Edit Profile (opens in new tab) Sun, Zhizhong Co-Author Distance Author ID: sun.zhizhong Published as: Sun, Zhi-Zhong; Sun, Zhizhong; Sun, Zhi-zhong; Sun, ZhiZhong; Sun, Zhi Zhong more...less Documents Indexed: 165 Publications since 1989, including 3 Books and 1 Additional arXiv Preprint Co-Authors: 76 Co-Authors with 141 Joint Publications 3,103 Co-Co-Authors all top 5 Co-Authors 23 single-authored 23 Gao, Guanghua 9 Zhao, Xuan 8 Hao, Zhaopeng 8 Ji, Cuicui 8 Liao, HongLin 8 Sun, Hong 8 Wu, Xiaonan 8 Zhang, Qifeng 7 Ren, Jincheng 7 Zhang, Yanan 6 Dai, Weizhong 6 Du, Rui 6 Du, Ruilian 6 Shen, Jinye 6 Wang, Xuping 5 Cao, Haiyan 5 Cao, Wanrong 4 Shi, Hansheng 4 Zhang, Jiwei 3 Zhao, Lei 2 Alikhanov, Anatoliĭ Alievich 2 Chen, Shaobing 2 Li, Fule 2 Li, Weidong 2 Li, Xueling 2 Liu, Jianming 2 Pan, Zhushan 2 Qi, Ren-jun 2 Qiao, Zhonghua 2 Qin, Yifan 2 Sun, Haiwei 2 Wang, Desheng 2 Wang, Jialing 2 Wang, Tingchun 2 Wu, Hongwei 2 Ye, Chao-rong 2 Zhang, Jiyuan 2 Zhang, Lingyun 2 Zhang, Zaibin 2 Zhang, Zhengru 2 Zhu, Youlan 1 Chen, Jinghua 1 Chen, Xuejuan 1 Chern, I-Liang 1 Cui, Jin 1 Fan, Kai 1 Ge, Biao 1 Han, Houde 1 Hesthaven, Jan S. 1 Huang, Yu 1 Jiang, Mingjie 1 Karniadakis, George Em 1 Li, Juan 1 Lin, Guang 1 Liu, Fawang 1 Lu, Xuan-ru 1 Peng, Fei 1 Ren, Yunzhu 1 Shen, Longjun 1 Shi, Peihu 1 Stynes, Martin Joseph 1 Su, Yucheng 1 Sun, Weiwei 1 Wan, Zhengsu 1 Wang, Hong 1 Wu, Chikuang 1 Wu, Jingyu 1 Xu, Peipei 1 Yan, Yonggui 1 Yang, Mei 1 Zhang, Hongwei 1 Zhang, Yulian 1 Zhang, Zhimin 1 Zhao, Dandan 1 Zhu, Qiding 1 Zhu, Yun all top 5 Serials 31 Numerical Methods for Partial Differential Equations 14 Journal of Computational Physics 12 Journal of Scientific Computing 8 Applied Mathematics and Computation 6 Journal of Southeast University. English Edition 6 International Journal of Computer Mathematics 6 East Asian Journal on Applied Mathematics 5 Journal of Computational and Applied Mathematics 5 Numerical Mathematics 5 Mathematica Numerica Sinica 4 SIAM Journal on Numerical Analysis 4 Journal of Nanjing University. Mathematical Biquarterly 4 Numerical Algorithms 4 Applied Mathematical Modelling 4 Numerical Mathematics: Theory, Methods and Applications 3 Computers & Mathematics with Applications 3 Journal of Computational Mathematics 3 Applied Mathematics Letters 3 Computational Methods in Applied Mathematics 2 Mathematics of Computation 2 Numerische Mathematik 2 Acta Mathematicae Applicatae Sinica 2 Applied Numerical Mathematics 2 Journal of Southeast University 2 Numerical Mathematics 2 Advances in Computational Mathematics 2 Communications in Computational Physics 2 Science China. Mathematics 2 Communications on Applied Mathematics and Computation 1 Mathematical Methods in the Applied Sciences 1 Applied Mathematics and Mechanics. (English Edition) 1 Science in China. Series A 1 SIAM Journal on Scientific Computing 1 Journal on Numerical Methods and Computer Applications 1 Chinese Journal of Numerical Mathematics and Applications 1 Journal of Mathematical Study 1 Central European Journal of Mathematics 1 Advances in Applied Mathematics and Mechanics 1 Scientia Sinica. Mathematica 1 De Gruyter Series in Applied and Numerical Mathematics 1 Springer Finance all top 5 Fields 159 Numerical analysis (65-XX) 121 Partial differential equations (35-XX) 10 Real functions (26-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Integral equations (45-XX) 7 Fluid mechanics (76-XX) 6 Ordinary differential equations (34-XX) 4 Mechanics of deformable solids (74-XX) 3 Probability theory and stochastic processes (60-XX) 2 Approximations and expansions (41-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 132 Publications have been cited 4,454 times in 2,343 Documents Cited by ▼ Year ▼ A fully discrete difference scheme for a diffusion-wave system. Zbl 1094.65083 Sun, Zhi-Zhong; Wu, Xiaonan 669 2006 A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications. Zbl 1349.65088 Gao, Guang-hua; Sun, Zhi-zhong; Zhang, Hong-wei 262 2014 A compact finite difference scheme for the fractional sub-diffusion equations. Zbl 1211.65112 Gao, Guanghua; Sun, Zhizhong 245 2011 A fourth-order compact ADI scheme for two-dimensional nonlinear space fractional Schrödinger equation. Zbl 1328.65187 Zhao, Xuan; Sun, Zhi-Zhong; Hao, Zhao-Peng 173 2014 A compact difference scheme for the fractional diffusion-wave equation. Zbl 1201.65154 Du, R.; Cao, W. R.; Sun, Z. Z. 141 2010 Finite difference methods for the time fractional diffusion equation on non-uniform meshes. Zbl 1349.65359 Zhang, Ya-nan; Sun, Zhi-zhong; Liao, Hong-lin 135 2014 Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations. Zbl 1196.65154 Liao, Honglin; Sun, Zhizhong 123 2010 A fourth-order approximation of fractional derivatives with its applications. Zbl 1352.65238 Hao, Zhao-peng; Sun, Zhi-zhong; Cao, Wan-rong 119 2015 Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation. Zbl 1242.65174 Zhang, Ya-Nan; Sun, Zhi-Zhong 117 2011 Compact alternating direction