An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws R Borges, M Carmona, B Costa, WS Don Journal of Computational Physics 227 (6), 3191-3211, 2008 | 853 | 2008 |
High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws M Castro, B Costa, WS Don Journal of Computational Physics 230 (5), 1766-1792, 2011 | 352 | 2011 |
Accuracy and speed in computing the Chebyshev collocation derivative WS Don, A Solomonoff SIAM Journal on Scientific Computing 16 (6), 1253-1268, 1995 | 199 | 1995 |
The theoretical accuracy of Runge–Kutta time discretizations for the initial boundary value problem: a study of the boundary error MH Carpenter, D Gottlieb, S Abarbanel, WS Don SIAM Journal on Scientific Computing 16 (6), 1241-1252, 1995 | 172 | 1995 |
Effects of WENO flux reconstruction order and spatial resolution on reshocked two-dimensional Richtmyer–Meshkov instability M Latini, O Schilling, WS Don Journal of Computational Physics 221 (2), 805-836, 2007 | 147 | 2007 |
Accuracy of the weighted essentially non-oscillatory conservative finite difference schemes WS Don, R Borges Journal of Computational Physics 250, 347-372, 2013 | 144 | 2013 |
Numerical convergence study of nearly incompressible, inviscid Taylor–Green vortex flow CW Shu, WS Don, D Gottlieb, O Schilling, L Jameson Journal of Scientific Computing 24 (1), 1-27, 2005 | 121 | 2005 |
The Chebyshev–Legendre method: implementing Legendre methods on Chebyshev points WS Don, D Gottlieb SIAM Journal on Numerical Analysis 31 (6), 1519-1534, 1994 | 116 | 1994 |
High order hybrid central—WENO finite difference scheme for conservation laws B Costa, WS Don Journal of Computational and Applied Mathematics 204 (2), 209-218, 2007 | 108 | 2007 |
Physics of reshock and mixing in single-mode Richtmyer-Meshkov instability O Schilling, M Latini, WS Don Physical review E 76 (2), 026319, 2007 | 99 | 2007 |
Accuracy enhancement for higher derivatives using Chebyshev collocation and a mapping technique WS Don, A Solomonoff SIAM Journal on Scientific Computing 18 (4), 1040-1055, 1997 | 97 | 1997 |
High-resolution simulations and modeling of reshocked single-mode Richtmyer-Meshkov instability: Comparison to experimental data and to amplitude growth model predictions M Latini, O Schilling, WS Don Physics of Fluids 19 (2), 024104, 2007 | 84 | 2007 |
A high-order WENO-Z finite difference based particle-source-in-cell method for computation of particle-laden flows with shocks GB Jacobs, WS Don Journal of Computational Physics 228 (5), 1365-1379, 2009 | 81 | 2009 |
Numerical study of pseudospectral methods in shock wave applications WS Don Journal of Computational Physics 110 (1), 103-111, 1994 | 70 | 1994 |
On the computation of high order pseudospectral derivatives B Costa, WS Don Applied Numerical Mathematics 33 (1-4), 151-159, 2000 | 67 | 2000 |
Multi-domain hybrid spectral-WENO methods for hyperbolic conservation laws B Costa, WS Don Journal of Computational Physics 224 (2), 970-991, 2007 | 54 | 2007 |
High-order resolution Eulerian–Lagrangian simulations of particle dispersion in the accelerated flow behind a moving shock GB Jacobs, WS Don, T Dittmann Theoretical and Computational Fluid Dynamics 26 (1), 37-50, 2012 | 42 | 2012 |
Spectral simulation of supersonic reactive flows WS Don, D Gottlieb SIAM journal on numerical analysis 35 (6), 2370-2384, 1998 | 42 | 1998 |
Preheating ablation effects on the Rayleigh–Taylor instability in the weakly nonlinear regime LF Wang, WH Ye, ZM Sheng, WS Don, YJ Li, XT He Physics of Plasmas 17 (12), 122706, 2010 | 39 | 2010 |
A multidomain spectral method for supersonic reactive flows WS Don, D Gottlieb, JH Jung Journal of Computational Physics 192 (1), 325-354, 2003 | 38 | 2003 |