimensional random inputs. Zbl 1330.65189Chen, Yi; Jakeman, John; Gittelson, Claude; Xiu, Dongbin 15 2015 Weighted discrete least-squares polynomial approximation using randomized quadratures. Zbl 1349.60086Zhou, Tao; Narayan, Akil; Xiu, Dongbin 13 2015 A stochastic Galerkin method for Hamilton-Jacobi equations with uncertainty. Zbl 1330.65179Hu, Jingwei; Jin, Shi; Xiu, Dongbin 7 2015 An efficient method for uncertainty propagation using fuzzy sets. Zbl 1327.65012Chen, Xiaoxiao; He, Yanyan; Xiu, Dongbin 1 2015 Computational aspects of stochastic collocation with multifidelity models. Zbl 1306.65010Zhu, Xueyu; Narayan, Akil; Xiu, Dongbin 17 2014 A stochastic collocation algorithm with multifidelity models. Zbl 1296.65013Narayan, Akil; Gittelson, Claude; Xiu, Dongbin 15 2014 On upper and lower bounds for quantity of interest in problems subject to epistemic uncertainty. Zbl 1300.65046Li, Jing; Qi, Xin; Xiu, Dongbin 4 2014 Surrogate based method for evaluation of failure probability under multiple constraints. Zbl 1306.65012Li, Jing; Xiu, Dongbin 3 2014 Minimal multi-element stochastic collocation for uncertainty quantification of discontinuous functions. Zbl 1311.65158Jakeman, John D.; Narayan, Akil; Xiu, Dongbin 16 2013 Constructing nested nodal sets for multivariate polynomial interpolation. Zbl 1292.65007Narayan, Akil; Xiu, Dongbin 6 2013 A flexible numerical approach for quantification of epistemic uncertainty. Zbl 1305.65013Chen, Xiaoxiao; Park, Eun-Jae; Xiu, Dongbin 5 2013 Stochastic collocation algorithms using \(\ell_1\)-minimization. Zbl 1291.65024Yan, Liang; Guo, Ling; Xiu, Dongbin 49 2012 Stochastic collocation for optimal control problems with stochastic PDE constraints. Zbl 1260.60125Tiesler, Hanne; Kirby, Robert M.; Xiu, Dongbin; Preusser, Tobias 26 2012 Stochastic collocation methods on unstructured grids in high dimensions via interpolation. Zbl 1246.65029Narayan, Akil; Xiu, Dongbin 21 2012 Generalised polynomial chaos for a class of linear conservation laws. Zbl 1258.65008Pulch, Roland; Xiu, Dongbin 8 2012 Sequential data assimilation with multiple models. Zbl 1284.62801Narayan, Akil; Marzouk, Youssef; Xiu, Dongbin 4 2012 Characterization of discontinuities in high-dimensional stochastic problems on adaptive sparse grids. Zbl 1218.65010Jakeman, John D.; Archibald, Richard; Xiu, Dongbin 23 2011 An efficient surrogate-based method for computing rare failure probability. Zbl 1370.65005Li, Jing; Li, Jinglai; Xiu, Dongbin 22 2011 Variance-based global sensitivity analysis via sparse-grid interpolation and cubature. Zbl 1364.41003Buzzard, Gregery T.; Xiu, Dongbin 11 2011 Distributional sensitivity for uncertainty quantification. Zbl 1364.65009Narayan, Akil; Xiu, Dongbin 1 2011 Numerical methods for stochastic computations. A spectral method approach. Zbl 1210.65002Xiu, Dongbin 246 2010 Evaluation of failure probability via surrogate models. Zbl 1204.65010Li, Jing; Xiu, Dongbin 26 2010 Numerical approach for quantification of epistemic uncertainty. Zbl 1204.65008Jakeman, John; Eldred, Michael; Xiu, Dongbin 14 2010 Uncertainty quantification models for micro-scale squeeze-film damping. Zbl 1202.76122Guo, Xiaohui; Li, Jia; Xiu, Dongbin; Alexeenko, Alina 1 2010 Fast numerical methods for stochastic computations: a review. Zbl 1364.65019Xiu, Dongbin 100 2009 A stochastic collocation approach to Bayesian inference in inverse problems. Zbl 1364.62064Marzouk, Youssef; Xiu, Dongbin 53 2009 Efficient stochastic Galerkin methods for random diffusion equations. Zbl 