implicit scheme for the two-dimensional fractional diffusion-wave equation. Zbl 1251.65126 Zhang, Ya-Nan; Sun, Zhi-Zhong; Zhao, Xuan 116 2012 Second-order approximations for variable order fractional derivatives: algorithms and applications. Zbl 1349.65092 Zhao, Xuan; Sun, Zhi-zhong; Karniadakis, George Em 106 2015 Error estimates of Crank-Nicolson-type difference schemes for the subdiffusion equation. Zbl 1251.65132 Zhang, Yanan; Sun, Zhizhong; Wu, Hongwei 102 2011 Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions. Zbl 1291.35428 Ren, Jincheng; Sun, Zhi-Zhong; Zhao, Xuan 77 2013 Fast evaluation of the Caputo fractional derivative and its applications to fractional diffusion equations: a second-order scheme. Zbl 1488.65306 Yan, Yonggui; Sun, Zhi-Zhong; Zhang, Jiwei 74 2017 Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence. Zbl 1349.65295 Gao, Guang-Hua; Sun, Hai-Wei; Sun, Zhi-Zhong 72 2015 Error estimate of fourth-order compact scheme for linear Schrödinger equations. Zbl 1208.65130 Liao, Honglin; Sun, Zhizhong; Shi, Hansheng 71 2010 Some high-order difference schemes for the distributed-order differential equations. Zbl 1349.65296 Gao, Guang-hua; Sun, Hai-wei; Sun, Zhi-zhong 66 2015 A finite difference scheme for fractional sub-diffusion equations on an unbounded domain using artificial boundary conditions. Zbl 1242.65160 Gao, Guang-Hua; Sun, Zhi-Zhong; Zhang, Ya-Nan 66 2012 The temporal second order difference schemes based on the interpolation approximation for solving the time multi-term and distributed-order fractional sub-diffusion equations. Zbl 1381.65064 Gao, Guang-hua; Alikhanov, Anatoly A.; Sun, Zhi-zhong 65 2017 A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions. Zbl 1227.65075 Zhao, Xuan; Sun, Zhi-Zhong 65 2011 A second-order accurate linearized difference scheme for the two-dimensional Cahn-Hilliard equation. Zbl 0847.65056 Sun, Zhizhong 64 1995 A high-order compact finite difference scheme for the fractional sub-diffusion equation. Zbl 1328.65176 Ji, Cui-cui; Sun, Zhi-zhong 63 2015 On the \(L_\infty \) convergence of a difference scheme for coupled nonlinear Schrödinger equations. Zbl 1198.65173 Sun, Zhi-Zhong; Zhao, Dan-Dan 61 2010 Compact difference schemes for heat equation with Neumann boundary conditions. Zbl 1181.65115 Sun, Zhi-Zhong 54 2009 A linearized compact difference scheme for a class of nonlinear delay partial differential equations. Zbl 1352.65270 Sun, Zhi-Zhong; Zhang, Zai-Bin 52 2013 Two alternating direction implicit difference schemes for two-dimensional distributed-order fractional diffusion equations. Zbl 1373.65055 Gao, Guang-hua; Sun, Zhi-zhong 48 2016 Some temporal second order difference schemes for fractional wave equations. Zbl 1352.65269 Sun, Hong; Sun, Zhi-Zhong; Gao, Guang-Hua 48 2016 Numerical algorithm with high spatial accuracy for the fractional diffusion-wave equation with von Neumann boundary conditions. Zbl 1281.65113 Ren, Jincheng; Sun, Zhi-zhong 46 2013 On Tsertvadze’s difference scheme for the Kuramoto-Tsuzuki equation. Zbl 0933.65104 Sun, Zhizhong; Zhu, Qiding 41 1998 Compact Crank-Nicolson schemes for a class of fractional Cattaneo equation in inhomogeneous medium. Zbl 1319.65084 Zhao, Xuan; Sun, Zhi-Zhong 41 2015 Efficient numerical solution of the multi-term time fractional diffusion-wave equation. Zbl 1322.65088 Ren, Jincheng; Sun, Zhi-Zhong 38 2015 Stability and convergence of second-order schemes for the nonlinear epitaxial growth model without slope selection. Zbl 1305.65186 Qiao, Zhonghua; Sun, Zhi-Zhong; Zhang, Zhengru 38 2015 A three level linearized compact difference scheme for the Cahn-Hilliard equation. Zbl 1262.65106 Li, Juan; Sun, Zhizhong; Zhao, Xuan 37 2012 Some high order difference schemes for the space and time fractional Bloch-Torrey equations. Zbl 1410.65329 Sun, Hong; Sun, Zhizhong; Gao, Guanghua 36 2016 A finite difference scheme for semilinear space-fractional diffusion equations with time delay. Zbl 1410.65310 Hao, Zhaopeng; Fan, Kai; Cao, Wanrong; Sun, Zhizhong 35 2016 Two alternating direction implicit difference schemes with the extrapolation method for the two-dimensional distributed-order differential equations. Zbl 1443.65124 Gao, Guang-hua; Sun, Zhi-zhong 35 2015 Error analysis of a compact ADI scheme for the 2D fractional subdiffusion equation. Zbl 1304.65208 Zhang, Ya-Nan; Sun, Zhi-Zhong 34 2014 Convergence of difference scheme for heat equation in unbounded domains using artificial boundary conditions. Zbl 1053.65074 Wu, Xiaonan; Sun, Zhizhong 32 2004 The stability and convergence of two linearized finite difference schemes for the nonlinear epitaxial growth model. Zbl 1252.82071 Qiao, Zhonghua; Sun, Zhi-Zhong; Zhang, Zhengru 30 2012 Convergence analysis of a linearized Crank-Nicolson scheme for the two-dimensional complex Ginzburg-Landau equation. Zbl 1274.65262 Zhang, Ya-Nan; Sun, Zhi-Zhong; Wang, Ting-Chun 29 2013 Temporal second order difference schemes for the