| Year |
Citation |
Score |
| 2020 |
Wu K, Xiu D. Data-driven deep learning of partial differential equations in modal space Journal of Computational Physics. 408: 109307. DOI: 10.1016/J.Jcp.2020.109307 |
0.456 |
|
| 2019 |
Canuto C, Pieraccini S, Xiu D. Uncertainty quantification of discontinuous outputs via a non-intrusive bifidelity strategy Journal of Computational Physics. 398: 108885. DOI: 10.1016/J.Jcp.2019.108885 |
0.472 |
|
| 2019 |
Qin T, Wu K, Xiu D. Data driven governing equations approximation using deep neural networks Journal of Computational Physics. 395: 620-635. DOI: 10.1016/J.Jcp.2019.06.042 |
0.436 |
|
| 2019 |
Wu K, Xiu D. Numerical aspects for approximating governing equations using data Journal of Computational Physics. 384: 200-221. DOI: 10.1016/J.Jcp.2019.01.030 |
0.481 |
|
| 2019 |
Chou C, Li Y, Xiu D. Energy conserving Galerkin approximation of two dimensional wave equations with random coefficients Journal of Computational Physics. 381: 52-66. DOI: 10.1016/J.Jcp.2018.12.018 |
0.473 |
|
| 2019 |
Wang P, Qin Y, Cheng M, Wang G, Xiu D, Sun Z. A new method for an old topic: Efficient and reliable estimation of material bulk modulus Computational Materials Science. 165: 7-12. DOI: 10.1016/J.Commatsci.2019.04.022 |
0.337 |
|
| 2018 |
Renardy M, Yi TM, Xiu D, Chou CS. Parameter uncertainty quantification using surrogate models applied to a spatial model of yeast mating polarization. Plos Computational Biology. 14: e1006181. PMID 29813055 DOI: 10.1371/Journal.Pcbi.1006181 |
0.356 |
|
| 2018 |
Shin Y, Wu K, Xiu D. Sequential function approximation with noisy data Journal of Computational Physics. 371: 363-381. DOI: 10.1016/J.Jcp.2018.05.042 |
0.434 |
|
| 2018 |
Wu K, Xiu D. Sequential function approximation on arbitrarily distributed point sets Journal of Computational Physics. 354: 370-386. DOI: 10.1016/J.Jcp.2017.10.020 |
0.416 |
|
| 2017 |
Wu K, Shin Y, Xiu D. A Randomized Tensor Quadrature Method for High Dimensional Polynomial Approximation Siam Journal On Scientific Computing. 39: A1811-A1833. DOI: 10.1137/16M1081695 |
0.454 |
|
| 2017 |
Shin Y, Xiu D. A Randomized Algorithm for Multivariate Function Approximation Siam Journal On Scientific Computing. 39: A983-A1002. DOI: 10.1137/16M1075193 |
0.456 |
|
| 2017 |
Yan L, Shin Y, Xiu D. Sparse Approximation using $\ell_1-\ell_2$ Minimization and Its Application to Stochastic Collocation Siam Journal On Scientific Computing. 39. DOI: 10.1137/15M103947X |
0.416 |
|
| 2017 |
Wu K, Tang H, Xiu D. A stochastic Galerkin method for first-order quasilinear hyperbolic systems with uncertainty Journal of Computational Physics. 345: 224-244. DOI: 10.1016/J.Jcp.2017.05.027 |
0.485 |
|
| 2017 |
Zhu X, Linebarger EM, Xiu D. Multi-fidelity stochastic collocation method for computation of statistical moments Journal of Computational Physics. 341: 386-396. DOI: 10.1016/J.Jcp.2017.04.022 |
0.494 |
|
| 2016 |
Shin Y, Xiu D. Correcting Data Corruption Errors for Multivariate Function Approximation Siam Journal On Scientific Computing. 38. DOI: 10.1137/16M1059473 |
0.332 |
|
| 2016 |
Shin Y, Xiu D. Nonadaptive quasi-optimal points selection for least squares linear regression Siam Journal On Scientific Computing. 38: A385-A411. DOI: 10.1137/15M1015868 |
