Home » Publications » 2007-2012
- H.B. Chen, C.B. Miao, X.Q. Lv, A three-dimensional numerical internal tidal model involving adjoint method, Int. J. Numer. Meth. Fl., 69, 1584–1613, 2012．
- W.S. Don, G. Jacobs, A. Gregorio, J.P. Suarez, Assessing the Performance of a Three Dimensional Hybrid Central-WENO Finite Difference Scheme with Computation of a Sonic Injector in Supersonic Cross Flows, AAMM 4 (6): 719-736, 2012
- G.B. Jacobs, W.S. Don, T. Dittmann, High-Order Resolution Eulerian-Lagrangian Simulations of Particle Dispersion in the Accelerated Flow behind a Moving Shock, Theor. Comput. Fluid. Dynam. 26: 37-50, 2012
- R.V. Namm, G. Woo, S.S. Xie, S. Yi, Solution of semicoercive signorini problem based on a duality scheme with modified Lagrangian functional, J. Korean Math. Soc., 49(4): 843-854, 2012
- K. Fu, D. Liang, W. Wang, Y. Cheng, S. Gong, Multi-component atmospheric aerosols prediction by a multi-functional MC-HDMR approach. Atmos. Res., 113: 43-56, 2012
- H. Wang, H. Tian, A fast Galerkin method with efficient matrix assembly and storage for a Peridynamic model, J. Comput. Phys., 231: 7730-7738, 2012
- S.S. Xie, P. Li, Z. Gao, H. Wang, High order compact finite difference schemes for a system of third order boundary value problem, Appl. Math. Comp. 219: 2564-2573, 2012
- S.Y. Hao, S.S. Xie, S. Yi, The Galerkin method for the KdV equation using a new basis of smooth piecewise cubic polynomials, Appl. Math. Comp., 218: 8659-8671, 2012
- S.S. Xie, S. Yi, T.I. Kwon, Fourth-order compact difference and alternating direction implicit schemes for telegraph equations, Comp. Phy. Comm., 183: 552-569, 2012
- Z. Gao, W.S. Don, Z.Q. Li, High order weighted essentially non-oscillation schemes for two-dimensional detonation wave simulations, J. Sci. Comput. 53: 80-101, 2012
- W.T. Long, D. Xu, X.Y. Zeng, Quasi-wavelet based numerical method for a class of partial integro-differential equation, Appl. Math. Comput., 218(24): 11842-11850, 2012.
- M. Castro, B. Costa, W.S. Don, High Order Weighted Essentially Non-Oscillatory WENO-Z schemes for Hyperbolic Conservation Laws, J. Comput. Phys. 230 (5): 1766-1792, 2011 (The 22nd most cited paper published in 2011)
- Z. Gao, W.S. Don, Z.Q. Li, High order weighted essentially non-oscillation schemes for one-dimensional detonation wave simulations, J. Comput. Math. 29 (6): 623-638, 2011
- S.L. Zhang, Z. Gao, D.X. Piao, Pseudo-almost periodic viscosity solutions of second-order nonlinear parabolic equations, Nonlinear Analysis: TMA 74: 6970-6980, 2011
- Z. Gao, Jan S. Hesthaven, Efficient solution of ordinary differential equations with high dimensional parametrized uncertainty, Commun. Comput. Phys. 10: 253-278, 2011
- Z. Gao, S.S. Xie, Fourth-order alternating direction implicit compact finite difference schemes for two-dimensional Schodinger equations, Appl. Numer. Math. 61: 593-614, 2011
- M.L. Liu, Z. Gao, Jan S. Hesthaven, Adaptive sparse grid algorithms with Applications to electromagnetic scattering under uncertainty, Appl. Numer. Math. 61: 24-37, 2011
- A. Solomonoff, W.S. Don, Reduction of Linear Systems of ODEs with Optimal Replacement Variables, Commun. Comput. Phys. 9 (3): 756-779, 2011
- L.F. Wang, W.H. Ye, W.S. Don, Z.M. Sheng, Y.J. Li, X.T. He, Formation of large-scale structures in ablative Kelvin-Helmholtz instability, Phys. Plasmas. 17 (12): 1-9, 2010