multi-dimensional variable-order time fractional sub-diffusion equations. Zbl 1447.65020 Du, Ruilian; Alikhanov, Anatoly A.; Sun, Zhi-Zhong 29 2020 The finite difference approximation for a class of fractional sub-diffusion equations on a space unbounded domain. Zbl 1286.35251 Gao, Guang-Hua; Sun, Zhi-Zhong 28 2013 The stability and convergence of a difference scheme for the Schrödinger equation on an infinite domain by using artificial boundary conditions. Zbl 1094.65088 Sun, Zhi-zhong; Wu, Xiaonan 28 2006 The temporal second order difference schemes based on the interpolation approximation for the time multi-term fractional wave equation. Zbl 1437.35696 Sun, Hong; Zhao, Xuan; Sun, Zhi-Zhong 27 2019 Numerical algorithms with high spatial accuracy for the fourth-order fractional sub-diffusion equations with the first Dirichlet boundary conditions. Zbl 1373.65057 Ji, Cui-cui; Sun, Zhi-zhong; Hao, Zhao-peng 27 2016 Efficient and stable numerical methods for multi-term time fractional sub-diffusion equations. Zbl 1320.65120 Ren, Jincheng; Sun, Zhi-Zhong 25 2014 Fast finite difference schemes for time-fractional diffusion equations with a weak singularity at initial time. Zbl 1468.65110 Shen, Jin-Ye; Sun, Zhi-Zhong; Du, Rui 25 2018 A linearized high-order difference scheme for the fractional Ginzburg-Landau equation. Zbl 1359.65150 Hao, Zhao-Peng; Sun, Zhi-Zhong 24 2017 Two unconditionally stable and convergent difference schemes with the extrapolation method for the one-dimensional distributed-order differential equations. Zbl 1339.65115 Gao, Guang-Hua; Sun, Zhi-Zhong 23 2016 A three-level linearized compact difference scheme for the Ginzburg-Landau equation. Zbl 1320.65116 Hao, Zhao-Peng; Sun, Zhi-Zhong; Cao, Wan-Rong 22 2015 Finite difference methods for a nonlinear and strongly coupled heat and moisture transport system in textile materials. Zbl 1332.76034 Sun, Weiwei; Sun, Zhizhong 22 2012 Compact difference schemes for heat equation with Neumann boundary conditions. II. Zbl 1422.65152 Gao, Guang-Hua; Sun, Zhi-Zhong 22 2013 An H2N2 interpolation for Caputo derivative with order in \((1,2)\) and its application to time-fractional wave equations in more than one space dimension. Zbl 1439.65098 Shen, Jinye; Li, Changpin; Sun, Zhi-zhong 20 2020 Maximum norm error estimates of efficient difference schemes for second-order wave equations. Zbl 1227.65082 Liao, Honglin; Sun, Zhizhong 19 2011 Two alternating direction implicit difference schemes for solving the two-dimensional time distributed-order wave equations. Zbl 1372.65230 Gao, Guang-hua; Sun, Zhi-zhong 18 2016 On two linearized difference schemes for Burgers’ equation. Zbl 1398.65219 Sun, Hong; Sun, Zhi-zhong 18 2015 A note on finite difference method for generalized Zakharov equations. Zbl 1007.65052 Sun, Zhizhong 17 2000 A second-order accurate finite difference scheme for a class of nonlocal parabolic equations with natural boundary conditions. Zbl 0873.65129 Sun, Zhizhong 16 1996 Fractional differential equations. Finite difference methods. Zbl 1440.65003 Sun, Zhi-zhong; Gao, Guang-hua 16 2020 Two difference schemes for solving the one-dimensional time distributed-order fractional wave equations. Zbl 1372.65229 Gao, Guang-hua; Sun, Zhi-zhong 15 2017 Lubich second-order methods for distributed-order time-fractional differential equations with smooth solutions. Zbl 1457.65047 Du, Rui; Hao, Zhao-Peng; Sun, Zhi-Zhong 14 2016 The high-order compact numerical algorithms for the two-dimensional fractional sub-diffusion equation. Zbl 1410.65315 Ji, Cui-cui; Sun, Zhi-zhong 14 2015 Convergence of compact ADI method for solving linear Schrödinger equations. Zbl 1259.65135 Liao, Honglin; Sun, Zhizhong; Shi, Hansheng; Wang, Tingchun 14 2012 A new analytical technique of the \(L\)-type difference schemes for time fractional mixed sub-diffusion and diffusion-wave equations. Zbl 1524.35717 Sun, Zhi-zhong; Ji, Cui-cui; Du, Ruilian 14 2020 A finite difference scheme on graded meshes for time-fractional nonlinear Korteweg-de Vries equation. Zbl 1429.65199 Shen, Jinye; Sun, Zhi-zhong; Cao, Wanrong 14 2019 An unconditionally stable and \(O(\tau^2+h^4)\) order \(L_\infty\) convergent difference scheme for linear parabolic equations with variable coefficients. Zbl 0996.65096 Sun, Zhi-Zhong 13 2001 A linearized difference scheme for the Kuramoto-Tsuzuki equation. Zbl 0844.65068 Sun, Z. Z. 13 1996 A two-level compact ADI method for solving second-order wave equations. Zbl 1279.65099 Liao, Hong-Lin; Sun, Zhi-Zhong 13 2013 A finite difference scheme for solving the Timoshenko beam equations with boundary feedback. Zbl 1107.74049 Li, Fule; Sun, Zhizhong 13 2007 The pointwise error estimates of two energy-preserving fourth-order compact schemes for viscous Burgers’ equation. Zbl 1472.65103 Wang, Xuping; Zhang, Qifeng; Sun, Zhi-zhong 13 2021 New approximations for solving the Caputo-type fractional partial differential equations. Zbl 1452.65176 Ren, Jincheng; Sun, Zhi-zhong; Dai, Weizhong 