| Authors: | Ma, Xiang and Zabaras, Nicholas |
| Title: | An adaptive high-dimensional stochastic model representation technique for the solution of stochastic partial differential equations |
| Journal: | JOURNAL OF COMPUTATIONAL PHYSICS |
| Year: | 2010 |
| Vol.: | 229 |
| No.: | 10 |
| pp.: | 3884-3915 |
| Authors: | Parussini, Lucia and Pediroda, Valentino and Poloni, Carlo |
| Title: | Prediction of geometric uncertainty effects on Fluid Dynamics by Polynomial Chaos and Fictitious Domain method |
| Journal: | COMPUTERS \& FLUIDS |
| Year: | 2010 |
| Vol.: | 39 |
| No.: | 1 |
| pp.: | 137-151 |
| Authors: | Agarwal, Nitin and Aluru, N. R. |
| Title: | A domain adaptive stochastic collocation approach for analysis of MEMS under uncertainties |
| Journal: | JOURNAL OF COMPUTATIONAL PHYSICS |
| Year: | 2009 |
| Vol.: | 228 |
| No.: | 20 |
| pp.: | 7662-7688 |
| Authors: | Marzouk, Youssef and Xiu, Dongbin |
| Title: | A Stochastic Collocation Approach to Bayesian Inference in Inverse Problems |
| Journal: | COMMUNICATIONS IN COMPUTATIONAL PHYSICS |
| Year: | 2009 |
| Vol.: | 6 |
| No.: | 4 |
| pp.: | 826-847 |
| Authors: | Pulch, Roland |
| Title: | Polynomial chaos for multirate partial differential algebraic equations with random parameters |
| Journal: | APPLIED NUMERICAL MATHEMATICS |
| Year: | 2009 |
| Vol.: | 59 |
| No.: | 10 |
| pp.: | 2610-2624 |
| Authors: | Li, Jia and Xiu, Dongbin |
| Title: | A generalized polynomial chaos based ensemble Kalman filter with high accuracy |
| Journal: | JOURNAL OF COMPUTATIONAL PHYSICS |
| Year: | 2009 |
| Vol.: | 228 |
| No.: | 15 |
| pp.: | 5454-5469 |
| Authors: | Jin, Chao and Cai, Xiao-Chuan |
| Title: | A Preconditioned Recycling GMRES Solver for Stochastic Helmholtz Problems |
| Journal: | COMMUNICATIONS IN COMPUTATIONAL PHYSICS |
| Year: | 2009 |
| Vol.: | 6 |
| No.: | 2 |
| pp.: | 342-353 |
| Authors: | Sankaran, Sethuraman |
| Title: | Stochastic optimization using a sparse grid collocation scheme |
| Journal: | PROBABILISTIC ENGINEERING MECHANICS |
| Year: | 2009 |
| Vol.: | 24 |
| No.: | 3 |
| pp.: | 382-396 |
| Authors: | Cheng, Haiyan and Sandu, Adrian |
| Title: | Uncertainty quantification and apportionment in air quality models using the polynomial chaos method |
| Journal: | ENVIRONMENTAL MODELLING \& SOFTWARE |
| Year: | 2009 |
| Vol.: | 24 |
| No.: | 8 |
| pp.: | 917-925 |
| Authors: | Preston, J. Samuel and Tasdizen, Tolga and Terry, Christi M. and Cheung, Alfred K. and Kirby, Robert A. |
| Title: | Using the Stochastic Collocation Method for the Uncertainty Quantification of Drug Concentration Due to Depot Shape Variability |
| Journal: | IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING |
| Year: | 2009 |
| Vol.: | 56 |
| No.: | 3 |
| pp.: | 609-620 |
| Authors: | Witteveen, Jeroen A. S. and Loeven, Alex and Bijl, Hester |
| Title: | An adaptive Stochastic Finite Elements approach based on Newton-Cotes quadrature in simplex elements |
| Journal: | COMPUTERS \& FLUIDS |
| Year: | 2009 |
| Vol.: | 38 |
| No.: | 6 |
| pp.: | 1270-1288 |
| Authors: | Ma, Xiang and Zabaras, Nicholas |
| Title: | An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations |
| Journal: | JOURNAL OF COMPUTATIONAL PHYSICS |
| Year: | 2009 |
| Vol.: | 228 |
| No.: | 8 |
| pp.: | 3084-3113 |
| Authors: | Archibald, Rick and Gelb, Anne and Saxena, Rishu and Xiu, Dongbin |
| Title: | Discontinuity detection in multivariate space for stochastic simulations |
| Journal: | JOURNAL OF COMPUTATIONAL PHYSICS |
| Year: | 2009 |
| Vol.: | 228 |
| No.: | 7 |
| pp.: | 2676-2689 |
| Authors: | Xiu, Dongbin |
| Title: | Fast Numerical Methods for Stochastic Computations: A Review |
| Journal: | COMMUNICATIONS IN COMPUTATIONAL PHYSICS |
