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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, Zhi Zhong
Documents Indexed: 161 Publications since 1989, including 2 Books
Co-Authors: 67 Co-Authors with 129 Joint Publications
2,162 Co-Co-Authors
all top 5

Serials

26 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 Computers & Mathematics with Applications
4 SIAM Journal on Numerical Analysis
4 Journal of Nanjing University. Mathematical Biquarterly
4 Applied Mathematical Modelling
3 Journal of Computational Mathematics
3 Applied Mathematics Letters
3 Numerical Algorithms
3 Computational Methods in Applied Mathematics
3 Numerical Mathematics: Theory, Methods and Applications
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
1 International Journal of Heat and Mass Transfer
1 Physics Letters. A
1 Problems of Information Transmission
1 Operations Research Letters
1 Applied Mathematics and Mechanics. (English Edition)
1 European Journal of Mechanics. A. Solids
1 Science in China. Series A
1 Annals of Operations Research
1 SIAM Journal on Scientific Computing
1 Journal on Numerical Methods and Computer Applications
1 Chinese Journal of Numerical Mathematics and Applications
1 Combustion Theory and Modelling
1 Central European Journal of Mathematics
1 Advances in Applied Mathematics and Mechanics
1 Scientia Sinica. Mathematica
1 Springer Finance
1 Communications on Applied Mathematics and Computation

Publications by Year

Citations contained in zbMATH Open

123 Publications have been cited 3,525 times in 1,796 Documents Cited by Year
A fully discrete difference scheme for a diffusion-wave system. Zbl 1094.65083
Sun, Zhi-Zhong; Wu, Xiaonan
532
2006
A compact finite difference scheme for the fractional sub-diffusion equations. Zbl 1211.65112
Gao, Guanghua; Sun, Zhizhong
210
2011
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
194
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
130
2014
A compact difference scheme for the fractional diffusion-wave equation. Zbl 1201.65154
Du, R.; Cao, W. R.; Sun, Z. Z.
120
2010
Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations. Zbl 1196.65154
Liao, Honglin; Sun, Zhizhong
102
2010
Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation. Zbl 1242.65174
Zhang, Ya-Nan; Sun, Zhi-Zhong
102
2011
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
101
2014
Compact alternating direction implicit scheme for the two-dimensional fractional diffusion-wave equation. Zbl 1251.65126
Zhang, Ya-Nan; Sun, Zhi-Zhong; Zhao, Xuan
97
2012
A fourth-order approximation of fractional derivatives with its applications. Zbl 1352.65238
Hao, Zhao-peng; Sun, Zhi-zhong; Cao, Wan-rong
92
2015
Second-order approximations for variable order fractional derivatives: algorithms and applications. Zbl 1349.65092
Zhao, Xuan; Sun, Zhi-zhong; Karniadakis, George Em
85
2015
Error estimates of Crank-Nicolson-type difference schemes for the subdiffusion equation. Zbl 1251.65132
Zhang, Yanan; Sun, Zhizhong; Wu, Hongwei
84
2011
Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions. Zbl 1291.35428
Ren, Jincheng; Sun, Zhi-Zhong; Zhao, Xuan
69
2013
A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions. Zbl 1227.65075
Zhao, Xuan; Sun, Zhi-Zhong
64
2011
Error estimate of fourth-order compact scheme for linear Schrödinger equations. Zbl 1208.65130
Liao, Honglin; Sun, Zhizhong; Shi, Hansheng
60
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
60
2015
A second-order accurate linearized difference scheme for the two-dimensional Cahn-Hilliard equation. Zbl 0847.65056
Sun, Zhizhong
59
1995
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
58
2012
Some high-order difference schemes for the distributed-order differential equations. Zbl 1349.65296
Gao, Guang-hua; Sun, Hai-wei; Sun, Zhi-zhong
51
2015
Compact difference schemes for heat equation with Neumann boundary conditions. Zbl 1181.65115
Sun, Zhi-Zhong
50
2009
A high-order compact finite difference scheme for the fractional sub-diffusion equation. Zbl 1328.65176
Ji, Cui-cui; Sun, Zhi-zhong
50
2015
