| Formation of δ-shocks and vacuum states in the vanishing pressure limit of solutions to the Euler equations for isentropic fluids GQ Chen, H Liu SIAM journal on mathematical analysis 34 (4), 925-938, 2003 | 400 | 2003 |
| The direct discontinuous Galerkin (DDG) methods for diffusion problems H Liu, J Yan SIAM Journal on Numerical Analysis 47 (1), 675-698, 2009 | 240 | 2009 |
| Concentration and cavitation in the vanishing pressure limit of solutions to the Euler equations for nonisentropic fluids GQ Chen, H Liu Physica D: Nonlinear Phenomena 189 (1-2), 141-165, 2004 | 179 | 2004 |
| Critical thresholds in Euler-Poisson equations S Engelberg, H Liu, E Tadmor Indiana University Mathematics Journal, 109-157, 2001 | 167 | 2001 |
| The direct discontinuous Galerkin (DDG) method for diffusion with interface corrections H Liu, J Yan Communications in Computational Physics 8 (3), 541, 2010 | 150 | 2010 |
| Critical thresholds in a convolution model for nonlinear conservation laws H Liu, E Tadmor SIAM journal on mathematical analysis 33 (4), 930-945, 2001 | 114 | 2001 |
| Spectral Dynamics of the Velocity Gradient Field¶ in Restricted Flows H Liu, E Tadmor Communications in mathematical physics 228, 435-466, 2002 | 99 | 2002 |
| Axial symmetry and classification of stationary solutions of Doi-Onsager equation on the sphere with Maier-Saupe potential H Liu, H Zhang, P Zhang | 98 | 2005 |
| Computing multivalued physical observables for the semiclassical limit of the Schrödinger equation S Jin, H Liu, S Osher, YHR Tsai Journal of Computational Physics 205 (1), 222-241, 2005 | 91 | 2005 |
| A free energy satisfying finite difference method for Poisson–Nernst–Planck equations H Liu, Z Wang Journal of Computational Physics 268, 363-376, 2014 | 81 | 2014 |
| A local discontinuous Galerkin method for the Korteweg–de Vries equation with boundary effect H Liu, J Yan Journal of Computational Physics 215 (1), 197-218, 2006 | 78 | 2006 |
| Rotation prevents finite-time breakdown H Liu, E Tadmor Physica D: Nonlinear Phenomena 188 (3-4), 262-276, 2004 | 78 | 2004 |
| Critical thresholds in 2D restricted Euler-Poisson equations E Tadmor, H Liu SIAM Journal on Applied Mathematics 63 (6), 1889-1910, 2003 | 78 | 2003 |
| Optimal error estimates of the direct discontinuous Galerkin method for convection-diffusion equations H Liu Mathematics of computation 84 (295), 2263-2295, 2015 | 73 | 2015 |
| Computational high-frequency wave propogation using the level-set method with applications to the semi-classical limit of the Schrödinger equations LT Cheng, H Liu, S Osher | 71 | 2003 |
| Error estimates for Gaussian beam superpositions H Liu, O Runborg, N Tanushev MATHEMATICS OF COMPUTATION 82 (282), 919--952, 2013 | 67 | 2013 |
| A free energy satisfying discontinuous Galerkin method for one-dimensional Poisson–Nernst–Planck systems H Liu, Z Wang Journal of Computational Physics 328, 413-437, 2017 | 61 | 2017 |
| Computing multi-valued physical observables for the high frequency limit of symmetric hyperbolic systems S Jin, H Liu, S Osher, R Tsai Journal of Computational Physics 210 (2), 497-518, 2005 | 51 | 2005 |
| A direct discontinuous Galerkin method for the generalized Korteweg-de Vries equation: Energy conservation and boundary effect N Yi, Y Huang, H Liu Journal of Computational Physics 242, 351--366, 2013 | 47 | 2013 |
| Recovery of high frequency wave fields from phase space–based measurements H Liu, J Ralston Multiscale Modeling & Simulation 8 (2), 622-644, 2010 | 46 | 2010 |
Eitan TadmorDistinguished University Professor of Mathematics, University of MarylandVerified email at umd.edu
