## Sun, Zhizhong

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 Author ID: sun.zhizhong Published as: Sun, Zhi-Zhong; Sun, Zhizhong; Sun, Zhi-zhong; Sun, ZhiZhong; Sun, Zhi Zhong more...less
 Documents Indexed: 161 Publications since 1989, including 2 Books Co-Authors: 67 Co-Authors with 129 Joint Publications 2,162 Co-Co-Authors
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### Co-Authors

 23 single-authored 19 Gao, Guanghua 9 Zhao, Xuan 8 Hao, Zhaopeng 8 Ji, Cuicui 8 Liao, HongLin 8 Sun, Hong 8 Wu, Xiaonan 7 Ren, Jincheng 7 Zhang, Yanan 6 Dai, Weizhong 6 Du, Rui 6 Shen, Jinye 5 Cao, Haiyan 5 Cao, Wanrong 5 Du, Ruilian 4 Shi, Hansheng 4 Wang, Xuping 4 Zhang, Jiwei 4 Zhang, Qifeng 3 Zhao, Lei 2 Alikhanov, Anatoly A. 2 Brenner, Gunther 2 Chen, Shaobing 2 Durst, Franz 2 Li, Fule 2 Li, Weidong 2 Li, Xueling 2 Liu, Jianming 2 Pan, Zhushan 2 Qiao, Zhonghua 2 Sun, Haiwei 2 Wang, Desheng 2 Wang, Jialing 2 Wang, Tingchun 2 Wu, Hongwei 2 Ye, Chao-rong 2 Zhang, Lingyun 2 Zhang, Zaibin 2 Zhang, Zhengru 2 Zhu, Youlan 1 Anjos, Miguel F. 1 Axelbaum, Richard L. 1 Chao, Bor-Herng 1 Chern, I-Liang 1 Cui, Jin 1 Davenne, Luc 1 Emine, Y. 1 Fan, Kai 1 Hamill, P. A. 1 Han, Houde 1 Hesthaven, Jan S. 1 Jiang, Mingjie 1 Karniadakis, George Em 1 Li, Juan 1 Li, Youwei 1 Lin, Guang 1 Liu, Desheng 1 Lodi, Andrea 1 Pecastaings, F. 1 Peng, Fei 1 Qin, Yifan 1 Ren, Yunzhu 1 Santa, K. J. 1 Shen, Longjun 1 Shi, Peihu 1 Stocker, D. P. 1 Stynes, Martin 1 Su, Yucheng 1 Sun, Weiwei 1 Sunderland, P. B. 1 Urban, D. L. 1 Vigne, Samuel A. 1 Wan, Zhengsu 1 Wu, Chikuang 1 Wu, Jingyu 1 Xie, Shijie 1 Xu, Peipei 1 Yan, Yonggui 1 Yang, Mei 1 Zhang, Jiyuan 1 Zhang, Yulian 1 Zhang, Zhimin 1 Zhao, Dandan 1 Zhu, Qiding 1 Zhu, Yun
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### 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
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### Fields

 148 Numerical analysis (65-XX) 113 Partial differential equations (35-XX) 12 Classical thermodynamics, heat transfer (80-XX) 11 Fluid mechanics (76-XX) 10 Real functions (26-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Ordinary differential equations (34-XX) 6 Integral equations (45-XX) 5 Mechanics of deformable solids (74-XX) 2 Probability theory and stochastic processes (60-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)