0.352 |
|
| 2016 |
Shin Y, Xiu D. On a near optimal sampling strategy for least squares polynomial regression Journal of Computational Physics. 326: 931-946. DOI: 10.1016/J.Jcp.2016.09.032 |
0.354 |
|
| 2016 |
He Y, Xiu D. Numerical strategy for model correction using physical constraints Journal of Computational Physics. 313: 617-634. DOI: 10.1016/J.Jcp.2016.02.054 |
0.35 |
|
| 2015 |
Han X, Li J, Xiu D. Error analysis for numerical formulation of particle filter Discrete and Continuous Dynamical Systems - Series B. 20: 1337-1354. DOI: 10.3934/Dcdsb.2015.20.1337 |
0.328 |
|
| 2015 |
Chen X, He Y, Xiu D. An efficient method for uncertainty propagation using fuzzy sets Siam Journal On Scientific Computing. 37: A2488-A2507. DOI: 10.1137/140997385 |
0.399 |
|
| 2015 |
Hu J, Jin S, Xiu D. A stochastic galerkin method for Hamilton-jacobi equations with uncertainty Siam Journal On Scientific Computing. 37: A2246-A2269. DOI: 10.1137/140990930 |
0.526 |
|
| 2015 |
Chen Y, Jakeman J, Gittelson C, Xiu D. Local polynomial chaos expansion for linear differential equations with high dimensional random inputs Siam Journal On Scientific Computing. 37: A79-A102. DOI: 10.1137/140970100 |
0.522 |
|
| 2015 |
Zhou T, Narayan A, Xiu D. Weighted discrete least-squares polynomial approximation using randomized quadratures Journal of Computational Physics. 298: 787-800. DOI: 10.1016/J.Jcp.2015.06.042 |
0.462 |
|
| 2015 |
Jin S, Xiu D, Zhu X. Asymptotic-preserving methods for hyperbolic and transport equations with random inputs and diffusive scalings Journal of Computational Physics. 289: 35-52. DOI: 10.1016/J.Jcp.2015.02.023 |
0.432 |
|
| 2015 |
Jin S, Xiu D, Zhu X. A Well-Balanced Stochastic Galerkin Method for Scalar Hyperbolic Balance Laws with Random Inputs Journal of Scientific Computing. DOI: 10.1007/S10915-015-0124-2 |
0.472 |
|
| 2014 |
Zhu X, Narayan AC, Xiu D. Computational Aspects of Stochastic Collocation with Multifidelity Models Siam/Asa Journal On Uncertainty Quantification. 2: 444-463. DOI: 10.1137/130949154 |
0.403 |
|
| 2014 |
Narayan A, Gittelson C, Xiu D. A stochastic collocation algorithm with multifidelity models Siam Journal On Scientific Computing. 36: A495-A521. DOI: 10.1137/130929461 |
0.48 |
|
| 2014 |
Li J, Qi X, Xiu D. On upper and lower bounds for quantity of interest in problems subject to epistemic uncertainty Siam Journal On Scientific Computing. 36: A364-A376. DOI: 10.1137/120892969 |
0.454 |
|
| 2014 |
Li J, Xiu D. Surrogate based method for evaluation of failure probability under multiple constraints Siam Journal On Scientific Computing. 36: A828-A845. DOI: 10.1137/120877192 |
0.431 |
|
| 2013 |
Yang C, Xiu D, Kirby RM. VISUALIZATION OF COVARIANCE AND CROSS-COVARIANCE FIELDS International Journal For Uncertainty Quantification. 3: 25-38. DOI: 10.1615/Int.J.Uncertaintyquantification.2011003369 |
0.351 |
|
| 2013 |
Narayan A, Xiu D. Constructing nested nodal sets for multivariate polynomial interpolation Siam Journal On Scientific Computing. 35: A2293-A2315. DOI: 10.1137/12089613X |
0.374 |
|
| 2013 |
