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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: 163 Publications since 1989, including 2 Books
Co-Authors: 68 Co-Authors with 131 Joint Publications
2,265 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 Numerical Algorithms
4 Applied Mathematical Modelling
3 Journal of Computational Mathematics
3 Applied Mathematics Letters
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
2 Communications on Applied Mathematics and Computation
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

Publications by Year

Citations contained in zbMATH Open

124 Publications have been cited 3,525 times in 1,862 Documents Cited by Year
A fully discrete difference scheme for a diffusion-wave system. Zbl 1094.65083
Sun, Zhi-Zhong; Wu, Xiaonan
550
2006
A compact finite difference scheme for the fractional sub-diffusion equations. Zbl 1211.65112
Gao, Guanghua; Sun, Zhizhong
220
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
201
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
131
2014
A compact difference scheme for the fractional diffusion-wave equation. Zbl 1201.65154
Du, R.; Cao, W. R.; Sun, Z. Z.
127
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
107
2014
Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations. Zbl 1196.65154
Liao, Honglin; Sun, Zhizhong
105
2010
Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation. Zbl 1242.65174
Zhang, Ya-Nan; Sun, Zhi-Zhong
105
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
104
2012
A fourth-order approximation of fractional derivatives with its applications. Zbl 1352.65238
Hao, Zhao-peng; Sun, Zhi-zhong; Cao, Wan-rong
97
2015
Error estimates of Crank-Nicolson-type difference schemes for the subdiffusion equation. Zbl 1251.65132
Zhang, Yanan; Sun, Zhizhong; Wu, Hongwei
91
2011
Second-order approximations for variable order fractional derivatives: algorithms and applications. Zbl 1349.65092
Zhao, Xuan; Sun, Zhi-zhong; Karniadakis, George Em
88
2015
Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions. Zbl 1291.35428
Ren, Jincheng; Sun, Zhi-Zhong; Zhao, Xuan
70
2013
A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions. Zbl 1227.65075
Zhao, Xuan; Sun, Zhi-Zhong
65
2011
Error estimate of fourth-order compact scheme for linear Schrödinger equations. Zbl 1208.65130
Liao, Honglin; Sun, Zhizhong; Shi, Hansheng
62
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
62
2015
A second-order accurate linearized difference scheme for the two-dimensional Cahn-Hilliard equation. Zbl 0847.65056
Sun, Zhizhong
60
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
59
2012
A high-order compact finite difference scheme for the fractional sub-diffusion equation. Zbl 1328.65176
Ji, Cui-cui; Sun, Zhi-zhong
54
2015
Some high-order difference schemes for the distributed-order differential equations. Zbl 1349.65296
Gao, Guang-hua; Sun, Hai-wei; Sun, Zhi-zhong
53
2015
Compact difference schemes for heat equation with Neumann boundary conditions. Zbl 1181.65115
Sun, Zhi-Zhong
51
2009
On the \(L_\infty \) convergence of a difference scheme for coupled nonlinear Schrödinger equations. Zbl 1198.65173
Sun, Zhi-Zhong; Zhao, Dan-Dan
48
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
47
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
42
2013
Compact Crank-Nicolson schemes for a class of fractional Cattaneo equation in inhomogeneous medium. Zbl 1319.65084
Zhao, Xuan; Sun, Zhi-Zhong
41
2015
Two alternating direction implicit difference schemes for two-dimensional distributed-order fractional diffusion equations. Zbl 1373.65055
Gao, Guang-hua; Sun, Zhi-zhong
39
2016
Some temporal second order difference schemes for fractional wave equations. Zbl 1352.65269
Sun, Hong; Sun, Zhi-Zhong; Gao, Guang-Hua
39
2016
A linearized compact difference scheme for a class of nonlinear delay partial differential equations. Zbl 1352.65270
Sun, Zhi-Zhong; Zhang, Zai-Bin
36
2013
On Tsertvadze’s difference scheme for the Kuramoto-Tsuzuki equation. Zbl 0933.65104
Sun, Zhizhong; Zhu, Qiding
33
1998
A three level linearized compact difference scheme for the Cahn-Hilliard equation. Zbl 1262.65106
Li, Juan; Sun, Zhizhong; Zhao, Xuan
33
2012
Efficient numerical solution of the multi-term time fractional diffusion-wave equation. Zbl 1322.65088
Ren, Jincheng; Sun, Zhi-Zhong
32
2015
Error analysis of a compact ADI scheme for the 2D fractional subdiffusion equation. Zbl 1304.65208
Zhang, Ya-Nan; Sun, Zhi-Zhong
31
2014
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
30
2015
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
26
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
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
23
2020
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
22
2017
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
22
2013
Efficient and stable numerical methods for multi-term time fractional sub-diffusion equations. Zbl 1320.65120
Ren, Jincheng; Sun, Zhi-Zhong
