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Sun, Zhizhong

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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, Z.; Sun, ZhiZhong; Sun, Z. Z.
Documents Indexed: 155 Publications since 1989, including 2 Books
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
5 Journal of Computational and Applied Mathematics
5 Numerical Mathematics
5 East Asian Journal on Applied Mathematics
4 Computers & Mathematics with Applications
4 Mathematica Numerica Sinica
4 Journal of Nanjing University. Mathematical Biquarterly
4 Applied Mathematical Modelling
3 SIAM Journal on Numerical Analysis
3 Journal of Computational Mathematics
3 Numerical Algorithms
3 Numerical Mathematics: Theory, Methods and Applications
2 Mathematics of Computation
2 Numerische Mathematik
2 Acta Mathematicae Applicatae Sinica
2 Applied Numerical Mathematics
2 Applied Mathematics Letters
2 Journal of Southeast University
2 Numerical Mathematics
2 Advances in Computational Mathematics
2 Computational Methods in Applied 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 Springer Finance
1 Communications on Applied Mathematics and Computation

Publications by Year

Citations contained in zbMATH Open

113 Publications have been cited 2,995 times in 1,510 Documents Cited by Year
A fully discrete difference scheme for a diffusion-wave system. Zbl 1094.65083
Sun, Zhi-Zhong; Wu, Xiaonan
452
2006
A compact finite difference scheme for the fractional sub-diffusion equations. Zbl 1211.65112
Gao, Guanghua; Sun, Zhizhong
183
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
153
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
110
2014
A compact difference scheme for the fractional diffusion-wave equation. Zbl 1201.65154
Du, R.; Cao, W. R.; Sun, Z. Z.
106
2010
Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation. Zbl 1242.65174
Zhang, Ya-Nan; Sun, Zhi-Zhong
91
2011
Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations. Zbl 1196.65154
Liao, Honglin; Sun, Zhizhong
90
2010
Compact alternating direction implicit scheme for the two-dimensional fractional diffusion-wave equation. Zbl 1251.65126
Zhang, Ya-Nan; Sun, Zhi-Zhong; Zhao, Xuan
88
2012
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
82
2014
A fourth-order approximation of fractional derivatives with its applications. Zbl 1352.65238
Hao, Zhao-peng; Sun, Zhi-zhong; Cao, Wan-rong
77
2015
Second-order approximations for variable order fractional derivatives: algorithms and applications. Zbl 1349.65092
Zhao, Xuan; Sun, Zhi-zhong; Karniadakis, George Em
72
2015
Error estimates of Crank-Nicolson-type difference schemes for the subdiffusion equation. Zbl 1251.65132
Zhang, Yanan; Sun, Zhizhong; Wu, Hongwei
70
2011
Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions. Zbl 1291.35428
Ren, Jincheng; Sun, Zhi-Zhong; Zhao, Xuan
61
2013
A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions. Zbl 1227.65075
Zhao, Xuan; Sun, Zhi-Zhong
59
2011
A second-order accurate linearized difference scheme for the two-dimensional Cahn-Hilliard equation. Zbl 0847.65056
Sun, Zhizhong
58
1995
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
53
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
52
2012
Error estimate of fourth-order compact scheme for linear Schrödinger equations. Zbl 1208.65130
Liao, Honglin; Sun, Zhizhong; Shi, Hansheng
50
2010
Compact difference schemes for heat equation with Neumann boundary conditions. Zbl 1181.65115
Sun, Zhi-Zhong
46
2009
Some high-order difference schemes for the distributed-order differential equations. Zbl 1349.65296
Gao, Guang-hua; Sun, Hai-wei; Sun, Zhi-zhong
44
2015
A high-order compact finite difference scheme for the fractional sub-diffusion equation. Zbl 1328.65176
Ji, Cui-cui; Sun, Zhi-zhong
44
2015
On the \(L_\infty \) convergence of a difference scheme for coupled nonlinear Schrödinger equations. Zbl 1198.65173
Sun, Zhi-Zhong; Zhao, Dan-Dan
39
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
37
2017
Compact Crank-Nicolson schemes for a class of fractional Cattaneo equation in inhomogeneous medium. Zbl 1319.65084
Zhao, Xuan; Sun, Zhi-Zhong
36
2015
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
35
2013
On Tsertvadze’s difference scheme for the Kuramoto-Tsuzuki equation. Zbl 0933.65104
Sun, Zhizhong; Zhu, Qiding
32
1998
Two alternating direction implicit difference schemes for two-dimensional distributed-order fractional diffusion equations. Zbl 1373.65055
Gao, Guang-hua; Sun, Zhi-zhong
