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Author ID: sun.zhizhong Recent zbMATH articles by "Sun, Zhizhong"
Published as: Sun, Zhi-Zhong; Sun, Zhizhong; Sun, Zhi-zhong; Sun, ZhiZhong; Sun, Z. Z.; Sun, Zhi Zhong
External Links: ORCID · Google Scholar · ResearchGate · dblp
Documents Indexed: 166 Publications since 1989, including 3 Books
Co-Authors: 76 Co-Authors with 143 Joint Publications
3,042 Co-Co-Authors
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 Mathematical Methods in the Applied Sciences
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 Applied Mathematics and Mechanics. (English Edition)
1 Science in China. Series A
1 SIAM Journal on Scientific Computing
1 Computational and Applied Mathematics
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

Publications by Year

Citations contained in zbMATH Open

135 Publications have been cited 4,814 times in 2,446 Documents Cited by Year
A fully discrete difference scheme for a diffusion-wave system. Zbl 1094.65083
Sun, Zhi-Zhong; Wu, Xiaonan
691
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
268
2014
A compact finite difference scheme for the fractional sub-diffusion equations. Zbl 1211.65112
Gao, Guanghua; Sun, Zhizhong
253
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
195
2014
A compact difference scheme for the fractional diffusion-wave equation. Zbl 1201.65154
Du, R.; Cao, W. R.; Sun, Z. Z.
144
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
144
2014
Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations. Zbl 1196.65154
Liao, Honglin; Sun, Zhizhong
126
2010
Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation. Zbl 1242.65174
Zhang, Ya-Nan; Sun, Zhi-Zhong
120
2011
A fourth-order approximation of fractional derivatives with its applications. Zbl 1352.65238
Hao, Zhao-peng; Sun, Zhi-zhong; Cao, Wan-rong
119
2015
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
112
2015
Error estimates of Crank-Nicolson-type difference schemes for the subdiffusion equation. Zbl 1251.65132
Zhang, Yanan; Sun, Zhizhong; Wu, Hongwei
103
2011
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
89
2017
Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions. Zbl 1291.35428
Ren, Jincheng; Sun, Zhi-Zhong; Zhao, Xuan
79
2013
Error estimate of fourth-order compact scheme for linear Schrödinger equations. Zbl 1208.65130
Liao, Honglin; Sun, Zhizhong; Shi, Hansheng
76
2010
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
73
2015
Some high-order difference schemes for the distributed-order differential equations. Zbl 1349.65296
Gao, Guang-hua; Sun, Hai-wei; Sun, Zhi-zhong
69
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
68
2012
A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions. Zbl 1227.65075
Zhao, Xuan; Sun, Zhi-Zhong
67
2011
A second-order accurate linearized difference scheme for the two-dimensional Cahn-Hilliard equation. Zbl 0847.65056
Sun, Zhizhong
65
1995
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 high-order compact finite difference scheme for the fractional sub-diffusion equation. Zbl 1328.65176
Ji, Cui-cui; Sun, Zhi-zhong
65
2015
On the \(L_\infty \) convergence of a difference scheme for coupled nonlinear Schrödinger equations. Zbl 1198.65173
Sun, Zhi-Zhong; Zhao, Dan-Dan
62
2010
Compact difference schemes for heat equation with Neumann boundary conditions. Zbl 1181.65115
Sun, Zhi-Zhong
55
2009
A linearized compact difference scheme for a class of nonlinear delay partial differential equations. Zbl 1352.65270
Sun, Zhi-Zhong; Zhang, Zai-Bin
55
2013
Some temporal second order difference schemes for fractional wave equations. Zbl 1352.65269
Sun, Hong; Sun, Zhi-Zhong; Gao, Guang-Hua
50
2016
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
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
45
1998
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
43
2015
A three level linearized compact difference scheme for the Cahn-Hilliard equation. Zbl 1262.65106
Li, Juan; Sun, Zhizhong; Zhao, Xuan
41
2012
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
39
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
39
2015
Some high order difference schemes for the space and time fractional Bloch-Torrey equations. Zbl 1410.65329
Sun, Hong; Sun, Zhizhong; Gao, Guanghua
37
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
36
2016
Error analysis of a compact ADI scheme for the 2D fractional subdiffusion equation. Zbl 1304.65208
Zhang, Ya-Nan; Sun, Zhi-Zhong
35
2014
Convergence of difference scheme for heat equation in unbounded domains using artificial boundary conditions. Zbl 1053.65074
Wu, Xiaonan; Sun, Zhizhong
33
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
31
2012
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
31
2020
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
29
2006
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
29
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
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
29
2018
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
28
2016
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
28
2019