On the \(L_\infty \) convergence of a difference scheme for coupled nonlinear Schrödinger equations. Zbl 1198.65173
Sun, Zhi-Zhong; Zhao, Dan-Dan
46
2010
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
45
2017
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
40
2013
Compact Crank-Nicolson schemes for a class of fractional Cattaneo equation in inhomogeneous medium. Zbl 1319.65084
Zhao, Xuan; Sun, Zhi-Zhong
39
2015
Some temporal second order difference schemes for fractional wave equations. Zbl 1352.65269
Sun, Hong; Sun, Zhi-Zhong; Gao, Guang-Hua
36
2016
Two alternating direction implicit difference schemes for two-dimensional distributed-order fractional diffusion equations. Zbl 1373.65055
Gao, Guang-hua; Sun, Zhi-zhong
36
2016
A linearized compact difference scheme for a class of nonlinear delay partial differential equations. Zbl 1352.65270
Sun, Zhi-Zhong; Zhang, Zai-Bin
33
2013
On Tsertvadze’s difference scheme for the Kuramoto-Tsuzuki equation. Zbl 0933.65104
Sun, Zhizhong; Zhu, Qiding
32
1998
A three level linearized compact difference scheme for the Cahn-Hilliard equation. Zbl 1262.65106
Li, Juan; Sun, Zhizhong; Zhao, Xuan
31
2012
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
29
2015
Efficient numerical solution of the multi-term time fractional diffusion-wave equation. Zbl 1322.65088
Ren, Jincheng; Sun, Zhi-Zhong
29
2015
Error analysis of a compact ADI scheme for the 2D fractional subdiffusion equation. Zbl 1304.65208
Zhang, Ya-Nan; Sun, Zhi-Zhong
29
2014
Convergence of difference scheme for heat equation in unbounded domains using artificial boundary conditions. Zbl 1053.65074
Wu, Xiaonan; Sun, Zhizhong
27
2004
A finite difference scheme for semilinear space-fractional diffusion equations with time delay. Zbl 1410.65310
Hao, Zhaopeng; Fan, Kai; Cao, Wanrong; Sun, Zhizhong
26
2016
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
25
2013
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
24
2012
Some high order difference schemes for the space and time fractional Bloch-Torrey equations. Zbl 1410.65329
Sun, Hong; Sun, Zhizhong; Gao, Guanghua
23
2016
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
23
2006
Efficient and stable numerical methods for multi-term time fractional sub-diffusion equations. Zbl 1320.65120
Ren, Jincheng; Sun, Zhi-Zhong
21
2014
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
21
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
19
2017
Finite difference methods for a nonlinear and strongly coupled heat and moisture transport system in textile materials. Zbl 1332.76034
Sun, Weiwei; Sun, Zhizhong
19
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
19
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
18
2019
A linearized high-order difference scheme for the fractional Ginzburg-Landau equation. Zbl 1359.65150
Hao, Zhao-Peng; Sun, Zhi-Zhong
17
2017
Maximum norm error estimates of efficient difference schemes for second-order wave equations. Zbl 1227.65082
Liao, Honglin; Sun, Zhizhong
17
2011
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
17
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
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
16
2016
Compact difference schemes for heat equation with Neumann boundary conditions. II. Zbl 1422.65152
Gao, Guang-Hua; Sun, Zhi-Zhong
16
2013
Convergence of compact ADI method for solving linear Schrödinger equations. Zbl 1259.65135
Liao, Honglin; Sun, Zhizhong; Shi, Hansheng; Wang, Tingchun
14
2012
A three-level linearized compact difference scheme for the Ginzburg-Landau equation. Zbl 1320.65116
Hao, Zhao-Peng; Sun, Zhi-Zhong; Cao, Wan-Rong
13
2015
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
13
2016
A note on finite difference method for generalized Zakharov equations. Zbl 1007.65052
Sun, Zhizhong
13
2000
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
12
2001
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
12
2016
A two-level compact ADI method for solving second-order wave equations. Zbl 1279.65099
Liao, Hong-Lin; Sun, Zhi-Zhong
11
2013
A linearized difference scheme for the Kuramoto-Tsuzuki equation. Zbl 0844.65068
Sun, Z. Z.