Jakeman JD, Narayan A, Xiu D. Minimal multi-element stochastic collocation for uncertainty quantification of discontinuous functions Journal of Computational Physics. 242: 790-808. DOI: 10.1016/J.Jcp.2013.02.035 |
0.426 |
|
| 2013 |
Chen X, Park EJ, Xiu D. A flexible numerical approach for quantification of epistemic uncertainty Journal of Computational Physics. 240: 211-224. DOI: 10.1016/J.Jcp.2013.01.018 |
0.453 |
|
| 2012 |
Yan L, Guo L, Xiu D. STOCHASTIC COLLOCATION ALGORITHMS USING l1-MINIMIZATION International Journal For Uncertainty Quantification. 2: 279-293. DOI: 10.1615/Int.J.Uncertaintyquantification.2012003925 |
0.463 |
|
| 2012 |
Li J, Xiu D. Computation of failure probability subject to epistemic uncertainty Siam Journal On Scientific Computing. 34: A2946-A2964. DOI: 10.1137/120864155 |
0.398 |
|
| 2012 |
Narayan AC, Xiu D. Stochastic Collocation Methods On Unstructured Grids In High Dimensions Via Interpolation Siam Journal On Scientific Computing. 34. DOI: 10.1137/110854059 |
0.453 |
|
| 2012 |
Tiesler H, Kirby RM, Xiu D, Preusser T. Stochastic collocation for optimal control problems with stochastic pde constraints Siam Journal On Control and Optimization. 50: 2659-2682. DOI: 10.1137/110835438 |
0.477 |
|
| 2012 |
Narayan A, Marzouk Y, Xiu D. Sequential data assimilation with multiple models Journal of Computational Physics. 231: 6401-6418. DOI: 10.1016/J.Jcp.2012.06.002 |
0.404 |
|
| 2012 |
Pulch R, Xiu D. Generalised polynomial chaos for a class of linear conservation laws Journal of Scientific Computing. 51: 293-312. DOI: 10.1007/S10915-011-9511-5 |
0.431 |
|
| 2011 |
Buzzard GT, Xiu D. Variance-based global sensitivity analysis via sparse-grid interpolation and cubature Communications in Computational Physics. 9: 542-567. DOI: 10.4208/Cicp.230909.160310S |
0.462 |
|
| 2011 |
Narayan A, Xiu D. Distributional sensitivity for uncertainty quantification Communications in Computational Physics. 10: 140-160. DOI: 10.4208/Cicp.160210.300710A |
0.411 |
|
| 2011 |
Li J, Xiu D. An efficient surrogate-based method for computing rare failure probability Journal of Computational Physics. 230: 8683-8697. DOI: 10.1016/J.Jcp.2011.08.008 |
0.4 |
|
| 2011 |
Jakeman JD, Archibald R, Xiu D. Characterization of discontinuities in high-dimensional stochastic problems on adaptive sparse grids Journal of Computational Physics. 230: 3977-3997. DOI: 10.1016/J.Jcp.2011.02.022 |
0.443 |
|
| 2010 |
Li J, Xiu D. Evaluation of failure probability via surrogate models Journal of Computational Physics. 229: 8966-8980. DOI: 10.1016/J.Jcp.2010.08.022 |
0.38 |
|
| 2010 |
Jakeman J, Eldred M, Xiu D. Numerical approach for quantification of epistemic uncertainty Journal of Computational Physics. 229: 4648-4663. DOI: 10.1016/J.Jcp.2010.03.003 |
0.45 |
|
| 2010 |
Guo X, Li J, Xiu D, Alexeenko A. Uncertainty quantification models for micro-scale squeeze-film damping International Journal For Numerical Methods in Engineering. 84: 1257-1272. DOI: 10.1002/Nme.2952 |
0.38 |
|
| 2010 |
Xiu D. Numerical methods for stochastic computations: A spectral method approach Numerical Methods For Stochastic Computations: a Spectral Method Approach. |
0.373 |
|
| 2009 |