32
2016
A linearized compact difference scheme for a class of nonlinear delay partial differential equations. Zbl 1352.65270
Sun, Zhi-Zhong; Zhang, Zai-Bin
30
2013
A three level linearized compact difference scheme for the Cahn-Hilliard equation. Zbl 1262.65106
Li, Juan; Sun, Zhizhong; Zhao, Xuan
29
2012
Some temporal second order difference schemes for fractional wave equations. Zbl 1352.65269
Sun, Hong; Sun, Zhi-Zhong; Gao, Guang-Hua
27
2016
Error analysis of a compact ADI scheme for the 2D fractional subdiffusion equation. Zbl 1304.65208
Zhang, Ya-Nan; Sun, Zhi-Zhong
26
2014
Efficient numerical solution of the multi-term time fractional diffusion-wave equation. Zbl 1322.65088
Ren, Jincheng; Sun, Zhi-Zhong
25
2015
Convergence of difference scheme for heat equation in unbounded domains using artificial boundary conditions. Zbl 1053.65074
Wu, Xiaonan; Sun, Zhizhong
24
2004
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
24
2015
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
22
2013
The stability and convergence of a difference scheme for the Schrödinger equation on an infinite domain by using artificial boundary conditions. Zbl 1094.65088
Sun, Zhi-zhong; Wu, Xiaonan
21
2006
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
21
2012
Efficient and stable numerical methods for multi-term time fractional sub-diffusion equations. Zbl 1320.65120
Ren, Jincheng; Sun, Zhi-Zhong
19
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
19
2013
A finite difference scheme for semilinear space-fractional diffusion equations with time delay. Zbl 1410.65310
Hao, Zhaopeng; Fan, Kai; Cao, Wanrong; Sun, Zhizhong
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
Finite difference methods for a nonlinear and strongly coupled heat and moisture transport system in textile materials. Zbl 1332.76034
Sun, Weiwei; Sun, Zhizhong
16
2012
Some high order difference schemes for the space and time fractional Bloch-Torrey equations. Zbl 1410.65329
Sun, Hong; Sun, Zhizhong; Gao, Guanghua
16
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
16
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
15
2016
Convergence of compact ADI method for solving linear Schrödinger equations. Zbl 1259.65135
Liao, Honglin; Sun, Zhizhong; Shi, Hansheng; Wang, Tingchun
14
2012
Compact difference schemes for heat equation with Neumann boundary conditions. II. Zbl 1422.65152
Gao, Guang-Hua; Sun, Zhi-Zhong
14
2013
A note on finite difference method for generalized Zakharov equations. Zbl 1007.65052
Sun, Zhizhong
13
2000
A linearized high-order difference scheme for the fractional Ginzburg-Landau equation. Zbl 1359.65150
Hao, Zhao-Peng; Sun, Zhi-Zhong
13
2017
Maximum norm error estimates of efficient difference schemes for second-order wave equations. Zbl 1227.65082
Liao, Honglin; Sun, Zhizhong
13
2011
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
12
2019
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
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
11
2001
A three-level linearized compact difference scheme for the Ginzburg-Landau equation. Zbl 1320.65116
Hao, Zhao-Peng; Sun, Zhi-Zhong; Cao, Wan-Rong
11
2015
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
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
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
9
2007
A high-order difference scheme for a nonlocal boundary-value problem for the heat equation. Zbl 0996.65095
Sun, Zhi-Zhong
8
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
8
2016
Two difference schemes for solving the one-dimensional time distributed-order fractional wave equations. Zbl 1372.65229
Gao, Guang-hua; Sun, Zhi-zhong
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
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
8
2020
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
A two-level compact ADI method for solving second-order wave equations. Zbl 1279.65099
Liao, Hong-Lin; Sun, Zhi-Zhong
7
2013
Corrected explicit-implicit domain decomposition algorithms for two-dimensional semilinear parabolic equations. Zbl 1183.65120
Liao, HongLin; Shi, HanSheng; Sun, ZhiZhong
7
2009
On two linearized difference schemes for Burgers’ equation. Zbl 1398.65219
Sun, Hong; Sun, Zhi-zhong
7
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
7
2017
On \(L_\infty\) convergence of a linearized difference scheme for the Kuramoto-Tsuzuki equation. Zbl 0911.65076
Sun, Zhizhong
6
1997
The high-order compact numerical algorithms for the two-dimensional fractional sub-diffusion equation. Zbl 1410.65315