10
1996
A finite difference scheme for solving the Timoshenko beam equations with boundary feedback. Zbl 1107.74049
Li, Fule; Sun, Zhizhong
10
2007
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 sufficient condition for the existence of restricted fractional \((g, f)\)-factors in graphs. Zbl 1459.05275
Zhou, S.; Sun, Z.; Pan, Q.
10
2020
Two difference schemes for solving the one-dimensional time distributed-order fractional wave equations. Zbl 1372.65229
Gao, Guang-hua; Sun, Zhi-zhong
9
2017
A high-order difference scheme for a nonlocal boundary-value problem for the heat equation. Zbl 0996.65095
Sun, Zhi-Zhong
9
2001
Corrected explicit-implicit domain decomposition algorithms for two-dimensional semilinear parabolic equations. Zbl 1183.65120
Liao, HongLin; Shi, HanSheng; Sun, ZhiZhong
8
2009
On two linearized difference schemes for Burgers’ equation. Zbl 1398.65219
Sun, Hong; Sun, Zhi-zhong
8
2015
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
8
2017
Analysis of high-order absorbing boundary conditions for the Schrödinger equation. Zbl 1388.65070
Zhang, Jiwei; Sun, Zhizhong; Wu, Xiaonan; Wang, Desheng
8
2011
The high-order compact numerical algorithms for the two-dimensional fractional sub-diffusion equation. Zbl 1410.65315
Ji, Cui-cui; Sun, Zhi-zhong
8
2015
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
8
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
8
2019
A second order accurate difference scheme for the heat equation with concentrated capacity. Zbl 1060.65097
Sun, Zhizhong; Zhu, You-lan
7
2004
A generalized box scheme for the numerical solution of the Kuramoto-Tsuzuki equation. Zbl 0990.65503
Sun, Zhizhong
7
1996
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
6
2019
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
6
2017
On \(L_\infty\) convergence of a linearized difference scheme for the Kuramoto-Tsuzuki equation. Zbl 0911.65076
Sun, Zhizhong
6
1997
A linearized compact difference scheme for an one-dimensional parabolic inverse problem. Zbl 1168.65378
Ye, Chao-Rong; Sun, Zhi-Zhong
6
2009
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
Two finite difference schemes for the phase field crystal equation. Zbl 1335.82030
Cao, HaiYan; Sun, ZhiZhong
6
2015
New approximations for solving the Caputo-type fractional partial differential equations. Zbl 1452.65176
Ren, Jincheng; Sun, Zhi-zhong; Dai, Weizhong
6
2016
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
5
2018
A difference scheme for Burgers equation in an unbounded domain. Zbl 1214.65047
Sun, Zhi-Zhong; Wu, Xiao-Nan
5
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
5
2015
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
5
2014
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
5
2015
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
4
2018
A Crank-Nicolson scheme for a class of delay nonlinear parabolic differential equations. Zbl 1240.65266
Zhang, Zaibin; Sun, Zhizhong
4
2010
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
4
2006
A three-level linearized finite difference scheme for the Camassa-Holm equation. Zbl 1290.65071
Cao, Hai-Yan; Sun, Zhi-Zhong; Gao, Guang-Hua
4
2014
Numerical simulation of turbulent jet flow and combustion. Zbl 0969.76602
Zhou, X.; Sun, Z.; Durst, F.; Brenner, G.
