| Comparison of non-intrusive polynomial chaos and stochastic collocation methods for uncertainty quantification M Eldred, J Burkardt 47th AIAA aerospace sciences meeting including the new horizons forum and …, 2009 | 506 | 2009 |
| POD and CVT-based reduced-order modeling of Navier–Stokes flows J Burkardt, M Gunzburger, HC Lee Computer methods in applied mechanics and engineering 196 (1-3), 337-355, 2006 | 378 | 2006 |
| A locally parameterized continuation process WC Rheinboldt, JV Burkardt ACM Transactions on Mathematical Software (TOMS) 9 (2), 215-235, 1983 | 328 | 1983 |
| Centroidal Voronoi tessellation-based reduced-order modeling of complex systems J Burkardt, M Gunzburger, HC Lee SIAM Journal on Scientific Computing 28 (2), 459-484, 2006 | 180 | 2006 |
| Algorithm 596: a program for a locally parameterized WC Rheinboldt, JV Burkardt ACM Transactions on Mathematical Software (TOMS) 9 (2), 236-241, 1983 | 169 | 1983 |
| Comparison of pure and “Latinized” centroidal Voronoi tessellation against various other statistical sampling methods VJ Romero, JV Burkardt, MD Gunzburger, JS Peterson Reliability Engineering & System Safety 91 (10-11), 1266-1280, 2006 | 135 | 2006 |
| Latinized, improved LHS, and CVT point sets in hypercubes Y Saka, M Gunzburger, J Burkardt International Journal of Numerical Analysis and Modeling 4 (3-4), 729-743, 2007 | 89 | 2007 |
| Parallel finite-element implementation for higher-order ice-sheet models M Perego, M Gunzburger, J Burkardt Journal of Glaciology 58 (207), 76-88, 2012 | 59 | 2012 |
| Constrained CVT meshes and a comparison of triangular mesh generators H Nguyen, J Burkardt, M Gunzburger, L Ju, Y Saka Computational geometry 42 (1), 1-19, 2009 | 52 | 2009 |
| Insensitive functionals, inconsistent gradients, spurious minima, and regularized functionals in flow optimization problems J Burkardt, M Gunzburger, J Peterson International Journal of Computational Fluid Dynamics 16 (3), 171-185, 2002 | 51 | 2002 |
| PINK NOISE, 1/fα NOISE, AND THEIR EFFECT ON SOLUTIONS OF DIFFERENTIAL EQUATIONS M Stoyanov, M Gunzburger, J Burkardt International journal for uncertainty quantification 1 (3), 2011 | 46 | 2011 |
| Reduced order modeling of some nonlinear stochastic partial differential equations J Burkardt, M Gunzburger, C Webster International Journal of Numerical Analysis and Modeling 4 (3-4), 368-391, 2007 | 43 | 2007 |
| Parallel algorithms for planar and spherical Delaunay construction with an application to centroidal Voronoi tessellations DW Jacobsen, M Gunzburger, T Ringler, J Burkardt, J Peterson Geoscientific Model Development 6 (4), 1353-1365, 2013 | 41 | 2013 |
| Uniformity measures for point sample in hypercubes M Gunzburger, J Burkardt Rapp. tech. Florida State University (cf. p. 73), 2004 | 40 | 2004 |
| Simple Finite Element Methods for Approximating Predator–Prey Dynamics in Two Dimensions Using Matlab MR Garvie, J Burkardt, J Morgan Bulletin of mathematical biology 77, 548-578, 2015 | 35 | 2015 |
| Adaptive anisotropic meshing for steady convection-dominated problems H Nguyen, M Gunzburger, L Ju, J Burkardt Computer methods in applied mechanics and engineering 198 (37-40), 2964-2981, 2009 | 31 | 2009 |
| Initial application and evaluation of a promising new sampling method for response surface generation: centroidal Voronoi tessellation VJ Romero, J Burkardt, M Gunzburger, J Peterson, T Krishnamurthy 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials …, 2003 | 31 | 2003 |
| Effects of sample geometry on the dynamics and configurations of vortices in mesoscopic superconductors S Kim, J Burkardt, M Gunzburger, J Peterson, CR Hu Physical Review B—Condensed Matter and Materials Physics 76 (2), 024509, 2007 | 22 | 2007 |
| Control of steady incompressible 2D channel flow J Burkardt, J Peterson Flow Control, 111-126, 1995 | 22 | 1995 |
| User manual and supporting information for library of codes for centroidal Voronoi point placement and associated zeroth, first, and second moment determination J Burkardt, M Gunzburger, J Peterson, RM BRANNON Sandia National Lab.(SNL-NM), Albuquerque, NM (United States); Sandia …, 2002 | 21 | 2002 |
Hyung-Chun LeeAjou UniversityVerified email at ajou.ac.kr