13 2016 Analysis of high-order absorbing boundary conditions for the Schrödinger equation. Zbl 1388.65070 Zhang, Jiwei; Sun, Zhizhong; Wu, Xiaonan; Wang, Desheng 11 2011 Numerical schemes for solving the time-fractional dual-phase-lagging heat conduction model in a double-layered nanoscale thin film. Zbl 1434.65120 Ji, Cui-cui; Dai, Weizhong; Sun, Zhi-zhong 11 2019 Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation. Zbl 1480.65230 Zhang, Qifeng; Hesthaven, Jan S.; Sun, Zhi-zhong; Ren, Yunzhu 11 2021 A second-order finite difference scheme for solving the dual-phase-lagging equation in a double-layered nanoscale thin film. Zbl 1359.65161 Sun, Hong; Sun, Zhi-Zhong; Dai, Weizhong 10 2017 An analysis for a high-order difference scheme for numerical solution to \(U_{tt} = A(x,t)U_{xx} + F(x,t,u,u_{t},u_{x})\). Zbl 1119.65081 Li, Wei-Dong; Sun, Zhi-Zhong; Zhao, Lei 10 2007 A fast temporal second-order compact ADI difference scheme for the 2D multi-term fractional wave equation. Zbl 1461.65231 Sun, Hong; Sun, Zhi-zhong 10 2021 On the stability and convergence of a difference scheme for an one-dimensional parabolic inverse problem. Zbl 1119.65089 Ye, Chao-rong; Sun, Zhi-zhong 10 2007 A generalized box scheme for the numerical solution of the Kuramoto-Tsuzuki equation. Zbl 0990.65503 Sun, Zhizhong 9 1996 A high-order difference scheme for a nonlocal boundary-value problem for the heat equation. Zbl 0996.65095 Sun, Zhi-Zhong 9 2001 A new higher-order accurate numerical method for solving heat conduction in a double-layered film with the Neumann boundary condition. Zbl 1310.65096 Sun, Zhi-Zhong; Dai, Weizhong 9 2014 Corrected explicit-implicit domain decomposition algorithms for two-dimensional semilinear parabolic equations. Zbl 1183.65120 Liao, HongLin; Shi, HanSheng; Sun, ZhiZhong 9 2009 On \(L_\infty\) convergence of a linearized difference scheme for the Kuramoto-Tsuzuki equation. Zbl 0911.65076 Sun, Zhizhong 8 1997 Temporal second-order difference methods for solving multi-term time fractional mixed diffusion and wave equations. Zbl 1496.65111 Du, Rui-lian; Sun, Zhi-zhong 8 2021 Numerical method for solving the time-fractional dual-phase-lagging heat conduction equation with the temperature-jump boundary condition. Zbl 1422.65158 Ji, Cui-cui; Dai, Weizhong; Sun, Zhi-zhong 7 2018 An unconditionally stable and high-order convergent difference scheme for Stokes’ first problem for a heated generalized second grade fluid with fractional derivative. Zbl 1399.65154 Ji, Cuicui; Sun, Zhizhong 7 2017 Two finite difference schemes for the phase field crystal equation. Zbl 1335.82030 Cao, HaiYan; Sun, ZhiZhong 7 2015 A second order accurate difference scheme for the heat equation with concentrated capacity. Zbl 1060.65097 Sun, Zhizhong; Zhu, You-lan 7 2004 A three-level linearized finite difference scheme for the Camassa-Holm equation. Zbl 1290.65071 Cao, Hai-Yan; Sun, Zhi-Zhong; Gao, Guang-Hua 6 2014 The stability and convergence of an explicit difference scheme for the Schrödinger equation on an infinite domain by using artificial boundary conditions. Zbl 1175.65105 Sun, Zhi-Zhong 6 2006 A difference scheme for Burgers equation in an unbounded domain. Zbl 1214.65047 Sun, Zhi-Zhong; Wu, Xiao-Nan 6 2009 A linearized compact difference scheme for an one-dimensional parabolic inverse problem. Zbl 1168.65378 Ye, Chao-Rong; Sun, Zhi-Zhong 6 2009 Temporal second-order finite difference schemes for variable-order time-fractional wave equations. Zbl 1481.65128 Du, Rui-lian; Sun, Zhi-zhong; Wang, Hong 6 2022 A fast temporal second-order compact ADI scheme for time fractional mixed diffusion-wave equations. Zbl 1482.65141 Du, Rui-Lian; Sun, Zhi-Zhong 6 2021 Maximum norm error estimates of the Crank-Nicolson scheme for solving a linear moving boundary problem. Zbl 1204.65112 Cao, Wan-Rong; Sun, Zhi-Zhong 6 2010 Maximum norm error analysis of explicit schemes for two-dimensional nonlinear Schrödinger equations. Zbl 1488.65255 Liao, Honglin; Sun, Zhizhong; Shi, Hansheng 6 2010 A high order accurate numerical method for solving two-dimensional dual-phase-lagging equation with temperature jump boundary condition in nanoheat conduction. Zbl 1335.65074 Sun, Hong; Du, Rui; Dai, Weizhong; Sun, Zhi-Zhong 5 2015 Linearly compact scheme for 2D Sobolev equation with Burgers’ type nonlinearity. Zbl 1500.65049 Zhang, Qifeng; Qin, Yifan; Sun, Zhi-zhong 5 2022 Two finite difference schemes for multi-dimensional fractional wave equations with weakly singular solutions. Zbl 1476.65191 Shen, Jinye; Stynes, Martin; Sun, Zhi-Zhong 5 2021 The study of exact and numerical solutions of the generalized viscous Burgers’ equation. Zbl 1453.65240 Zhang, Qifeng; Qin, Yifan; Wang, Xuping; Sun, Zhi-zhong 5 2021 A fourth-order accurate numerical method for the distributed-order Riesz space fractional diffusion equation. Zbl 07776962 Chen, Xuejuan; Chen, Jinghua; Liu, Fawang; Sun, Zhi-zhong 1 2023 Finite difference schemes