3
1999
A new class of difference schemes for linear parabolic equations in 1-D. Zbl 0900.65261
Sun, Zhizhong
3
1994
Finite difference method for reaction-diffusion equation with nonlocal boundary conditions. Zbl 1174.65460
Liu, Jianming; Sun, Zhizhong
3
2007
Maximum norm error analysis of difference schemes for fractional diffusion equations. Zbl 1339.65136
Ren, Jincheng; Sun, Zhi-zhong
3
2015
A high-order difference scheme for the fractional sub-diffusion equation. Zbl 1364.65164
Hao, Zhao-Peng; Lin, Guang; Sun, Zhi-Zhong
3
2017
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
3
2012
A new analytical technique of the \(L\)-type difference schemes for time fractional mixed sub-diffusion and diffusion-wave equations. Zbl 07206944
Sun, Zhi-zhong; Ji, Cui-cui; Du, Ruilian
3
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
2
2021
A second-order linearized difference scheme on nonuniform meshes for nonlinear parabolic systems with Dirichlet boundary value conditions. Zbl 1033.65076
Zhang, Ling-Yun; Sun, Zhi-Zhong
2
2003
Derivative securities and difference methods. 2nd ed. Zbl 1337.91006
Zhu, You-lan; Wu, Xiaonan; Chern, I-Liang; Sun, Zhi-zhong
2
2013
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
2
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
2
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
2
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
1
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
1
2021
Temporal second-order difference methods for solving multi-term time fractional mixed diffusion and wave equations. Zbl 07384500
Du, Rui-lian; Sun, Zhi-zhong
1
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
1
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
19
2020
A sufficient condition for the existence of restricted fractional \((g, f)\)-factors in graphs. Zbl 1459.05275
Zhou, S.; Sun, Z.; Pan, Q.
10
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
8
2020
A new analytical technique of the \(L\)-type difference schemes for time fractional mixed sub-diffusion and diffusion-wave equations. Zbl 07206944
Sun, Zhi-zhong; Ji, Cui-cui; Du, Ruilian
3
2020
Fractional differential equations. Finite difference methods. Zbl 1440.65003
Sun, Zhi-zhong; Gao, Guang-hua
2
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
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
18
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
8
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
6
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
2
2019
A compact difference scheme for multi-point boundary value problems of heat equations. Zbl 1449.65203
Wang, Xuping; Sun, Zhizhong
1
2019
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
5
2018
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
4
2018
A high-order difference scheme for the space and time fractional Bloch-Torrey equation. Zbl 1382.65262
Zhu, Yun; Sun, Zhi-Zhong
1
2018
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
45
2017
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
19
2017
A linearized high-order difference scheme for the fractional Ginzburg-Landau equation. Zbl 1359.65150
Hao, Zhao-Peng; Sun, Zhi-Zhong
17
2017
Two difference schemes for solving the one-dimensional time distributed-order fractional wave equations. Zbl 1372.65229
Gao, Guang-hua; Sun, Zhi-zhong
9
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
8
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
6
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
36
2016
Two alternating direction implicit difference schemes for two-dimensional distributed-order fractional diffusion equations. Zbl 1373.65055
Gao, Guang-hua; Sun, Zhi-zhong
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
26
2016
Some high order difference schemes for the space and time fractional Bloch-Torrey equations. Zbl 1410.65329
Sun, Hong; Sun, Zhizhong; Gao, Guanghua
23
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
17
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
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
13
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
12
2016
New approximations for solving the Caputo-type fractional partial differential equations. Zbl 1452.65176
Ren, Jincheng; Sun, Zhi-zhong; Dai, Weizhong
6
2016
A fourth-order approximation of fractional derivatives with its applications. Zbl 1352.65238
Hao, Zhao-peng; Sun, Zhi-zhong; Cao, Wan-rong
92
2015
Second-order approximations for variable order fractional derivatives: algorithms and applications. Zbl 1349.65092
Zhao, Xuan; Sun, Zhi-zhong; Karniadakis, George Em
85
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
60
2015
Some high-order difference schemes for the distributed-order differential equations. Zbl 1349.65296
Gao, Guang-hua; Sun, Hai-wei; Sun, Zhi-zhong
51
2015
A high-order compact finite difference scheme for the fractional sub-diffusion equation. Zbl 1328.65176
Ji, Cui-cui; Sun, Zhi-zhong
50
2015
Compact Crank-Nicolson schemes for a class of fractional Cattaneo equation in inhomogeneous medium. Zbl 1319.65084
Zhao, Xuan; 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
29
2015
Efficient numerical solution of the multi-term time fractional diffusion-wave equation. Zbl 1322.65088
Ren, Jincheng; Sun, Zhi-Zhong
29
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
13
2015