Efficient and stable numerical methods for multi-term time fractional sub-diffusion equations. Zbl 1320.65120
Ren, Jincheng; Sun, Zhi-Zhong
25
2014
A linearized high-order difference scheme for the fractional Ginzburg-Landau equation. Zbl 1359.65150
Hao, Zhao-Peng; Sun, Zhi-Zhong
24
2017
A three-level linearized compact difference scheme for the Ginzburg-Landau equation. Zbl 1320.65116
Hao, Zhao-Peng; Sun, Zhi-Zhong; Cao, Wan-Rong
23
2015
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
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
22
2020
Fractional differential equations. Finite difference methods. Zbl 1440.65003
Sun, Zhi-zhong; Gao, Guang-hua
21
2020
Maximum norm error estimates of efficient difference schemes for second-order wave equations. Zbl 1227.65082
Liao, Honglin; Sun, Zhizhong
19
2011
A note on finite difference method for generalized Zakharov equations. Zbl 1007.65052
Sun, Zhizhong
18
2000
On two linearized difference schemes for Burgers’ equation. Zbl 1398.65219
Sun, Hong; Sun, Zhi-zhong
18
2015
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
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
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
16
2020
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
16
2021
New approximations for solving the Caputo-type fractional partial differential equations. Zbl 1452.65176
Ren, Jincheng; Sun, Zhi-zhong; Dai, Weizhong
16
2016
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
15
2001
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
15
2019
The high-order compact numerical algorithms for the two-dimensional fractional sub-diffusion equation. Zbl 1410.65315
Ji, Cui-cui; Sun, Zhi-zhong
15
2015
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
Convergence of compact ADI method for solving linear Schrödinger equations. Zbl 1259.65135
Liao, Honglin; Sun, Zhizhong; Shi, Hansheng; Wang, Tingchun
14
2012
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
A finite difference scheme for solving the Timoshenko beam equations with boundary feedback. Zbl 1107.74049
Li, Fule; Sun, Zhizhong
13
2007
A two-level compact ADI method for solving second-order wave equations. Zbl 1279.65099
Liao, Hong-Lin; Sun, Zhi-Zhong
13
2013
A linearized difference scheme for the Kuramoto-Tsuzuki equation. Zbl 0844.65068
Sun, Z. Z.
13
1996
Analysis of high-order absorbing boundary conditions for the Schrödinger equation. Zbl 1388.65070
Zhang, Jiwei; Sun, Zhizhong; Wu, Xiaonan; Wang, Desheng
12
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
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
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 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
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
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
Linearly compact scheme for 2D Sobolev equation with Burgers’ type nonlinearity. Zbl 1500.65049
Zhang, Qifeng; Qin, Yifan; Sun, Zhi-zhong
8
2022
A three-level linearized finite difference scheme for the Camassa-Holm equation. Zbl 1290.65071
Cao, Hai-Yan; Sun, Zhi-Zhong; Gao, Guang-Hua
8
2014
Two finite difference schemes for the phase field crystal equation. Zbl 1335.82030
Cao, HaiYan; Sun, ZhiZhong
8
2015
On \(L_\infty\) convergence of a linearized difference scheme for the Kuramoto-Tsuzuki equation. Zbl 0911.65076
Sun, Zhizhong
8
1997
Maximum norm error analysis of explicit schemes for two-dimensional nonlinear Schrödinger equations. Zbl 1488.65255
Liao, Honglin; Sun, Zhizhong; Shi, Hansheng
8
2010
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 second order accurate difference scheme for the heat equation with concentrated capacity. Zbl 1060.65097
Sun, Zhizhong; Zhu, You-lan
7
2004
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 multi-dimensional fractional wave equations with weakly singular solutions. Zbl 1476.65191
Shen, Jinye; Stynes, Martin; Sun, Zhi-Zhong
7
2021
Temporal second-order finite difference schemes for variable-order time-fractional wave equations. Zbl 1481.65128
Du, Rui-lian; Sun, Zhi-zhong; Wang, Hong
7
2022
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
A linearized compact difference scheme for an one-dimensional parabolic inverse problem. Zbl 1168.65378
Ye, Chao-Rong; Sun, Zhi-Zhong
6
2009
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
6
2015
A new class of difference schemes for linear parabolic equations in 1-D. Zbl 0900.65261
Sun, Zhizhong
6
1994
The pointwise estimates of a conservative difference scheme for Burgers’ equation. Zbl 07777663
Zhang, Qifeng; Wang, Xuping; Sun, Zhi-zhong
6
2020
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
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
2
2023
Finite difference methods for nonlinear evolution equations. Zbl 07658424
Sun, Zhi-Zhong; Zhang, Qifeng; Gao, Guang-hua
2
2023
The compact difference approach for the fourth-order parabolic equations with the first Neumann boundary value conditions. Zbl 07783885
Gao, Guang-hua; Huang, Yu; Sun, Zhi-Zhong
1
2023
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
Linearly compact scheme for 2D Sobolev equation with Burgers’ type nonlinearity. Zbl 1500.65049
Zhang, Qifeng; Qin, Yifan; Sun, Zhi-zhong