for the fourth-order parabolic equations with different boundary value conditions. Zbl 07779717 Lu, Xuan-ru; Gao, Guang-Hua; Sun, Zhi-Zhong 1 2023 Finite difference methods for nonlinear evolution equations. Zbl 07658424 Sun, Zhi-Zhong; Zhang, Qifeng; Gao, Guang-hua 1 2023 Temporal second-order finite difference schemes for variable-order time-fractional wave equations. Zbl 1481.65128 Du, Rui-lian; Sun, Zhi-zhong; Wang, Hong 6 2022 Linearly compact scheme for 2D Sobolev equation with Burgers’ type nonlinearity. Zbl 1500.65049 Zhang, Qifeng; Qin, Yifan; Sun, Zhi-zhong 5 2022 Some numerical extrapolation methods for the fractional sub-diffusion equation and fractional wave equation based on the \(L1\) formula. Zbl 1513.65304 Qi, Ren-jun; Sun, Zhi-zhong 2 2022 Optimal convergence rate of the explicit Euler method for convection-diffusion equations. Zbl 1524.65436 Zhang, Qifeng; Zhang, Jiyuan; Sun, Zhi-zhong 1 2022 The pointwise error estimates of two energy-preserving fourth-order compact schemes for viscous Burgers’ equation. Zbl 1472.65103 Wang, Xuping; Zhang, Qifeng; Sun, Zhi-zhong 13 2021 Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation. Zbl 1480.65230 Zhang, Qifeng; Hesthaven, Jan S.; Sun, Zhi-zhong; Ren, Yunzhu 11 2021 A fast temporal second-order compact ADI difference scheme for the 2D multi-term fractional wave equation. Zbl 1461.65231 Sun, Hong; Sun, Zhi-zhong 10 2021 Temporal second-order difference methods for solving multi-term time fractional mixed diffusion and wave equations. Zbl 1496.65111 Du, Rui-lian; Sun, Zhi-zhong 8 2021 A fast temporal second-order compact ADI scheme for time fractional mixed diffusion-wave equations. Zbl 1482.65141 Du, Rui-Lian; Sun, Zhi-Zhong 6 2021 Two finite difference schemes for multi-dimensional fractional wave equations with weakly singular solutions. Zbl 1476.65191 Shen, Jinye; Stynes, Martin; Sun, Zhi-Zhong 5 2021 The study of exact and numerical solutions of the generalized viscous Burgers’ equation. Zbl 1453.65240 Zhang, Qifeng; Qin, Yifan; Wang, Xuping; Sun, Zhi-zhong 5 2021 Temporal second order difference schemes for the multi-dimensional variable-order time fractional sub-diffusion equations. Zbl 1447.65020 Du, Ruilian; Alikhanov, Anatoly A.; Sun, Zhi-Zhong 29 2020 An H2N2 interpolation for Caputo derivative with order in \((1,2)\) and its application to time-fractional wave equations in more than one space dimension. Zbl 1439.65098 Shen, Jinye; Li, Changpin; Sun, Zhi-zhong 20 2020 Fractional differential equations. Finite difference methods. Zbl 1440.65003 Sun, Zhi-zhong; Gao, Guang-hua 16 2020 A new analytical technique of the \(L\)-type difference schemes for time fractional mixed sub-diffusion and diffusion-wave equations. Zbl 1524.35717 Sun, Zhi-zhong; Ji, Cui-cui; Du, Ruilian 14 2020 The pointwise estimates of a conservative difference scheme for Burgers’ equation. Zbl 07777663 Zhang, Qifeng; Wang, Xuping; Sun, Zhi-zhong 4 2020 The conservation and convergence of two finite difference schemes for KdV equations with initial and boundary value conditions. Zbl 1463.65246 Shen, Jinye; Wang, Xuping; Sun, Zhizhong 2 2020 The temporal second order difference schemes based on the interpolation approximation for the time multi-term fractional wave equation. Zbl 1437.35696 Sun, Hong; Zhao, Xuan; Sun, Zhi-Zhong 27 2019 A finite difference scheme on graded meshes for time-fractional nonlinear Korteweg-de Vries equation. Zbl 1429.65199 Shen, Jinye; Sun, Zhi-zhong; Cao, Wanrong 14 2019 Numerical schemes for solving the time-fractional dual-phase-lagging heat conduction model in a double-layered nanoscale thin film. Zbl 1434.65120 Ji, Cui-cui; Dai, Weizhong; Sun, Zhi-zhong 11 2019 A linearized second-order difference scheme for the nonlinear time-fractional fourth-order reaction-diffusion equation. Zbl 1463.65250 Sun, Hong; Sun, Zhizhong; Du, Rui 3 2019 A compact difference scheme for multi-point boundary value problems of heat equations. Zbl 1449.65203 Wang, Xuping; Sun, Zhizhong 1 2019 Fast finite difference schemes for time-fractional diffusion equations with a weak singularity at initial time. Zbl 1468.65110 Shen, Jin-Ye; Sun, Zhi-Zhong; Du, Rui 25 2018 Numerical method for solving the time-fractional dual-phase-lagging heat conduction equation with the temperature-jump boundary condition. Zbl 1422.65158 Ji, Cui-cui; Dai, Weizhong; Sun, Zhi-zhong 7 2018 A high-order difference scheme for the space and time fractional Bloch-Torrey equation. Zbl 1382.65262 Zhu, Yun; Sun, Zhi-Zhong 3 2018 Stability and convergence of difference schemes for multi-dimensional parabolic equations with variable coefficients and mixed derivatives. Zbl 1390.65071 Ji, Cui-Cui; Du, Rui; Sun, Zhi-Zhong 2 2018 Optimal error estimates in numerical solution of time fractional Schrödinger equations on unbounded domains. Zbl 1468.65111 Sun, Zhi-Zhong; Zhang, Jiwei; Zhang, Zhimin 2 2018 Fast evaluation of the Caputo fractional derivative and its applications to