On two linearized difference schemes for Burgers’ equation. Zbl 1398.65219
Sun, Hong; Sun, Zhi-zhong
8
2015
The high-order compact numerical algorithms for the two-dimensional fractional sub-diffusion equation. Zbl 1410.65315
Ji, Cui-cui; Sun, Zhi-zhong
8
2015
Two finite difference schemes for the phase field crystal equation. Zbl 1335.82030
Cao, HaiYan; Sun, ZhiZhong
6
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
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
5
2015
Maximum norm error analysis of difference schemes for fractional diffusion equations. Zbl 1339.65136
Ren, Jincheng; Sun, Zhi-zhong
3
2015
A high accurate and conservative difference scheme for the solutions of nonlinear Schrödinger equations. Zbl 1340.65166
Cui, Jin; Sun, Zhizhong; Wu, Hongwei
2
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
194
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
130
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
101
2014
Error analysis of a compact ADI scheme for the 2D fractional subdiffusion equation. Zbl 1304.65208
Zhang, Ya-Nan; Sun, Zhi-Zhong
29
2014
Efficient and stable numerical methods for multi-term time fractional sub-diffusion equations. Zbl 1320.65120
Ren, Jincheng; Sun, Zhi-Zhong
21
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
5
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
4
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
69
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
40
2013
A linearized compact difference scheme for a class of nonlinear delay partial differential equations. Zbl 1352.65270
Sun, Zhi-Zhong; Zhang, Zai-Bin
33
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
25
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
21
2013
Compact difference schemes for heat equation with Neumann boundary conditions. II. Zbl 1422.65152
Gao, Guang-Hua; Sun, Zhi-Zhong
16
2013
A two-level compact ADI method for solving second-order wave equations. Zbl 1279.65099
Liao, Hong-Lin; Sun, Zhi-Zhong
11
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
97
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
58
2012
A three level linearized compact difference scheme for the Cahn-Hilliard equation. Zbl 1262.65106
Li, Juan; Sun, Zhizhong; Zhao, Xuan
31
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
24
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
19
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
3
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
210
2011
Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation. Zbl 1242.65174
Zhang, Ya-Nan; Sun, Zhi-Zhong
102
2011
Error estimates of Crank-Nicolson-type difference schemes for the subdiffusion equation. Zbl 1251.65132
Zhang, Yanan; Sun, Zhizhong; Wu, Hongwei
84
2011
A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions. Zbl 1227.65075
Zhao, Xuan; Sun, Zhi-Zhong
64
2011
Maximum norm error estimates of efficient difference schemes for second-order wave equations. Zbl 1227.65082
Liao, Honglin; Sun, Zhizhong
17
2011
Analysis of high-order absorbing boundary conditions for the Schrödinger equation. Zbl 1388.65070
Zhang, Jiwei; Sun, Zhizhong; Wu, Xiaonan; Wang, Desheng
8
2011
A compact difference scheme for the fractional diffusion-wave equation. Zbl 1201.65154
Du, R.; Cao, W. R.; Sun, Z. Z.
120
2010
Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations. Zbl 1196.65154
Liao, Honglin; Sun, Zhizhong
102
2010
Error estimate of fourth-order compact scheme for linear Schrödinger equations. Zbl 1208.65130
Liao, Honglin; Sun, Zhizhong; Shi, Hansheng
60
2010
On the \(L_\infty \) convergence of a difference scheme for coupled nonlinear Schrödinger equations. Zbl 1198.65173
Sun, Zhi-Zhong; Zhao, Dan-Dan
46
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
A Crank-Nicolson scheme for a class of delay nonlinear parabolic differential equations. Zbl 1240.65266
Zhang, Zaibin; Sun, Zhizhong
4
2010
Maximum norm error analysis of explicit schemes for two-dimensional nonlinear Schrödinger equations. Zbl 1488.65255
Liao, Honglin; Sun, Zhizhong; Shi, Hansheng
1
2010
Compact difference schemes for heat equation with Neumann boundary conditions. Zbl 1181.65115
Sun, Zhi-Zhong
50
2009
Corrected explicit-implicit domain decomposition algorithms for two-dimensional semilinear parabolic equations. Zbl 1183.65120
Liao, HongLin; Shi, HanSheng; Sun, ZhiZhong
8
2009
A linearized compact difference scheme for an one-dimensional parabolic inverse problem. Zbl 1168.65378
Ye, Chao-Rong; Sun, Zhi-Zhong
6
2009
A difference scheme for Burgers equation in an unbounded domain. Zbl 1214.65047
Sun, Zhi-Zhong; Wu, Xiao-Nan
5
2009
A second-order accurate difference scheme for the two-dimensional Burgers’ system. Zbl 1153.76048
Xu, Peipei; Sun, Zhizhong
1
2009
A second-order linearized difference scheme for a strongly coupled reaction-diffusion system. Zbl 1185.65142
Cao, Hai-Yan; Sun, Zhi-Zhong
1
2008
Convergence of a difference scheme for the heat equation in a long strip by artificial boundary conditions. Zbl 1133.65070
Han, Houde; Sun, Zhi-Zhong; Wu, Xiao-Nan
1
2008
A finite difference scheme for solving the Timoshenko beam equations with boundary feedback. Zbl 1107.74049
Li, Fule; Sun, Zhizhong
10
2007
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
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Cited by 1,774 Authors