21
2014
Finite difference methods for a nonlinear and strongly coupled heat and moisture transport system in textile materials. Zbl 1332.76034
Sun, Weiwei; Sun, Zhizhong
20
2012
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
19
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
18
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
18
2016
A linearized high-order difference scheme for the fractional Ginzburg-Landau equation. Zbl 1359.65150
Hao, Zhao-Peng; Sun, Zhi-Zhong
17
2017
Compact difference schemes for heat equation with Neumann boundary conditions. II. Zbl 1422.65152
Gao, Guang-Hua; Sun, Zhi-Zhong
17
2013
Maximum norm error estimates of efficient difference schemes for second-order wave equations. Zbl 1227.65082
Liao, Honglin; Sun, Zhizhong
17
2011
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
Convergence of compact ADI method for solving linear Schrödinger equations. Zbl 1259.65135
Liao, Honglin; Sun, Zhizhong; Shi, Hansheng; Wang, Tingchun
14
2012
A note on finite difference method for generalized Zakharov equations. Zbl 1007.65052
Sun, Zhizhong
14
2000
A three-level linearized compact difference scheme for the Ginzburg-Landau equation. Zbl 1320.65116
Hao, Zhao-Peng; Sun, Zhi-Zhong; Cao, Wan-Rong
14
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
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
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
A sufficient condition for the existence of restricted fractional \((g, f)\)-factors in graphs. Zbl 1459.05275
Zhou, S.; Sun, Z.; Pan, Q.
11
2020
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
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 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
The high-order compact numerical algorithms for the two-dimensional fractional sub-diffusion equation. Zbl 1410.65315
Ji, Cui-cui; Sun, Zhi-zhong
9
2015
On two linearized difference schemes for Burgers’ equation. Zbl 1398.65219
Sun, Hong; Sun, Zhi-zhong
9
2015
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
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
9
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
Corrected explicit-implicit domain decomposition algorithms for two-dimensional semilinear parabolic equations. Zbl 1183.65120
Liao, HongLin; Shi, HanSheng; Sun, ZhiZhong
8
2009
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
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
New approximations for solving the Caputo-type fractional partial differential equations. Zbl 1452.65176
Ren, Jincheng; Sun, Zhi-zhong; Dai, Weizhong
6
2016
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
On \(L_\infty\) convergence of a linearized difference scheme for the Kuramoto-Tsuzuki equation. Zbl 0911.65076
Sun, Zhizhong
6
1997
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
6
2014
Two finite difference schemes for the phase field crystal equation. Zbl 1335.82030
Cao, HaiYan; Sun, ZhiZhong
6
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
6
2018
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
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
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 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
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
5
2021
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
5
2020
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
A difference scheme for Burgers equation in an unbounded domain. Zbl 1214.65047
Sun, Zhi-Zhong; Wu, Xiao-Nan
5
2009
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
A new class of difference schemes for linear parabolic equations in 1-D. Zbl 0900.65261
Sun, Zhizhong
3
1994
A high-order difference scheme for the fractional sub-diffusion equation. Zbl 1364.65164
Hao, Zhao-Peng; Lin, Guang; Sun, Zhi-Zhong
3
2017
Maximum norm error analysis of difference schemes for fractional diffusion equations. Zbl 1339.65136
Ren, Jincheng; Sun, Zhi-zhong
3
2015
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
3
2021
Fractional differential equations. Finite difference methods. Zbl 1440.65003
Sun, Zhi-zhong; Gao, Guang-hua
3
2020
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
3
2021
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
Finite difference method for reaction-diffusion equation with nonlocal boundary conditions. Zbl 1174.65460
Liu, Jianming; Sun, Zhizhong
3
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
5
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
3
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
3
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 scheme for time fractional mixed diffusion-wave equations. Zbl 1482.65141
Du, Rui-Lian; Sun, Zhi-Zhong
1
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
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
23
2020
A sufficient condition for the existence of restricted fractional \((g, f)\)-factors in graphs. Zbl 1459.05275
Zhou, S.; Sun, Z.; Pan, Q.