Ji, Cui-cui; Sun, Zhi-zhong
6
2015
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
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 finite difference schemes for the phase field crystal equation. Zbl 1335.82030
Cao, HaiYan; Sun, ZhiZhong
5
2015
A difference scheme for Burgers equation in an unbounded domain. Zbl 1214.65047
Sun, Zhi-Zhong; Wu, Xiao-Nan
5
2009
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
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
4
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
4
2017
A Crank-Nicolson scheme for a class of delay nonlinear parabolic differential equations. Zbl 1240.65266
Zhang, Zaibin; Sun, Zhizhong
4
2010
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
4
2014
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
4
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
4
2019
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
4
2015
A sufficient condition for the existence of restricted fractional \((g, f)\)-factors in graphs. Zbl 1459.05275
Zhou, S.; Sun, Z.; Pan, Q.
4
2020
A new class of difference schemes for linear parabolic equations in 1-D. Zbl 0900.65261
Sun, Zhizhong
3
1994
Numerical simulation of turbulent jet flow and combustion. Zbl 0969.76602
Zhou, X.; Sun, Z.; Durst, F.; Brenner, G.
3
1999
Maximum norm error analysis of difference schemes for fractional diffusion equations. Zbl 1339.65136
Ren, Jincheng; Sun, Zhi-zhong
3
2015
Finite difference method for reaction-diffusion equation with nonlocal boundary conditions. Zbl 1174.65460
Liu, Jianming; Sun, Zhizhong
3
2007
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 three-level linearized finite difference scheme for the Camassa-Holm equation. Zbl 1290.65071
Cao, Hai-Yan; Sun, Zhi-Zhong; Gao, Guang-Hua
3
2014
New approximations for solving the Caputo-type fractional partial differential equations. Zbl 1452.65176
Ren, Jincheng; Sun, Zhi-zhong; Dai, Weizhong
3
2016
A second-order difference scheme for a model in oil deposit. Zbl 0940.86005
Sun, Zhizhong
2
1997
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
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 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
2
2012
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 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
2
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
2
2020
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
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
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
8
2020
A sufficient condition for the existence of restricted fractional \((g, f)\)-factors in graphs. Zbl 1459.05275
Zhou, S.; Sun, Z.; Pan, Q.
4
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
2
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
2
2020
The temporal second order difference schemes based on the interpolation approximation for the time multi-term fractional wave equation. Zbl 1437.35696
Sun, Hong; Zhao, Xuan; Sun, Zhi-Zhong
12
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
4
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
4
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
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
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
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
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
37
2017
A linearized high-order difference scheme for the fractional Ginzburg-Landau equation. Zbl 1359.65150
Hao, Zhao-Peng; Sun, Zhi-Zhong
13
2017
Two difference schemes for solving the one-dimensional time distributed-order fractional wave equations. Zbl 1372.65229
Gao, Guang-hua; Sun, Zhi-zhong
8
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
7
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
4
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
32
2016
Some temporal second order difference schemes for fractional wave equations. Zbl 1352.65269
Sun, Hong; Sun, Zhi-Zhong; Gao, Guang-Hua
27
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
18
2016
Some high order difference schemes for the space and time fractional Bloch-Torrey equations. Zbl 1410.65329
Sun, Hong; Sun, Zhizhong; Gao, Guanghua
16
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
16
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
15
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
12
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
8
2016