- L.F. Wang, W.H. Ye, Z.M. Sheng, W.S. Don, Y.J. Li, X.T. He, Preheating ablation effects on the Rayleigh-Taylor instability in the weakly nonlinear regime, Phys. Plasmas. 17 (12): 1-8, 2010
- Z. Gao, Jan S. Hesthaven, On ANOVA expansions and strategies for choosing the anchor point, Appl. Math. Comp. 217: 3274-3285, 2010
- S.S. Xie, G.X. Li, S. Yi, S.Y. Heo, A compact finite difference method for solving Burgers equation, Int. J. Numer. Meth. Fluids, 62: 747-764, 2010
- S.S. Xie, G.X. Li, S. Yi, Compact Finite Difference Schemes with High Accuracy for One-dimensional Nonlinear Schrodinger Equation, Comput. Methods Appl. Mech. Engrg., 198(9-12): 1052-1060, 2009
- J.H. Jung, W.S. Don, Collocation Methods for Hyperbolic Partial Differential Equations with Singular Sources, AAMM 1 (6): 769-780, 2009
- W.S. Don, D. Gottlieb, J.H. Jung, A weighted multi-domain spectral penalty method with inhomogeneous grid for supersonic injective cavity flows, Commun. Comput. Phys. 5: 986-1011, 2009
- G. Jacobs, W.S. Don, A high-order WENO-Z finite difference based particle-source-in-cell method for computation of particle-laden flows with shocks, J. Comput. Phys. 228: 1365-1379, 2009
- R. Borges, M. Carmona, B. Costa, W.S. Don, An Improved Weighted Essentially Non-Oscillatory Scheme for Hyperbolic Conservation Laws, J. Comput. Phys. 227: 3191-3211, 2008 (The eighth most cited paper published in 2008)
- S.S. Xie, S. Kim, G. Woo, S. Yi, A Numerical Method for Generalized Regularized Long Wave Equation Using Reproducing Kernel Function, SIAM J. Sci. Comput., 30(5): 2263-2285, 2008
- S.S. Xie, S. Heo, S. Kim, G. Woo, S. Yi, Numerical Solution of One Dimensional Burgers Using Reproducing Kernel Function, J. Comput. Appl. Math., 214: 417-434, 2008
- B. Costa, W.S. Don, A. Simas, Spatial Resolution Properties of Mapped Spectral Chebyshev Methods, Proceeding of 2005 International Conference on Scientific Computing and Partial Differential Equations (SCPDF05), Recent Progress in Scientific Computing, eds. Wenbin Liu, Michael Ng, Zhong-Ci Shi, Science press, Beijing, pp. 179-188, 2007
- O. Schilling, M. Latini, W.S. Don, Physics of reshock and mixing in single-mode Richtmyer-Meshkov instability, Phys. Rev. E 76 (026319): 1-18, 2007
- M. Latini, O. Schilling, W.S. Don, High-resolution simulations and modeling of reshocked single-mode Richtmyer-Meshkov instability. Comparison to experimental data and to amplitude growth model predictions, Phys. Fluids 19, 024104: 1-19, 2007
- M. Latini, O. Schilling, W.S. Don, Effects of order of WENO flux reconstruction and spatial resolution on reshocked two-dimensional Richtmyer-Meshkov instability, J. Comput. Phys. 221 (2): 805-836, 2007
- B. Costa, W.S. Don, Multi-Domain Hybrid Spectral-WENO Methods for Hyperbolic Conservation Laws, J. Comput. Phys. 224 (2): 970-991, 2007
- B. Costa, W.S. Don, High Order Hybrid Central-WENO Finite Difference Methods for Conservation Laws, J. Comput. Appl. Math. 204 (2): 209-218, 2007
- M.S. Min, M.S. Kaber, W.S. Don, Fourier-Pade approximations and filtering for the spectral simulations of incompressible Boussinesq convection problem, Publications du Laboratorie Jacques-Louis Lions, R03021, Math. Comput. 76: 1275-1290, 2007