fractional diffusion equations: a second-order scheme. Zbl 1488.65306 Yan, Yonggui; Sun, Zhi-Zhong; Zhang, Jiwei 74 2017 The temporal second order difference schemes based on the interpolation approximation for solving the time multi-term and distributed-order fractional sub-diffusion equations. Zbl 1381.65064 Gao, Guang-hua; Alikhanov, Anatoly A.; Sun, Zhi-zhong 65 2017 A linearized high-order difference scheme for the fractional Ginzburg-Landau equation. Zbl 1359.65150 Hao, Zhao-Peng; Sun, Zhi-Zhong 24 2017 Two difference schemes for solving the one-dimensional time distributed-order fractional wave equations. Zbl 1372.65229 Gao, Guang-hua; Sun, Zhi-zhong 15 2017 A second-order finite difference scheme for solving the dual-phase-lagging equation in a double-layered nanoscale thin film. Zbl 1359.65161 Sun, Hong; Sun, Zhi-Zhong; Dai, Weizhong 10 2017 An unconditionally stable and high-order convergent difference scheme for Stokes’ first problem for a heated generalized second grade fluid with fractional derivative. Zbl 1399.65154 Ji, Cuicui; Sun, Zhizhong 7 2017 A high-order difference scheme for the fractional sub-diffusion equation. Zbl 1364.65164 Hao, Zhao-Peng; Lin, Guang; Sun, Zhi-Zhong 3 2017 Two alternating direction implicit difference schemes for two-dimensional distributed-order fractional diffusion equations. Zbl 1373.65055 Gao, Guang-hua; Sun, Zhi-zhong 48 2016 Some temporal second order difference schemes for fractional wave equations. Zbl 1352.65269 Sun, Hong; Sun, Zhi-Zhong; Gao, Guang-Hua 48 2016 Some high order difference schemes for the space and time fractional Bloch-Torrey equations. Zbl 1410.65329 Sun, Hong; Sun, Zhizhong; Gao, Guanghua 36 2016 A finite difference scheme for semilinear space-fractional diffusion equations with time delay. Zbl 1410.65310 Hao, Zhaopeng; Fan, Kai; Cao, Wanrong; Sun, Zhizhong 35 2016 Numerical algorithms with high spatial accuracy for the fourth-order fractional sub-diffusion equations with the first Dirichlet boundary conditions. Zbl 1373.65057 Ji, Cui-cui; Sun, Zhi-zhong; Hao, Zhao-peng 27 2016 Two unconditionally stable and convergent difference schemes with the extrapolation method for the one-dimensional distributed-order differential equations. Zbl 1339.65115 Gao, Guang-Hua; Sun, Zhi-Zhong 23 2016 Two alternating direction implicit difference schemes for solving the two-dimensional time distributed-order wave equations. Zbl 1372.65230 Gao, Guang-hua; Sun, Zhi-zhong 18 2016 Lubich second-order methods for distributed-order time-fractional differential equations with smooth solutions. Zbl 1457.65047 Du, Rui; Hao, Zhao-Peng; Sun, Zhi-Zhong 14 2016 New approximations for solving the Caputo-type fractional partial differential equations. Zbl 1452.65176 Ren, Jincheng; Sun, Zhi-zhong; Dai, Weizhong 13 2016 A fourth-order approximation of fractional derivatives with its applications. Zbl 1352.65238 Hao, Zhao-peng; Sun, Zhi-zhong; Cao, Wan-rong 119 2015 Second-order approximations for variable order fractional derivatives: algorithms and applications. Zbl 1349.65092 Zhao, Xuan; Sun, Zhi-zhong; Karniadakis, George Em 106 2015 Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence. Zbl 1349.65295 Gao, Guang-Hua; Sun, Hai-Wei; Sun, Zhi-Zhong 72 2015 Some high-order difference schemes for the distributed-order differential equations. Zbl 1349.65296 Gao, Guang-hua; Sun, Hai-wei; Sun, Zhi-zhong 66 2015 A high-order compact finite difference scheme for the fractional sub-diffusion equation. Zbl 1328.65176 Ji, Cui-cui; Sun, Zhi-zhong 63 2015 Compact Crank-Nicolson schemes for a class of fractional Cattaneo equation in inhomogeneous medium. Zbl 1319.65084 Zhao, Xuan; Sun, Zhi-Zhong 41 2015 Efficient numerical solution of the multi-term time fractional diffusion-wave equation. Zbl 1322.65088 Ren, Jincheng; Sun, Zhi-Zhong 38 2015 Stability and convergence of second-order schemes for the nonlinear epitaxial growth model without slope selection. Zbl 1305.65186 Qiao, Zhonghua; Sun, Zhi-Zhong; Zhang, Zhengru 38 2015 Two alternating direction implicit difference schemes with the extrapolation method for the two-dimensional distributed-order differential equations. Zbl 1443.65124 Gao, Guang-hua; Sun, Zhi-zhong 35 2015 A three-level linearized compact difference scheme for the Ginzburg-Landau equation. Zbl 1320.65116 Hao, Zhao-Peng; Sun, Zhi-Zhong; Cao, Wan-Rong 22 2015 On two linearized difference schemes for Burgers’ equation. Zbl 1398.65219 Sun, Hong; Sun, Zhi-zhong 18 2015 The high-order compact numerical algorithms for the two-dimensional fractional sub-diffusion equation. Zbl 1410.65315 Ji, Cui-cui; Sun, Zhi-zhong 14 2015 Two finite difference schemes for the phase field crystal equation. Zbl 1335.82030 Cao, HaiYan; Sun, ZhiZhong 7 2015 A high order accurate numerical method for solving two-dimensional dual-phase-lagging equation with temperature jump boundary condition in nanoheat conduction. Zbl 1335.65074 Sun, Hong; Du, Rui; Dai, Weizhong; Sun, Zhi-Zhong 