New approximations for solving the Caputo-type fractional partial differential equations. Zbl 1452.65176
Ren, Jincheng; Sun, Zhi-zhong; Dai, Weizhong
3
2016
A fourth-order approximation of fractional derivatives with its applications. Zbl 1352.65238
Hao, Zhao-peng; Sun, Zhi-zhong; Cao, Wan-rong
77
2015
Second-order approximations for variable order fractional derivatives: algorithms and applications. Zbl 1349.65092
Zhao, Xuan; Sun, Zhi-zhong; Karniadakis, George Em
72
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
53
2015
Some high-order difference schemes for the distributed-order differential equations. Zbl 1349.65296
Gao, Guang-hua; Sun, Hai-wei; Sun, Zhi-zhong
44
2015
A high-order compact finite difference scheme for the fractional sub-diffusion equation. Zbl 1328.65176
Ji, Cui-cui; Sun, Zhi-zhong
44
2015
Compact Crank-Nicolson schemes for a class of fractional Cattaneo equation in inhomogeneous medium. Zbl 1319.65084
Zhao, Xuan; Sun, Zhi-Zhong
36
2015
Efficient numerical solution of the multi-term time fractional diffusion-wave equation. Zbl 1322.65088
Ren, Jincheng; Sun, Zhi-Zhong
25
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
24
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
11
2015
On two linearized difference schemes for Burgers’ equation. Zbl 1398.65219
Sun, Hong; Sun, Zhi-zhong
7
2015
The high-order compact numerical algorithms for the two-dimensional fractional sub-diffusion equation. Zbl 1410.65315
Ji, Cui-cui; Sun, Zhi-zhong
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 finite difference schemes for the phase field crystal equation. Zbl 1335.82030
Cao, HaiYan; Sun, ZhiZhong
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
4
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
153
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
110
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
82
2014
Error analysis of a compact ADI scheme for the 2D fractional subdiffusion equation. Zbl 1304.65208
Zhang, Ya-Nan; Sun, Zhi-Zhong
26
2014
Efficient and stable numerical methods for multi-term time fractional sub-diffusion equations. Zbl 1320.65120
Ren, Jincheng; Sun, Zhi-Zhong
19
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
4
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
3
2014
A second-order three-level difference scheme for a magneto-thermo-elasticity model. Zbl 1311.74136
Cao, Hai-Yan; Sun, Zhi-Zhong; Zhao, Xuan
1
2014
A numerical method for solving the nonlinear Fermi-Pasta-Ulam problem. Zbl 1290.65081
Ren, Jincheng; Sun, Zhi-Zhong; Cao, Hai-Yan
1
2014
Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions. Zbl 1291.35428
Ren, Jincheng; Sun, Zhi-Zhong; Zhao, Xuan
61
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
35
2013
A linearized compact difference scheme for a class of nonlinear delay partial differential equations. Zbl 1352.65270
Sun, Zhi-Zhong; Zhang, Zai-Bin
30
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
22
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
19
2013
Compact difference schemes for heat equation with Neumann boundary conditions. II. Zbl 1422.65152
Gao, Guang-Hua; Sun, Zhi-Zhong
14
2013
A two-level compact ADI method for solving second-order wave equations. Zbl 1279.65099
Liao, Hong-Lin; Sun, Zhi-Zhong
7
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
88
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
52
2012
A three level linearized compact difference scheme for the Cahn-Hilliard equation. Zbl 1262.65106
Li, Juan; Sun, Zhizhong; Zhao, Xuan
29
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
21
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
16
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 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 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
2
2012
A compact finite difference scheme for the fractional sub-diffusion equations. Zbl 1211.65112
Gao, Guanghua; Sun, Zhizhong
183
2011
Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation. Zbl 1242.65174
Zhang, Ya-Nan; Sun, Zhi-Zhong
91
2011
Error estimates of Crank-Nicolson-type difference schemes for the subdiffusion equation. Zbl 1251.65132
Zhang, Yanan; Sun, Zhizhong; Wu, Hongwei
70
2011
A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions. Zbl 1227.65075
Zhao, Xuan; Sun, Zhi-Zhong
59
2011
Maximum norm error estimates of efficient difference schemes for second-order wave equations. Zbl 1227.65082
Liao, Honglin; Sun, Zhizhong
13
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.