79 Sun, Zhizhong
47 Dehghan Takht Fooladi, Mehdi
43 Liu, Fawang
38 Xu, Da
33 Abbaszadeh, Mostafa
32 Sun, Haiwei
30 Liu, Yang
30 Wang, Hong
29 Li, Hong
29 Wang, Tingchun
27 Zhang, Chengjian
27 Zhang, Jiwei
26 Vong, Seakweng
24 Huang, Chengming
24 Turner, Ian William
24 Wang, Zhibo
24 Zhang, Luming
23 Liao, HongLin
23 Wang, Yushun
22 Gao, Guanghua
21 Li, Dongfang
21 Tang, Yifa
21 Wang, Yuanming
20 Jiang, Xiaoyun
20 Zheng, Xiangcheng
18 Deng, Weihua
18 Yang, Xuehua
17 Li, Meng
17 Li, Xiaoli
17 Zhang, Haixiang
17 Zhang, Qifeng
16 Karniadakis, George Em
16 Li, Changpin
16 Lu, Shujuan
16 Yan, Yubin
16 Zaky, Mahmoud A.
16 Zeng, Fanhai
15 Bu, Weiping
15 Dai, Weizhong
15 Xiao, Aiguo
15 Zhao, Yongliang
15 Zhou, Zhi
14 Feng, Libo
14 Gu, Xian-Ming
14 Hao, Zhaopeng
14 Hendy, Ahmed S.
14 Lyu, Pin
14 Mohebbi, Akbar
13 Machado, José António Tenreiro
13 Qiu, Wenlin
13 Yin, Baoli
13 Zhang, Zhimin
13 Zhao, Yanmin
12 Anh, Vo V.
12 Chen, Minghua
12 Deng, Dingwen
12 Fu, Hongfei
12 Omrani, Khaled
12 Ren, Jincheng
12 Rui, Hongxing
12 Sun, Hongguang
12 Wei, LeiLei
12 Xu, Chuanju
11 Alikhanov, Anatoly A.
11 Băleanu, Dumitru I.
11 Bhrawy, Ali Hassan
11 Cai, Wenjun
11 Cheng, Aijie
11 Du, Rui
11 Huang, Jianfei
11 Jin, Bangti
11 Lei, Siulong
11 Li, Buyang
11 Liang, Dong
11 Qiao, Zhonghua
11 Zhai, Shuying
11 Zhang, Zhiyue
10 Cao, Wanrong
10 Chen, Hu
10 Hu, Xiuling
10 Liu, Huan
10 Liu, Zhengguang
10 Mei, Liquan
10 Ng, Michael Kwok-Po
10 Qiao, Leijie
10 Ran, Maohua
10 Wang, Dongling
10 Wang, Jilu
10 Wang, Pengde
10 Wu, Xiaonan
10 Zayernouri, Mohsen
10 Zheng, Chunxiong
9 Abdelkawy, Mohamed A.
9 Cui, Mingrong
9 Ding, Hengfei
9 Guo, Boling
9 Huang, Ting-Zhu
9 Lin, Xuelei
9 Ren, Lei
9 Shi, Dongyang
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Cited in 177 Serials

140 Applied Numerical Mathematics
129 Computers & Mathematics with Applications
128 Applied Mathematics and Computation
126 Journal of Scientific Computing
110 Journal of Computational Physics
92 Journal of Computational and Applied Mathematics
82 Numerical Algorithms
72 International Journal of Computer Mathematics
51 Computational and Applied Mathematics
51 Advances in Difference Equations
47 Applied Mathematics Letters
40 Numerical Methods for Partial Differential Equations
34 Mathematics and Computers in Simulation
32 Communications in Nonlinear Science and Numerical Simulation
29 Applied Mathematical Modelling
26 SIAM Journal on Scientific Computing
26 Fractional Calculus & Applied Analysis
24 SIAM Journal on Numerical Analysis
23 Advances in Applied Mathematics and Mechanics
21 East Asian Journal on Applied Mathematics
18 Journal of Applied Mathematics and Computing
17 Advances in Computational Mathematics
16 Engineering Analysis with Boundary Elements
15 Communications on Applied Mathematics and Computation
12 Computer Methods in Applied Mechanics and Engineering
12 Mathematics of Computation
12 Chaos, Solitons and Fractals
12 Communications in Computational Physics
12 Journal of Function Spaces
11 Applicable Analysis
11 Computational Methods in Applied Mathematics
11 Science China. Mathematics