5 2015 A high accurate and conservative difference scheme for the solutions of nonlinear Schrödinger equations. Zbl 1340.65166 Cui, Jin; Sun, Zhizhong; Wu, Hongwei 4 2015 Maximum norm error analysis of difference schemes for fractional diffusion equations. Zbl 1339.65136 Ren, Jincheng; Sun, Zhi-zhong 3 2015 A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications. Zbl 1349.65088 Gao, Guang-hua; Sun, Zhi-zhong; Zhang, Hong-wei 262 2014 A fourth-order compact ADI scheme for two-dimensional nonlinear space fractional Schrödinger equation. Zbl 1328.65187 Zhao, Xuan; Sun, Zhi-Zhong; Hao, Zhao-Peng 173 2014 Finite difference methods for the time fractional diffusion equation on non-uniform meshes. Zbl 1349.65359 Zhang, Ya-nan; Sun, Zhi-zhong; Liao, Hong-lin 135 2014 Error analysis of a compact ADI scheme for the 2D fractional subdiffusion equation. Zbl 1304.65208 Zhang, Ya-Nan; Sun, Zhi-Zhong 34 2014 Efficient and stable numerical methods for multi-term time fractional sub-diffusion equations. Zbl 1320.65120 Ren, Jincheng; Sun, Zhi-Zhong 25 2014 A new higher-order accurate numerical method for solving heat conduction in a double-layered film with the Neumann boundary condition. Zbl 1310.65096 Sun, Zhi-Zhong; Dai, Weizhong 9 2014 A three-level linearized finite difference scheme for the Camassa-Holm equation. Zbl 1290.65071 Cao, Hai-Yan; Sun, Zhi-Zhong; Gao, Guang-Hua 6 2014 A second-order three-level difference scheme for a magneto-thermo-elasticity model. Zbl 1311.74136 Cao, Hai-Yan; Sun, Zhi-Zhong; Zhao, Xuan 1 2014 A numerical method for solving the nonlinear Fermi-Pasta-Ulam problem. Zbl 1290.65081 Ren, Jincheng; Sun, Zhi-Zhong; Cao, Hai-Yan 1 2014 Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions. Zbl 1291.35428 Ren, Jincheng; Sun, Zhi-Zhong; Zhao, Xuan 77 2013 A linearized compact difference scheme for a class of nonlinear delay partial differential equations. Zbl 1352.65270 Sun, Zhi-Zhong; Zhang, Zai-Bin 52 2013 Numerical algorithm with high spatial accuracy for the fractional diffusion-wave equation with von Neumann boundary conditions. Zbl 1281.65113 Ren, Jincheng; Sun, Zhi-zhong 46 2013 Convergence analysis of a linearized Crank-Nicolson scheme for the two-dimensional complex Ginzburg-Landau equation. Zbl 1274.65262 Zhang, Ya-Nan; Sun, Zhi-Zhong; Wang, Ting-Chun 29 2013 The finite difference approximation for a class of fractional sub-diffusion equations on a space unbounded domain. Zbl 1286.35251 Gao, Guang-Hua; Sun, Zhi-Zhong 28 2013 Compact difference schemes for heat equation with Neumann boundary conditions. II. Zbl 1422.65152 Gao, Guang-Hua; Sun, Zhi-Zhong 22 2013 A two-level compact ADI method for solving second-order wave equations. Zbl 1279.65099 Liao, Hong-Lin; Sun, Zhi-Zhong 13 2013 Derivative securities and difference methods. 2nd ed. Zbl 1337.91006 Zhu, You-lan; Wu, Xiaonan; Chern, I-Liang; Sun, Zhi-zhong 2 2013 Compact alternating direction implicit scheme for the two-dimensional fractional diffusion-wave equation. Zbl 1251.65126 Zhang, Ya-Nan; Sun, Zhi-Zhong; Zhao, Xuan 116 2012 A finite difference scheme for fractional sub-diffusion equations on an unbounded domain using artificial boundary conditions. Zbl 1242.65160 Gao, Guang-Hua; Sun, Zhi-Zhong; Zhang, Ya-Nan 66 2012 A three level linearized compact difference scheme for the Cahn-Hilliard equation. Zbl 1262.65106 Li, Juan; Sun, Zhizhong; Zhao, Xuan 37 2012 The stability and convergence of two linearized finite difference schemes for the nonlinear epitaxial growth model. Zbl 1252.82071 Qiao, Zhonghua; Sun, Zhi-Zhong; Zhang, Zhengru 30 2012 Finite difference methods for a nonlinear and strongly coupled heat and moisture transport system in textile materials. Zbl 1332.76034 Sun, Weiwei; Sun, Zhizhong 22 2012 Convergence of compact ADI method for solving linear Schrödinger equations. Zbl 1259.65135 Liao, Honglin; Sun, Zhizhong; Shi, Hansheng; Wang, Tingchun 14 2012 A finite difference approach for the initial-boundary value problem of the fractional Klein-Kramers equation in phase space. Zbl 1254.65014 Gao, Guang-hua; Sun, Zhi-zhong 4 2012 A linearized difference scheme for semilinear parabolic equations with nonlinear absorbing boundary conditions. Zbl 1245.65114 Sun, Zhi-Zhong; Wu, Xiaonan; Zhang, Jiwei; Wang, Desheng 2 2012 A compact finite difference scheme for the fractional sub-diffusion equations. Zbl 1211.65112 Gao, Guanghua; Sun, Zhizhong 245 2011 Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation. Zbl 1242.65174 Zhang, Ya-Nan; Sun, Zhi-Zhong 117 2011 Error estimates of Crank-Nicolson-type difference schemes for the subdiffusion equation. Zbl 1251.65132 Zhang, Yanan; Sun, Zhizhong; Wu, Hongwei 102 2011 A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions. Zbl 1227.65075 Zhao, Xuan; Sun, Zhi-Zhong 65 2011 Maximum norm error estimates of efficient difference schemes for second-order wave equations. Zbl 1227.65082 Liao, Honglin; Sun, Zhizhong 19 2011 Analysis of high-order absorbing