106
2010
Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations. Zbl 1196.65154
Liao, Honglin; Sun, Zhizhong
90
2010
Error estimate of fourth-order compact scheme for linear Schrödinger equations. Zbl 1208.65130
Liao, Honglin; Sun, Zhizhong; Shi, Hansheng
50
2010
On the \(L_\infty \) convergence of a difference scheme for coupled nonlinear Schrödinger equations. Zbl 1198.65173
Sun, Zhi-Zhong; Zhao, Dan-Dan
39
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
Compact difference schemes for heat equation with Neumann boundary conditions. Zbl 1181.65115
Sun, Zhi-Zhong
46
2009
Corrected explicit-implicit domain decomposition algorithms for two-dimensional semilinear parabolic equations. Zbl 1183.65120
Liao, HongLin; Shi, HanSheng; Sun, ZhiZhong
7
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
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
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
9
2007
Finite difference method for reaction-diffusion equation with nonlocal boundary conditions. Zbl 1174.65460
Liu, Jianming; Sun, Zhizhong
3
2007
A fully discrete difference scheme for a diffusion-wave system. Zbl 1094.65083
Sun, Zhi-Zhong; Wu, Xiaonan
452
2006
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
21
2006
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
Convergence of difference scheme for heat equation in unbounded domains using artificial boundary conditions. Zbl 1053.65074
Wu, Xiaonan; Sun, Zhizhong
24
2004
A second order accurate difference scheme for the heat equation with concentrated capacity. Zbl 1060.65097
Sun, Zhizhong; Zhu, You-lan
7
2004
A second-order linearized difference scheme on nonuniform meshes for nonlinear parabolic systems with Neumann boundary value conditions. Zbl 1047.65076
Zhang, Ling-yun; Sun, Zhi-zhong
1
2004
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
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
11
2001
...and 13 more Documents
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Cited by 1,514 Authors