| Year: | 2009 |
| Vol.: | 5 |
| No.: | 2-4 |
| pp.: | 242-272 |
| Authors: | Xiu, Dongbin and Shen, Jie |
| Title: | Efficient stochastic Galerkin methods for random diffusion equations |
| Journal: | JOURNAL OF COMPUTATIONAL PHYSICS |
| Year: | 2009 |
| Vol.: | 228 |
| No.: | 2 |
| pp.: | 266-281 |
| Authors: | Ganapathysubramanian, B. and Zabaras, N. |
| Title: | A stochastic multiscale framework for modeling flow through random heterogeneous porous media |
| Journal: | JOURNAL OF COMPUTATIONAL PHYSICS |
| Year: | 2009 |
| Vol.: | 228 |
| No.: | 2 |
| pp.: | 591-618 |
| Authors: | Lee, S. H. and Chen, W. |
| Title: | A comparative study of uncertainty propagation methods for black-box-type problems |
| Journal: | STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION |
| Year: | 2009 |
| Vol.: | 37 |
| No.: | 3 |
| pp.: | 239-253 |
| Authors: | Ganis, Benjamin and Klie, Hector and Wheeler, Mary F. and Wildey, Tim and Yotov, Ivan and Zhang, Dongxiao |
| Title: | Stochastic collocation and mixed finite elements for flow in porous media |
| Journal: | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING |
| Year: | 2008 |
| Vol.: | 197 |
| No.: | 43-44 |
| pp.: | 3547-3559 |
| Authors: | Ganapathysubramanian, Basked and Zabaras, Nicholas |
| Title: | Modeling multiscale diffusion processes in random heterogeneous media |
| Journal: | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING |
| Year: | 2008 |
| Vol.: | 197 |
| No.: | 43-44 |
| pp.: | 3560-3573 |
| Authors: | Ding, Yan and Li, Tiejun and Zhang, Dongxiao and Zhang, Pingwen |
| Title: | Adaptive Stroud stochastic collocation method for flow in random porous media via Karhunen-Loeve expansion |
| Journal: | COMMUNICATIONS IN COMPUTATIONAL PHYSICS |
| Year: | 2008 |
| Vol.: | 4 |
| No.: | 1 |
| pp.: | 102-123 |
| Authors: | Xiu, Dongbin |
| Title: | Fast numerical methods for robust optimal design |
| Journal: | ENGINEERING OPTIMIZATION |
| Year: | 2008 |
| Vol.: | 40 |
| No.: | 6 |
| pp.: | 489-504 |
| Authors: | Zabaras, N. and Ganapathysubramanian, B. |
| Title: | A scalable framework for the solution of stochastic inverse problems using a sparse grid collocation approach |
| Journal: | JOURNAL OF COMPUTATIONAL PHYSICS |
| Year: | 2008 |
| Vol.: | 227 |
| No.: | 9 |
| pp.: | 4697-4735 |
| Authors: | Ganapathysubramanian, Baskar and Zabaras, Nicholas |
| Title: | A seamless approach towards stochastic modeling: Sparse grid collocation and data driven input models |
| Journal: | FINITE ELEMENTS IN ANALYSIS AND DESIGN |
| Year: | 2008 |
| Vol.: | 44 |
| No.: | 5 |
| pp.: | 298-320 |
| Authors: | Gottlieb, David and Xiu, Dongbin |
| Title: | Galerkin method for wave equations with uncertain coefficients |
| Journal: | COMMUNICATIONS IN COMPUTATIONAL PHYSICS |
| Year: | 2008 |
| Vol.: | 3 |
| No.: | 2 |
| pp.: | 505-518 |
| Authors: | Xiu, Dongbin and Sherwin, Spencer J. |
| Title: | Parametric uncertainty analysis of pulse wave propagation in a model of a human arterial network |
| Journal: | JOURNAL OF COMPUTATIONAL PHYSICS |
| Year: | 2007 |
| Vol.: | 226 |
| No.: | 2 |
| pp.: | 1385-1407 |
| Authors: | Ganapathysubramanian, Baskar and Zabaras, Nicholas |
| Title: | Modeling diffusion in random heterogeneous media: Data-driven models, stochastic collocation and the variational multiscale method |
| Journal: | JOURNAL OF COMPUTATIONAL PHYSICS |
| Year: | 2007 |
| Vol.: | 226 |
| No.: | 1 |
| pp.: | 326-353 |
| Authors: | Ganapathysubramanian, Baskar and Zabaras, Nicholas |
| Title: | Sparse grid collocation schemes for stochastic natural convection problems |
| Journal: | JOURNAL OF COMPUTATIONAL PHYSICS |
| Year: | 2007 |
| Vol.: | 225 |
| No.: | 1 |
| pp.: | 652-685 |