1161.65008Xiu, Dongbin; Shen, Jie 31 2009 A generalized polynomial chaos based ensemble Kalman filter with high accuracy. Zbl 1280.93084Li, Jia; Xiu, Dongbin 23 2009 Discontinuity detection in multivariate space for stochastic simulations. Zbl 1161.65307Archibald, Rick; Gelb, Anne; Saxena, Rishu; Xiu, Dongbin 18 2009 Galerkin method for wave equations with uncertain coefficients. Zbl 1195.65009Gottlieb, David; Xiu, Dongbin 43 2008 Numerical integration formulas of degree two. Zbl 1221.65082Xiu, Dongbin 11 2008 On numerical properties of the ensemble Kalman filter for data assimilation. Zbl 1195.93137Li, Jia; Xiu, Dongbin 7 2008 Efficient collocational approach for parametric uncertainty analysis. Zbl 1164.65302Xiu, Dongbin 94 2007 An efficient spectral method for acoustic scattering from rough surfaces. Zbl 1164.65303Xiu, Dongbin; Shen, Jie 21 2007 Parametric uncertainty analysis of pulse wave propagation in a model of a human arterial network. Zbl 1121.92023Xiu, Dongbin; Sherwin, Spencer J. 14 2007 Numerical methods for differential equations in random domains. Zbl 1114.60056Xiu, Dongbin; Tartakovsky, Daniel M. 65 2006 Stochastic analysis of transport in tubes with rough walls. Zbl 1146.76651Tartakovsky, Daniel M.; Xiu, Dongbin 34 2006 High-order collocation methods for differential equations with random inputs. Zbl 1091.65006Xiu, Dongbin; Hesthaven, Jan S. 362 2005 Equation-free/Galerkin-free POD-assisted computation of incompressible flows. Zbl 1213.76146Sirisup, Sirod; Karniadakis, George Em; Xiu, Dongbin; Kevrekidis, Ioannis G. 25 2005 Strong and auxiliary forms of the semi-Lagrangian method for incompressible flows. Zbl 1203.76122Xiu, D.; Sherwin, S. J.; Dong, S.; Karniadakis, G. E. 13 2005 Equation-free, multiscale computation for unsteady random diffusion. Zbl 1089.60040Xiu, Dongbin; Kevrekidis, Ioannis G. 1 2005 A two-scale nonperturbative approach to uncertainty analysis of diffusion in random composites. Zbl 1067.60057Xiu, Dongbin; Tartakovsky, Daniel M. 16 2004 Supersensitivity due to uncertain boundary conditions. Zbl 1075.76623Xiu, Dongbin; Karniadakis, George Em 15 2004 Stochastic solutions for the two-dimensional advection-diffusion equation. Zbl 1075.65010Wan, Xiaoliang; Xiu, Dongbin; Karniadakis, George Em 13 2004 Modeling uncertainty in flow simulations via generalized polynomial chaos. Zbl 1047.76111Xiu, Dongbin; Karniadakis, George Em 243 2003 A new stochastic approach to transient heat conduction modeling with uncertainty. Zbl 1038.80003Xiu, Dongbin; Karniadakis, George Em 41 2003 Predictability and uncertainty in CFD. Zbl 1032.76662Lucor, D.; Xiu, D.; Su, C.-H.; Karniadakis, G. E. 10 2003 Performance evaluation of generalized polynomial chaos. Zbl 1188.60038Xiu, Dongbin; Lucor, Didier; Su, C.-H.; Karniadakis, George Em 6 2003 The Wiener–Askey polynomial chaos for stochastic differential equations. Zbl 1014.65004Xiu, Dongbin; Karniadakis, George Em 695 2002 Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos. Zbl 1016.65001Xiu, Dongbin; Karniadakis, George Em 127 2002 A semi-Lagrangian method for turbulence simulations using mixed spectral discretizations. Zbl 1028.76020Xu, Jin; Xiu, Dongbin; Karniadakis, George Em 9 2002 A semi-Lagrangian high-order method for Navier-Stokes equations. Zbl 1028.76026Xiu, Dongbin; Karniadakis, George Em 78 2001 all cited Publications top 5 cited Publications 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 all top 5 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) Citations by Year