76 Sun, Zhizhong
44 Dehghan Takht Fooladi, Mehdi
39 Liu, Fawang
34 Xu, Da
31 Abbaszadeh, Mostafa
28 Wang, Tingchun
26 Zhang, Chengjian
26 Zhang, Jiwei
24 Vong, Seakweng
24 Wang, Hong
23 Liao, HongLin
23 Zhang, Luming
22 Gao, Guanghua
22 Sun, Haiwei
22 Turner, Ian William
21 Huang, Chengming
21 Li, Hong
21 Liu, Yang
21 Wang, Yushun
21 Wang, Zhibo
20 Tang, Yifa
20 Wang, Yuanming
18 Deng, Weihua
18 Jiang, Xiaoyun
18 Li, Dongfang
16 Karniadakis, George Em
15 Bu, Weiping
15 Li, Changpin
15 Xiao, Aiguo
15 Zhou, Zhi
14 Dai, Weizhong
14 Li, Meng
14 Yan, Yubin
14 Yang, Xuehua
14 Zeng, Fanhai
14 Zhang, Qifeng
14 Zheng, Xiangcheng
13 Lyu, Pin
13 Machado, José António Tenreiro
13 Zaky, Mahmoud A.
13 Zhang, Haixiang
12 Feng, Libo
12 Hao, Zhaopeng
12 Li, Xiaoli
12 Lu, Shujuan
12 Mohebbi, Akbar
12 Ren, Jincheng
12 Zhang, Zhimin
12 Zhao, Yongliang
11 Anh, Vo V.
11 Bhrawy, Ali Hassan
11 Chen, Minghua
11 Gu, Xian-Ming
11 Jin, Bangti
11 Liang, Dong
11 Omrani, Khaled
11 Sun, Hongguang
11 Wei, LeiLei
11 Zhang, Zhiyue
11 Zhao, Yanmin
10 Cai, Wenjun
10 Deng, Dingwen
10 Fu, Hongfei
10 Hendy, Ahmed S.
10 Hu, Xiuling
10 Lei, Siulong
10 Li, Buyang
10 Qiao, Zhonghua
10 Wang, Dongling
10 Wang, Jilu
10 Wang, Pengde
10 Wu, Xiaonan
10 Yin, Baoli
10 Zhai, Shuying
9 Alikhanov, Anatoly A.
9 Băleanu, Dumitru I.
9 Cao, Wanrong
9 Cui, Mingrong
9 Du, Rui
9 Guo, Boling
9 Huang, Jianfei
9 Huang, Ting-Zhu
9 Mei, Liquan
9 Ran, Maohua
9 Rui, Hongxing
9 Xu, Chuanju
9 Zayernouri, Mohsen
9 Zheng, Chunxiong
8 Gao, Huadong
8 Ji, Cuicui
8 Mustapha, Kassem
8 Ng, Michael Kwok-Po
8 Qiu, Wenlin
8 Ren, Lei
8 Shi, Dongyang
8 Sun, Weiwei
8 Wang, Cheng
7 Abdelkawy, Mohamed A.
7 Cheng, Aijie
7 Ding, Hengfei
...and 1,414 more Authors
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Cited in 161 Serials

127 Applied Numerical Mathematics
118 Computers & Mathematics with Applications
118 Applied Mathematics and Computation
112 Journal of Scientific Computing
103 Journal of Computational Physics
80 Journal of Computational and Applied Mathematics
76 Numerical Algorithms
41 Applied Mathematics Letters
41 Computational and Applied Mathematics
40 Numerical Methods for Partial Differential Equations
34 International Journal of Computer Mathematics
29 Applied Mathematical Modelling
27 Advances in Difference Equations
26 Mathematics and Computers in Simulation
25 SIAM Journal on Scientific Computing
24 Fractional Calculus & Applied Analysis
23 Communications in Nonlinear Science and Numerical Simulation
21 SIAM Journal on Numerical Analysis
18 Advances in Applied Mathematics and Mechanics
17 East Asian Journal on Applied Mathematics
16 Advances in Computational Mathematics
16 Engineering Analysis with Boundary Elements
16 Journal of Applied Mathematics and Computing
13 Communications on Applied Mathematics and Computation
12 Computer Methods in Applied Mechanics and Engineering
12 Communications in Computational Physics
11 Science China. Mathematics
10 Mathematics of Computation
10 Nonlinear Dynamics
10 Journal of Applied Analysis and Computation
9 Numerische Mathematik
9 Mathematical Problems in Engineering
8 Applicable Analysis
8 Acta Mathematicae Applicatae Sinica. English Series
8 Computational Methods in Applied Mathematics
7 Abstract and Applied Analysis
7 Journal of Function Spaces
6 Journal of Mathematical Analysis and Applications
6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6 Inverse Problems in Science and Engineering
5 Mathematical Methods in the Applied Sciences
5 BIT
5 Calcolo
5 Numerical Functional Analysis and Optimization
5 Taiwanese Journal of Mathematics
4 Computer Physics Communications
4 Chaos, Solitons and Fractals
4 Chaos
4 Lobachevskii Journal of Mathematics
4 Discrete and Continuous Dynamical Systems. Series B
4 International Journal of Computational Methods
4 Boundary Value Problems
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 Differential Equations
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Mediterranean Journal of Mathematics
3 Advances in Mathematical Physics
2 Computers and Fluids
2 Inverse Problems
2 Journal of Mathematical Physics
2 Physica A
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 SIAM Journal on Control and Optimization
2 Acta Applicandae Mathematicae
2 Japan Journal of Industrial and Applied Mathematics
2 Journal of Mathematical Sciences (New York)
2 Filomat
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2 ETNA. Electronic Transactions on Numerical Analysis
2 Complexity
2 Journal of Difference Equations and Applications
2 Differential Equations and Dynamical Systems
2 Journal of Applied Mathematics
2 Multiscale Modeling & Simulation
2 Structural and Multidisciplinary Optimization
2 International Journal of Numerical Analysis and Modeling
2 Journal of Statistical Mechanics: Theory and Experiment
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 Computational Methods for Differential Equations
2 International Journal of Applied and Computational Mathematics
1 Acta Mechanica
1 International Journal of Control
1 Journal of the Franklin Institute
1 Lithuanian Mathematical Journal
1 Rocky Mountain Journal of Mathematics
1 Ukrainian Mathematical Journal
1 Wave Motion
1 Computing
1 Demonstratio Mathematica
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1 Journal of the Korean Mathematical Society
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Systems & Control Letters
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13 Integral transforms, operational calculus (44-XX)
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