11 AIMS Mathematics
10 Nonlinear Dynamics
10 Journal of Applied Analysis and Computation
9 Numerische Mathematik
9 Acta Mathematicae Applicatae Sinica. English Series
9 Mathematical Problems in Engineering
8 International Journal of Applied and Computational Mathematics
7 Abstract and Applied Analysis
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 Numerical Mathematics: Theory, Methods and Applications
6 Journal of Mathematical Analysis and Applications
6 Physica A
6 BIT
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6 Inverse Problems in Science and Engineering
5 Mathematical Methods in the Applied Sciences
5 Calcolo
5 Numerical Functional Analysis and Optimization
5 Taiwanese Journal of Mathematics
5 Lobachevskii Journal of Mathematics
5 Discrete and Continuous Dynamical Systems. Series B
5 Boundary Value Problems
5 Advances in Mathematical Physics
4 Computer Physics Communications
4 Journal of Difference Equations and Applications
4 Chaos
4 Mathematical Modelling and Analysis
4 International Journal of Computational Methods
4 Computational Methods for Differential Equations
3 International Journal of Numerical Methods for Heat & Fluid Flow
3 ETNA. Electronic Transactions on Numerical Analysis
3 Journal of Vibration and Control
3 Discrete Dynamics in Nature and Society
3 International Journal of Nonlinear Sciences and Numerical Simulation
3 Differential Equations
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Mediterranean Journal of Mathematics
3 International Journal of Numerical Analysis and Modeling
3 Discrete and Continuous Dynamical Systems. Series S
3 Open Mathematics
2 Computers and Fluids
2 Inverse Problems
2 Journal of Mathematical Physics
2 Lithuanian Mathematical Journal
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Demonstratio Mathematica
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 SIAM Journal on Control and Optimization
2 Acta Applicandae Mathematicae
2 Computational Mechanics
2 Japan Journal of Industrial and Applied Mathematics
2 Journal of Mathematical Sciences (New York)
2 Filomat
2 Journal of Inverse and Ill-Posed Problems
2 Complexity
2 Differential Equations and Dynamical Systems
2 Journal of Applied Mathematics
2 Multiscale Modeling & Simulation
2 Structural and Multidisciplinary Optimization
2 Journal of Statistical Mechanics: Theory and Experiment
2 Waves in Random and Complex Media
2 Journal of Nonlinear Science and Applications
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Journal of Mathematics
2 AMM. Applied Mathematics and Mechanics. (English Edition)
2 Journal of Computational and Theoretical Transport
1 Acta Mechanica
1 International Journal of Control
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Cited in 38 Fields

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22 Biology and other natural sciences (92-XX)
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17 Systems theory; control (93-XX)
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14 Difference and functional equations (39-XX)
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