11
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
9
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
5
2020
Fractional differential equations. Finite difference methods. Zbl 1440.65003
Sun, Zhi-zhong; Gao, Guang-hua
3
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
19
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
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
6
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
5
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
1
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
47
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
22
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
Two alternating direction implicit difference schemes for two-dimensional distributed-order fractional diffusion equations. Zbl 1373.65055
Gao, Guang-hua; Sun, Zhi-zhong
39
2016
Some temporal second order difference schemes for fractional wave equations. Zbl 1352.65269
Sun, Hong; Sun, Zhi-Zhong; Gao, Guang-Hua
39
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
18
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
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
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
97
2015
Second-order approximations for variable order fractional derivatives: algorithms and applications. Zbl 1349.65092
Zhao, Xuan; Sun, Zhi-zhong; Karniadakis, George Em
88
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
62
2015
A high-order compact finite difference scheme for the fractional sub-diffusion equation. Zbl 1328.65176
Ji, Cui-cui; Sun, Zhi-zhong
54
2015
Some high-order difference schemes for the distributed-order differential equations. Zbl 1349.65296
Gao, Guang-hua; Sun, Hai-wei; Sun, Zhi-zhong
53
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
32
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
30
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
14
2015
The high-order compact numerical algorithms for the two-dimensional fractional sub-diffusion equation. Zbl 1410.65315
Ji, Cui-cui; Sun, Zhi-zhong
9
2015
On two linearized difference schemes for Burgers’ equation. Zbl 1398.65219
Sun, Hong; Sun, Zhi-zhong
9
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
201
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
131
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
107
2014
Error analysis of a compact ADI scheme for the 2D fractional subdiffusion equation. Zbl 1304.65208
Zhang, Ya-Nan; Sun, Zhi-Zhong
31
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
6
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
70
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
42
2013
A linearized compact difference scheme for a class of nonlinear delay partial differential equations. Zbl 1352.65270
Sun, Zhi-Zhong; Zhang, Zai-Bin
36
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
26
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
22
2013
Compact difference schemes for heat equation with Neumann boundary conditions. II. Zbl 1422.65152
Gao, Guang-Hua; Sun, Zhi-Zhong
17
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
104
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
59
2012
A three level linearized compact difference scheme for the Cahn-Hilliard equation. Zbl 1262.65106
Li, Juan; Sun, Zhizhong; Zhao, Xuan
33
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
20
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
220
2011
Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation. Zbl 1242.65174
Zhang, Ya-Nan; Sun, Zhi-Zhong
105
2011
Error estimates of Crank-Nicolson-type difference schemes for the subdiffusion equation. Zbl 1251.65132
Zhang, Yanan; Sun, Zhizhong; Wu, Hongwei
91
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
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.
127
2010
Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations. Zbl 1196.65154
Liao, Honglin; Sun, Zhizhong
105
2010
Error estimate of fourth-order compact scheme for linear Schrödinger equations. Zbl 1208.65130
Liao, Honglin; Sun, Zhizhong; Shi, Hansheng
62
2010
On the \(L_\infty \) convergence of a difference scheme for coupled nonlinear Schrödinger equations. Zbl 1198.65173
Sun, Zhi-Zhong; Zhao, Dan-Dan
48
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
51
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
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
...and 24 more Documents
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Cited by 1,871 Authors