Marzouk Y, Xiu D. A stochastic collocation approach to Bayesian inference in inverse problems Communications in Computational Physics. 6: 826-847. DOI: 10.4208/Cicp.2009.V6.P826 |
0.484 |
|
| 2009 |
Li J, Xiu D. A generalized polynomial chaos based ensemble Kalman filter with high accuracy Journal of Computational Physics. 228: 5454-5469. DOI: 10.1016/J.Jcp.2009.04.029 |
0.437 |
|
| 2009 |
Archibald R, Gelb A, Saxena R, Xiu D. Discontinuity detection in multivariate space for stochastic simulations Journal of Computational Physics. 228: 2676-2689. DOI: 10.1016/J.Jcp.2009.01.001 |
0.454 |
|
| 2009 |
Xiu D, Shen J. Efficient stochastic Galerkin methods for random diffusion equations Journal of Computational Physics. 228: 266-281. DOI: 10.1016/J.Jcp.2008.09.008 |
0.502 |
|
| 2009 |
Xiu D. Fast numerical methods for stochastic computations: A review Communications in Computational Physics. 5: 242-272. |
0.387 |
|
| 2008 |
Xiu D. Fast numerical methods for robust optimal design Engineering Optimization. 40: 489-504. DOI: 10.1080/03052150801893631 |
0.49 |
|
| 2008 |
Zabaras N, Xiu D. Stochastic modeling of multiscale and multiphysics problems Computer Methods in Applied Mechanics and Engineering. 197: 3419. DOI: 10.1016/J.Cma.2008.04.021 |
0.331 |
|
| 2008 |
Li J, Xiu D. On numerical properties of the ensemble Kalman filter for data assimilation Computer Methods in Applied Mechanics and Engineering. 197: 3574-3583. DOI: 10.1016/J.Cma.2008.03.022 |
0.38 |
|
| 2008 |
Xiu D. Numerical integration formulas of degree two Applied Numerical Mathematics. 58: 1515-1520. DOI: 10.1016/J.Apnum.2007.09.004 |
0.351 |
|
| 2008 |
Gottlieb D, Xiu D. Galerkin method for wave equations with uncertain coefficients Communications in Computational Physics. 3: 505-518. |
0.366 |
|
| 2007 |
Geneser SE, Kirby RM, Xiu D, Sachse FB. Stochastic Markovian modeling of electrophysiology of ion channels: reconstruction of standard deviations in macroscopic currents. Journal of Theoretical Biology. 245: 627-37. PMID 17204291 DOI: 10.1016/J.Jtbi.2006.10.016 |
0.327 |
|
| 2007 |
Tartakovsky DM, Xiu D. Stochastic modeling of complex systems Computing in Science and Engineering. 9: 8-9. DOI: 10.1109/Mcse.2007.32 |
0.337 |
|
| 2007 |
Xiu D, Sherwin SJ. Parametric uncertainty analysis of pulse wave propagation in a model of a human arterial network Journal of Computational Physics. 226: 1385-1407. DOI: 10.1016/J.Jcp.2007.05.020 |
0.36 |
|
| 2007 |
Xiu D, Shen J. An efficient spectral method for acoustic scattering from rough surfaces Communications in Computational Physics. 2: 54-72. |
0.32 |
|
| 2006 |
Xiu D, Hesthaven JS. High-order collocation methods for differential equations with random inputs Siam Journal On Scientific Computing. 27: 1118-1139. DOI: 10.1137/040615201 |
0.529 |
|
| 2006 |
Xiu D, Tartakovsky DM. Numerical methods for differential equations in random domains Siam Journal On Scientific Computing. 28: 1167-1185. DOI: 10.1137/040613160 |
0.462 |
|
| 2006 |
Tartakovsky DM, Xiu D. Stochastic analysis of transport in tubes with rough walls Journal of Computational Physics. 217: 248-259. DOI: 10.1016/J.Jcp.2006.02.029 |
0.453 |
|
| 2005 |