8
2022
Temporal second-order finite difference schemes for variable-order time-fractional wave equations. Zbl 1481.65128
Du, Rui-lian; Sun, Zhi-zhong; Wang, Hong
7
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
16
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
Two finite difference schemes for multi-dimensional fractional wave equations with weakly singular solutions. Zbl 1476.65191
Shen, Jinye; Stynes, Martin; Sun, Zhi-Zhong
7
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
6
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
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
31
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
22
2020
Fractional differential equations. Finite difference methods. Zbl 1440.65003
Sun, Zhi-zhong; Gao, Guang-hua
21
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
16
2020
The pointwise estimates of a conservative difference scheme for Burgers’ equation. Zbl 07777663
Zhang, Qifeng; Wang, Xuping; Sun, Zhi-zhong
6
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
3
2020
Two-level linearized and local uncoupled difference schemes for the two-component evolutionary Korteweg-de Vries system. Zbl 1450.65086
Shen, Jin-Ye; Sun, Zhi-Zhong
1
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
28
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
15
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
4
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
29
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
Optimal error estimates in numerical solution of time fractional Schrödinger equations on unbounded domains. Zbl 1468.65111
Sun, Zhi-Zhong; Zhang, Jiwei; Zhang, Zhimin
4
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
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
89
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
Some temporal second order difference schemes for fractional wave equations. Zbl 1352.65269
Sun, Hong; Sun, Zhi-Zhong; Gao, Guang-Hua
50
2016
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 high order difference schemes for the space and time fractional Bloch-Torrey equations. Zbl 1410.65329
Sun, Hong; Sun, Zhizhong; Gao, Guanghua
37
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
36
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
28
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
New approximations for solving the Caputo-type fractional partial differential equations. Zbl 1452.65176
Ren, Jincheng; Sun, Zhi-zhong; Dai, Weizhong
16
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
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
112
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
73
2015
Some high-order difference schemes for the distributed-order differential equations. Zbl 1349.65296
Gao, Guang-hua; Sun, Hai-wei; Sun, Zhi-zhong
69
2015
A high-order compact finite difference scheme for the fractional sub-diffusion equation. Zbl 1328.65176
Ji, Cui-cui; Sun, Zhi-zhong
65
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
43
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
39
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
39
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
23
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
15
2015
Two finite difference schemes for the phase field crystal equation. Zbl 1335.82030
Cao, HaiYan; Sun, ZhiZhong
8
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
6
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
268
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
195
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
144
2014
Error analysis of a compact ADI scheme for the 2D fractional subdiffusion equation. Zbl 1304.65208
Zhang, Ya-Nan; Sun, Zhi-Zhong
35
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
8
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
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
Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions. Zbl 1291.35428
Ren, Jincheng; Sun, Zhi-Zhong; Zhao, Xuan
79
2013
A linearized compact difference scheme for a class of nonlinear delay partial differential equations. Zbl 1352.65270
Sun, Zhi-Zhong; Zhang, Zai-Bin
55
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
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
29
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
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
68
2012
A three level linearized compact difference scheme for the Cahn-Hilliard equation. Zbl 1262.65106
Li, Juan; Sun, Zhizhong; Zhao, Xuan
41
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
31
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
253
2011
Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation. Zbl 1242.65174
Zhang, Ya-Nan; Sun, Zhi-Zhong
120
2011
Error estimates of Crank-Nicolson-type difference schemes for the subdiffusion equation. Zbl 1251.65132
Zhang, Yanan; Sun, Zhizhong; Wu, Hongwei
103
2011
A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions. Zbl 1227.65075
Zhao, Xuan; Sun, Zhi-Zhong
67
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
12
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.
