Diffusion equations S Ito Translations of Mathematical monographs, 1992 | 172 | 1992 |
Fourth-order alternating direction implicit compact finite difference schemes for two-dimensional Schrödinger equations Z Gao, S Xie Applied Numerical Mathematics 61 (4), 593-614, 2011 | 125 | 2011 |
Compact finite difference schemes with high accuracy for one-dimensional nonlinear Schrödinger equation SS Xie, GX Li, S Yi Computer Methods in Applied Mechanics and Engineering 198 (9-12), 1052-1060, 2009 | 124 | 2009 |
Numerical solution of one-dimensional Burgers’ equation using reproducing kernel function SS Xie, S Heo, S Kim, G Woo, S Yi Journal of Computational and Applied Mathematics 214 (2), 417-434, 2008 | 77 | 2008 |
Fourth-order compact difference and alternating direction implicit schemes for telegraph equations SS Xie, SC Yi, TI Kwon Computer Physics Communications 183 (3), 552-569, 2012 | 45 | 2012 |
A high order accurate bound-preserving compact finite difference scheme for scalar convection diffusion equations H Li, S Xie, X Zhang SIAM Journal on Numerical Analysis 56 (6), 3308-3345, 2018 | 27 | 2018 |
A compact finite difference method for solving Burgers' equation S Xie, G Li, S Yi, S Heo International journal for numerical methods in fluids 62 (7), 747-764, 2010 | 26 | 2010 |
High order compact block-centered finite difference schemes for elliptic and parabolic problems Y Shi, S Xie, D Liang, K Fu Journal of Scientific Computing 87, 1-26, 2021 | 17 | 2021 |
Hybrid Fourier-continuation method and weighted essentially non-oscillatory finite difference scheme for hyperbolic conservation laws in a single-domain framework P Li, Z Gao, WS Don, S Xie Journal of Scientific Computing 64, 670-695, 2015 | 14 | 2015 |
The Galerkin method for the KdV equation using a new basis of smooth piecewise cubic polynomials SY Hao, SS Xie, SC Yi Applied Mathematics and Computation 218 (17), 8659-8671, 2012 | 13 | 2012 |
A conservative compact finite difference scheme for the coupled Schrödinger-KdV equations S Xie, SC Yi Advances in Computational Mathematics 46 (1), 1, 2020 | 12 | 2020 |
High order compact finite difference schemes for a system of third order boundary value problem S Xie, P Li, Z Gao, H Wang Applied Mathematics and Computation 219 (5), 2564-2573, 2012 | 12 | 2012 |
A two-grid block-centered finite difference method for the nonlinear regularized long wave equation J Xu, S Xie, H Fu Applied Numerical Mathematics 171, 128-148, 2022 | 11 | 2022 |
A numerical method for the generalized regularized long wave equation using a reproducing kernel function S Xie, S Kim, G Woo, S Yi SIAM Journal on Scientific Computing 30 (5), 2263-2285, 2008 | 10 | 2008 |
A fourth-order block-centered compact difference scheme for nonlinear contaminant transport equations with adsorption Y Shi, S Xie, D Liang Applied Numerical Mathematics 171, 212-232, 2022 | 7 | 2022 |
Hybrid compact-WENO finite difference scheme for detonation waves simulations Y Niu, Z Gao, WS Don, S Xie, P Li Spectral and High Order Methods for Partial Differential Equations ICOSAHOM …, 2015 | 7 | 2015 |
Local Discontinuous Galerkin Methods for the abcd Nonlinear Boussinesq System J Sun, S Xie, Y Xing Communications on Applied Mathematics and Computation, 1-36, 2022 | 5 | 2022 |
Solution of semicoercive Signorini problem based on a duality scheme with modified Lagrangian functional RV Namm, GS Woo, SS Xie, SC Yi Journal of the Korean Mathematical Society 49 (4), 843-854, 2012 | 5 | 2012 |
海水入侵数值模拟的特征块中心差分法 王震, 谢树森 应用数学学报 29 (4), 633-645, 2006 | 5 | 2006 |
解四阶拟线性波动方程的一类二阶差分格式 王震, 谢树森 中国海洋大学学报: 自然科学版 34 (2), 330-336, 2004 | 5 | 2004 |