81 Sun, Zhizhong
47 Dehghan Takht Fooladi, Mehdi
44 Liu, Fawang
43 Xu, Da
35 Sun, Haiwei
33 Abbaszadeh, Mostafa
31 Li, Hong
31 Wang, Hong
30 Liu, Yang
30 Wang, Tingchun
28 Zhang, Chengjian
27 Zhang, Jiwei
26 Vong, Seakweng
26 Wang, Zhibo
24 Huang, Chengming
24 Turner, Ian William
24 Zhang, Luming
23 Liao, HongLin
23 Wang, Yushun
22 Gao, Guanghua
22 Li, Dongfang
22 Wang, Yuanming
21 Tang, Yifa
21 Yang, Xuehua
21 Zheng, Xiangcheng
20 Jiang, Xiaoyun
20 Li, Changpin
20 Zhang, Haixiang
19 Zhang, Qifeng
18 Deng, Weihua
18 Lu, Shujuan
17 Li, Meng
17 Li, Xiaoli
17 Qiu, Wenlin
17 Yan, Yubin
17 Zaky, Mahmoud A.
16 Dai, Weizhong
16 Karniadakis, George Em
16 Zeng, Fanhai
15 Bu, Weiping
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
14 Qiao, Leijie
13 Alikhanov, Anatoliĭ Alievich
13 Fu, Hongfei
13 Machado, José António Tenreiro
13 Omrani, Khaled
13 Ren, Jincheng
13 Sun, Hongguang
13 Wei, LeiLei
13 Yin, Baoli
13 Zhang, Zhimin
13 Zhao, Yanmin
12 Anh, Vo V.
12 Chen, Minghua
12 Deng, Dingwen
12 Huang, Jianfei
12 Lei, Siulong
12 Rui, Hongxing
12 Xu, Chuanju
11 Băleanu, Dumitru I.
11 Bhrawy, Ali Hassan
11 Cai, Wenjun
11 Chen, Hu
11 Cheng, Aijie
11 Du, Rui
11 Jin, Bangti
11 Li, Buyang
11 Liang, Dong
11 Qiao, Zhonghua
11 Zhai, Shuying
11 Zhang, Zhiyue
10 Cao, Wanrong
10 Ding, Hengfei
10 Hu, Xiuling
10 Liu, Huan
10 Liu, Zhengguang
10 Mei, Liquan
10 Ng, Michael Kwok-Po
10 Ran, Maohua
10 Wang, Cheng
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 Guo, Boling
9 Huang, Chaobao
9 Huang, Ting-Zhu
9 Lin, Xuelei
...and 1,771 more Authors
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Cited in 182 Serials

146 Applied Numerical Mathematics
137 Computers & Mathematics with Applications
128 Applied Mathematics and Computation
128 Journal of Scientific Computing
111 Journal of Computational Physics
95 Journal of Computational and Applied Mathematics
83 Numerical Algorithms
74 International Journal of Computer Mathematics
54 Computational and Applied Mathematics
51 Advances in Difference Equations
48 Applied Mathematics Letters
40 Mathematics and Computers in Simulation
40 Numerical Methods for Partial Differential Equations
33 Communications in Nonlinear Science and Numerical Simulation
30 Fractional Calculus & Applied Analysis
29 Applied Mathematical Modelling
28 Journal of Applied Mathematics and Computing
26 SIAM Journal on Scientific Computing
24 SIAM Journal on Numerical Analysis
23 Advances in Applied Mathematics and Mechanics
21 East Asian Journal on Applied Mathematics
18 Advances in Computational Mathematics
17 Communications on Applied Mathematics and Computation
16 Engineering Analysis with Boundary Elements
15 Chaos, Solitons and Fractals
13 Journal of Function Spaces
12 Applicable Analysis
12 Computer Methods in Applied Mechanics and Engineering
12 Mathematics of Computation
12 Communications in Computational Physics
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
6 Journal of Computational Mathematics
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 Mathematical Modelling and Analysis
5 Discrete and Continuous Dynamical Systems. Series B
5 Boundary Value Problems
5 Advances in Mathematical Physics
4 Computer Physics Communications
4 ETNA. Electronic Transactions on Numerical Analysis
4 Journal of Difference Equations and Applications
4 Chaos
4 Differential Equations
4 International Journal of Computational Methods
4 Computational Methods for Differential Equations
3 International Journal of Numerical Methods for Heat & Fluid Flow
3 Journal of Vibration and Control
3 Discrete Dynamics in Nature and Society
3 International Journal of Nonlinear Sciences and Numerical Simulation
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 Results in Applied Mathematics
2 Journal of Computational and Theoretical Transport
1 Acta Mechanica
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Cited in 37 Fields

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32 Classical thermodynamics, heat transfer (80-XX)
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27 Probability theory and stochastic processes (60-XX)
26 Linear and multilinear algebra; matrix theory (15-XX)
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26 Biology and other natural sciences (92-XX)
21 Integral transforms, operational calculus (44-XX)
21 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
20 Calculus of variations and optimal control; optimization (49-XX)
16 Systems theory; control (93-XX)
15 Difference and functional equations (39-XX)
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7 Information and communication theory, circuits (94-XX)
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