boundary conditions for the Schrödinger equation. Zbl 1388.65070 Zhang, Jiwei; Sun, Zhizhong; Wu, Xiaonan; Wang, Desheng 11 2011 A second-order linearized finite difference scheme for the generalized Fisher-Kolmogorov-Petrovskii-Piskunov equation. Zbl 1244.65250 Zhang, Yu-Lian; Sun, Zhi-Zhong 1 2011 A compact difference scheme for the fractional diffusion-wave equation. Zbl 1201.65154 Du, R.; Cao, W. R.; Sun, Z. Z. 141 2010 Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations. Zbl 1196.65154 Liao, Honglin; Sun, Zhizhong 123 2010 Error estimate of fourth-order compact scheme for linear Schrödinger equations. Zbl 1208.65130 Liao, Honglin; Sun, Zhizhong; Shi, Hansheng 71 2010 On the \(L_\infty \) convergence of a difference scheme for coupled nonlinear Schrödinger equations. Zbl 1198.65173 Sun, Zhi-Zhong; Zhao, Dan-Dan 61 2010 Maximum norm error estimates of the Crank-Nicolson scheme for solving a linear moving boundary problem. Zbl 1204.65112 Cao, Wan-Rong; Sun, Zhi-Zhong 6 2010 Maximum norm error analysis of explicit schemes for two-dimensional nonlinear Schrödinger equations. Zbl 1488.65255 Liao, Honglin; Sun, Zhizhong; Shi, Hansheng 6 2010 ...and 32 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,302 Authors 88 Sun, Zhizhong 57 Liu, Fawang 53 Xu, Da 49 Dehghan Takht Fooladi, Mehdi 47 Liu, Yang 45 Li, Hong 41 Sun, Haiwei 39 Wang, Hong 35 Abbaszadeh, Mostafa 34 Vong, Seakweng 34 Zhang, Chengjian 32 Wang, Tingchun 32 Wang, Zhibo 31 Zhang, Jiwei 30 Huang, Chengming 30 Turner, Ian William 30 Yang, Xuehua 29 Wang, Yushun 29 Zhang, Haixiang 27 Li, Meng 27 Qiu, Wenlin 27 Zhang, Qifeng 27 Zheng, Xiangcheng 26 Jiang, Xiaoyun 26 Liao, HongLin 26 Tang, Yifa 26 Zaky, Mahmoud A. 25 Gao, Guanghua 25 Li, Dongfang 25 Zhang, Luming 24 Li, Changpin 23 Hendy, Ahmed S. 23 Zhao, Yanmin 22 Deng, Weihua 22 Karniadakis, George Em 22 Wang, Yuanming 21 Yan, Yubin 21 Zhang, Zhimin 20 Dai, Weizhong 20 Feng, Libo 20 Lu, Shujuan 20 Qiao, Leijie 20 Zeng, Fanhai 19 Alikhanov, Anatoliĭ Alievich 19 Xiao, Aiguo 18 Li, Xiaoli 18 Lyu, Pin 18 Yin, Baoli 18 Zhao, Yongliang 17 Gu, Xian-Ming 17 Huang, Jianfei 16 Bu, Weiping 16 Fu, Hongfei 15 Anh, Vo V. 15 Cai, Wenjun 15 Deng, Dingwen 15 Hao, Zhaopeng 15 Lei, Siulong 15 Mohebbi, Akbar 15 Omrani, Khaled 15 Shi, Dongyang 15 Wei, LeiLei 15 Zhou, Zhi 14 Cao, Wanrong 14 Chen, Hu 14 Ding, Hengfei 14 Machado, José António Tenreiro 14 Ren, Jincheng 14 Sun, Hongguang 14 Wang, Fenling 13 Băleanu, Dumitru I. 13 Mei, Liquan 13 Ran, Maohua 13 Rui, Hongxing 13 Wang, Jinfeng 13 Xu, Chuanju 12 Bhrawy, Ali Hassan 12 Chen, Minghua 12 Du, Rui 12 Fu, Yayun 12 Huang, Chaobao 12 Liang, Dong 12 Liu, Huan 12 Qiao, Zhonghua 12 Zayernouri, Mohsen 12 Zhang, Zhiyue 11 An, Na 11 Chen, Yanping 11 Cheng, Aijie 11 Ji, Cuicui 11 Jin, Bangti 11 Li, Binjie 11 Li, Buyang 11 Liu, Zhengguang 11 Ng, Michael Kwok-Po 11 Nikan, Omid 11 Singh, Vineet Kumar 11 Wang, Pengde 11 Xie, Jianqiang 11 Xie, Xiaoping ...and 2,202 more Authors all top 5 Cited in 202 Serials 185 Computers & Mathematics with Applications 158 Applied Numerical Mathematics 149 Journal of Scientific Computing 135 Applied Mathematics and Computation 119 Journal of Computational Physics 112 Journal of Computational and Applied Mathematics 108 International Journal of Computer Mathematics 104 Numerical Algorithms 99 Numerical Methods for Partial Differential Equations 64 Computational and Applied Mathematics 59 Mathematics and Computers in Simulation 56 Applied Mathematics Letters 54 Communications in Nonlinear Science and Numerical Simulation 52 Advances in Difference Equations 37 Journal of Applied Mathematics and Computing 36 Mathematical Methods in the Applied Sciences 34 Fractional Calculus & Applied Analysis 31 Applied Mathematical Modelling 29 SIAM Journal on Scientific Computing 26 Advances in Applied Mathematics and Mechanics 25 SIAM Journal on Numerical Analysis 24 East Asian Journal on Applied Mathematics 20 Chaos, Solitons and Fractals 20 Advances in Computational Mathematics 20 Communications on Applied Mathematics and Computation 17 Engineering Analysis with Boundary Elements 16 Communications in Computational Physics 15 Journal of Computational Mathematics 14 Applicable Analysis 14 Computer Methods in Applied Mechanics and Engineering 14 Computational Methods in Applied Mathematics 13 Numerical Mathematics: Theory, Methods and Applications 13 Science China. 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Second Series 3 Mediterranean Journal of Mathematics 3 Journal of Physics A: Mathematical and Theoretical 3 Communications in Theoretical Physics 3 Iranian Journal of Numerical Analysis and Optimization 3 Open Mathematics 2 Journal of Mathematical Physics 2 Lithuanian Mathematical Journal 2 Rocky Mountain Journal of Mathematics 2 Wave Motion 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Demonstratio Mathematica 2 Nonlinear Analysis. Theory, Methods & Applications. 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