Wan X, Xiu D, Karniadakis GEM. Stochastic solutions for the two-dimensional advection-diffusion equation Siam Journal On Scientific Computing. 26: 578-590. DOI: 10.1137/S106482750342684X |
0.595 |
|
| 2005 |
Xiu D, Kevrekidis IG. Equation-free, multiscale computation for unsteady random diffusion Multiscale Modeling and Simulation. 4: 915-935. DOI: 10.1137/040615006 |
0.47 |
|
| 2005 |
Sirisup S, Karniadakis GE, Xiu D, Kevrekidis IG. Equation-free/Galerkin-free POD-assisted computation of incompressible flows Journal of Computational Physics. 207: 568-587. DOI: 10.1016/J.Jcp.2005.01.024 |
0.738 |
|
| 2005 |
Xiu D, Sherwin SJ, Dong S, Karniadakis GE. Strong and auxiliary forms of the semi-Lagrangian method for incompressible flows Journal of Scientific Computing. 25: 323-346. DOI: 10.1007/S10915-004-4647-1 |
0.59 |
|
| 2005 |
Xiu D, Sherwin SJ, Dong S, Karniadakis GE. Strong and auxiliary forms of the semi-Lagrangian method for incompressible flows Journal of Scientific Computing. 25: 323-346. DOI: 10.1007/BF02728994 |
0.439 |
|
| 2004 |
Xiu D, Karniadakis GE. Supersensitivity due to uncertain boundary conditions International Journal For Numerical Methods in Engineering. 61: 2114-2138. DOI: 10.1002/Nme.1152 |
0.588 |
|
| 2004 |
Wan X, Xiu D, Karniadakis GE. Modeling uncertainty in three-dimensional heat transfer problems Computational Studies. 5: 15-24. |
0.669 |
|
| 2003 |
Xiu D, Em Karniadakis G. The Wiener-Askey polynomial chaos for stochastic differential equations Siam Journal On Scientific Computing. 24: 619-644. DOI: 10.1137/S1064827501387826 |
0.526 |
|
| 2003 |
Xiu D, Karniadakis GE. Modeling uncertainty in flow simulations via generalized polynomial chaos Journal of Computational Physics. 187: 137-167. DOI: 10.1016/S0021-9991(03)00092-5 |
0.659 |
|
| 2003 |
Xiu D, Karniadakis GE. A new stochastic approach to transient heat conduction modeling with uncertainty International Journal of Heat and Mass Transfer. 46: 4681-4693. DOI: 10.1016/S0017-9310(03)00299-0 |
0.619 |
|
| 2003 |
Lucor D, Xiu D, Su CH, Karniadakis GE. Predictability and uncertainty in CFD International Journal For Numerical Methods in Fluids. 43: 483-505. DOI: 10.1002/Fld.500 |
0.739 |
|
| 2003 |
Xiu D, Lucor D, Su CH, Karniadakis GE. Performance evaluation of generalized polynomial chaos Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 2660: 346-354. |
0.713 |
|
| 2002 |
Xiu D, Lucor D, Su CH, Karniadakis GE. Stochastic modeling of flow-structure interactions using generalized polynomial chaos Journal of Fluids Engineering, Transactions of the Asme. 124: 51-59. DOI: 10.1115/1.1436089 |
0.744 |
|
| 2002 |
Xu J, Xiu D, Em Karniadakis G. A Semi-Lagrangian Method for Turbulence Simulations Using Mixed Spectral Discretizations Journal of Scientific Computing. 17: 585-597. DOI: 10.1023/A:1015122714039 |
0.505 |
|
| 2002 |
Xiu D, Em Karniadakis G. Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos Computer Methods in Applied Mechanics and Engineering. 191: 4927-4948. DOI: 10.1016/S0045-7825(02)00421-8 |
0.533 |
|
| 2001 |
Xiu D, Karniadakis GE. A semi-Lagrangian high-order method for Navier-Stokes equations Journal of Computational Physics. 172: 658-684. DOI: 10.1006/Jcph.2001.6847 |
0.618 |
|
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