144
2010
Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations. Zbl 1196.65154
Liao, Honglin; Sun, Zhizhong
126
2010
Error estimate of fourth-order compact scheme for linear Schrödinger equations. Zbl 1208.65130
Liao, Honglin; Sun, Zhizhong; Shi, Hansheng
76
2010
On the \(L_\infty \) convergence of a difference scheme for coupled nonlinear Schrödinger equations. Zbl 1198.65173
Sun, Zhi-Zhong; Zhao, Dan-Dan
62
2010
...and 35 more Documents
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Cited by 2,383 Authors

92 Sun, Zhizhong
60 Liu, Fawang
53 Xu, Da
50 Dehghan Takht Fooladi, Mehdi
48 Liu, Yang
46 Li, Hong
41 Sun, Haiwei
40 Wang, Hong
35 Abbaszadeh, Mostafa
35 Zhang, Chengjian
34 Vong, Seakweng
33 Zhang, Jiwei
32 Turner, Ian William
32 Wang, Tingchun
32 Wang, Zhibo
31 Huang, Chengming
30 Yang, Xuehua
29 Jiang, Xiaoyun
29 Li, Meng
29 Wang, Yushun
29 Zhang, Haixiang
28 Zhang, Qifeng
28 Zheng, Xiangcheng
27 Qiu, Wenlin
26 Gao, Guanghua
26 Li, Dongfang
26 Liao, HongLin
26 Tang, Yifa
26 Zaky, Mahmoud A.
26 Zhang, Luming
25 Li, Changpin
24 Hendy, Ahmed S.
24 Zhao, Yanmin
23 Deng, Weihua
22 Karniadakis, George Em
22 Wang, Yuanming
22 Zhang, Zhimin
21 Dai, Weizhong
21 Yan, Yubin
21 Zeng, Fanhai
20 Feng, Libo
20 Lu, Shujuan
20 Qiao, Leijie
19 Alikhanov, Anatoliĭ Alievich
19 Xiao, Aiguo
19 Yin, Baoli
18 Gu, Xian-Ming
18 Li, Xiaoli
18 Lyu, Pin
18 Wei, Ting
18 Zhao, Yongliang
17 Fu, Hongfei
17 Huang, Jianfei
17 Omrani, Khaled
16 Anh, Vo V.
16 Băleanu, Dumitru I.
16 Bu, Weiping
16 Deng, Dingwen
16 Shi, Dongyang
16 Wei, LeiLei
15 Cai, Wenjun
15 Cao, Wanrong
15 Ding, Hengfei
15 Hao, Zhaopeng
15 Lei, Siulong
15 Mohebbi, Akbar
15 Ran, Maohua
15 Zhou, Zhi
14 Chen, Hu
14 Machado, José António Tenreiro
14 Ren, Jincheng
14 Sun, Hongguang
14 Wang, Fenling
13 Bhrawy, Ali Hassan
13 Huang, Chaobao
13 Mei, Liquan
13 Rui, Hongxing
13 Wang, Jinfeng
13 Xu, Chuanju
13 Zhang, Zhiyue
12 An, Na
12 Chen, Minghua
12 Chen, Yanping
12 Du, Rui
12 Fu, Yayun
12 Liang, Dong
12 Liu, Huan
12 Qiao, Zhonghua
12 Singh, Vineet Kumar
12 Xie, Jianqiang
12 Zayernouri, Mohsen
11 Abdelkawy, Mohamed A.
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
...and 2,283 more Authors
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Cited in 208 Serials

193 Computers & Mathematics with Applications
161 Applied Numerical Mathematics
150 Journal of Scientific Computing
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120 Journal of Computational Physics
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107 Numerical Algorithms
102 Numerical Methods for Partial Differential Equations
68 Mathematics and Computers in Simulation
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64 Communications in Nonlinear Science and Numerical Simulation
56 Applied Mathematics Letters
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37 Journal of Applied Mathematics and Computing
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29 SIAM Journal on Scientific Computing
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20 Chaos, Solitons and Fractals
20 Communications on Applied Mathematics and Computation
17 Engineering Analysis with Boundary Elements
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15 Computational Methods in Applied Mathematics
14 Computer Methods in Applied Mechanics and Engineering
14 Science China. Mathematics
14 Journal of Function Spaces
13 Numerical Mathematics: Theory, Methods and Applications
12 Mathematics of Computation
12 Nonlinear Dynamics
12 Networks and Heterogeneous Media
12 AIMS Mathematics
11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
10 Calcolo
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9 BIT
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9 Acta Mathematicae Applicatae Sinica. English Series
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4 ETNA. Electronic Transactions on Numerical Analysis
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4 Mediterranean Journal of Mathematics
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3 Complexity
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3 Discrete Dynamics in Nature and Society
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Journal of Physics A: Mathematical and Theoretical
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2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
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