### 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
2006
A compact finite difference scheme for the fractional sub-diffusion equations. Zbl 1211.65112
Gao, Guanghua; Sun, Zhizhong
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
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
2014
A compact difference scheme for the fractional diffusion-wave equation. Zbl 1201.65154
Du, R.; Cao, W. R.; Sun, Z. Z.
2010
Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations. Zbl 1196.65154
Liao, Honglin; Sun, Zhizhong
2010
Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation. Zbl 1242.65174
Zhang, Ya-Nan; Sun, Zhi-Zhong
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
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
2012
A fourth-order approximation of fractional derivatives with its applications. Zbl 1352.65238
Hao, Zhao-peng; Sun, Zhi-zhong; Cao, Wan-rong
2015
Second-order approximations for variable order fractional derivatives: algorithms and applications. Zbl 1349.65092
Zhao, Xuan; Sun, Zhi-zhong; Karniadakis, George Em
2015
Error estimates of Crank-Nicolson-type difference schemes for the subdiffusion equation. Zbl 1251.65132
Zhang, Yanan; Sun, Zhizhong; Wu, Hongwei
2011
Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions. Zbl 1291.35428
Ren, Jincheng; Sun, Zhi-Zhong; Zhao, Xuan
2013
A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions. Zbl 1227.65075
Zhao, Xuan; Sun, Zhi-Zhong
2011
Error estimate of fourth-order compact scheme for linear Schrödinger equations. Zbl 1208.65130
Liao, Honglin; Sun, Zhizhong; Shi, Hansheng
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
2015
A second-order accurate linearized difference scheme for the two-dimensional Cahn-Hilliard equation. Zbl 0847.65056
Sun, Zhizhong
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
2012
Some high-order difference schemes for the distributed-order differential equations. Zbl 1349.65296
Gao, Guang-hua; Sun, Hai-wei; Sun, Zhi-zhong
2015
Compact difference schemes for heat equation with Neumann boundary conditions. Zbl 1181.65115
Sun, Zhi-Zhong
2009
A high-order compact finite difference scheme for the fractional sub-diffusion equation. Zbl 1328.65176
Ji, Cui-cui; Sun, Zhi-zhong
2015
On the $$L_\infty$$ convergence of a difference scheme for coupled nonlinear Schrödinger equations. Zbl 1198.65173
Sun, Zhi-Zhong; Zhao, Dan-Dan
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
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
2013
Compact Crank-Nicolson schemes for a class of fractional Cattaneo equation in inhomogeneous medium. Zbl 1319.65084
Zhao, Xuan; Sun, Zhi-Zhong
2015
Some temporal second order difference schemes for fractional wave equations. Zbl 1352.65269
Sun, Hong; Sun, Zhi-Zhong; Gao, Guang-Hua
2016
Two alternating direction implicit difference schemes for two-dimensional distributed-order fractional diffusion equations. Zbl 1373.65055
Gao, Guang-hua; Sun, Zhi-zhong
2016
A linearized compact difference scheme for a class of nonlinear delay partial differential equations. Zbl 1352.65270
Sun, Zhi-Zhong; Zhang, Zai-Bin
2013
On Tsertvadze’s difference scheme for the Kuramoto-Tsuzuki equation. Zbl 0933.65104
Sun, Zhizhong; Zhu, Qiding
1998
A three level linearized compact difference scheme for the Cahn-Hilliard equation. Zbl 1262.65106
Li, Juan; Sun, Zhizhong; Zhao, Xuan
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
2015
Efficient numerical solution of the multi-term time fractional diffusion-wave equation. Zbl 1322.65088
Ren, Jincheng; Sun, Zhi-Zhong
2015
Error analysis of a compact ADI scheme for the 2D fractional subdiffusion equation. Zbl 1304.65208
Zhang, Ya-Nan; Sun, Zhi-Zhong
2014
Convergence of difference scheme for heat equation in unbounded domains using artificial boundary conditions. Zbl 1053.65074
Wu, Xiaonan; Sun, Zhizhong
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
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
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
2012
Some high order difference schemes for the space and time fractional Bloch-Torrey equations. Zbl 1410.65329
Sun, Hong; Sun, Zhizhong; Gao, Guanghua
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
2006
Efficient and stable numerical methods for multi-term time fractional sub-diffusion equations. Zbl 1320.65120
Ren, Jincheng; Sun, Zhi-Zhong
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
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
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
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
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
2019
A linearized high-order difference scheme for the fractional Ginzburg-Landau equation. Zbl 1359.65150
Hao, Zhao-Peng; Sun, Zhi-Zhong
2017
Maximum norm error estimates of efficient difference schemes for second-order wave equations. Zbl 1227.65082
Liao, Honglin; Sun, Zhizhong
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
2016
A second-order accurate finite difference scheme for a class of nonlocal parabolic equations with natural boundary conditions. Zbl 0873.65129
Sun, Zhizhong
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
2016
Compact difference schemes for heat equation with Neumann boundary conditions. II. Zbl 1422.65152
Gao, Guang-Hua; Sun, Zhi-Zhong
2013
Convergence of compact ADI method for solving linear Schrödinger equations. Zbl 1259.65135
Liao, Honglin; Sun, Zhizhong; Shi, Hansheng; Wang, Tingchun
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
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
2016
A note on finite difference method for generalized Zakharov equations. Zbl 1007.65052
Sun, Zhizhong
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
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
2016
A two-level compact ADI method for solving second-order wave equations. Zbl 1279.65099
Liao, Hong-Lin; Sun, Zhi-Zhong
2013
A linearized difference scheme for the Kuramoto-Tsuzuki equation. Zbl 0844.65068
Sun, Z. Z.
1996
A finite difference scheme for solving the Timoshenko beam equations with boundary feedback. Zbl 1107.74049
Li, Fule; Sun, Zhizhong
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
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
2007
A sufficient condition for the existence of restricted fractional $$(g, f)$$-factors in graphs. Zbl 1459.05275
Zhou, S.; Sun, Z.; Pan, Q.
2020
Two difference schemes for solving the one-dimensional time distributed-order fractional wave equations. Zbl 1372.65229
Gao, Guang-hua; Sun, Zhi-zhong
2017
A high-order difference scheme for a nonlocal boundary-value problem for the heat equation. Zbl 0996.65095
Sun, Zhi-Zhong
2001
Corrected explicit-implicit domain decomposition algorithms for two-dimensional semilinear parabolic equations. Zbl 1183.65120
Liao, HongLin; Shi, HanSheng; Sun, ZhiZhong
2009
On two linearized difference schemes for Burgers’ equation. Zbl 1398.65219
Sun, Hong; Sun, Zhi-zhong
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
2017
Analysis of high-order absorbing boundary conditions for the Schrödinger equation. Zbl 1388.65070
Zhang, Jiwei; Sun, Zhizhong; Wu, Xiaonan; Wang, Desheng
2011
The high-order compact numerical algorithms for the two-dimensional fractional sub-diffusion equation. Zbl 1410.65315
Ji, Cui-cui; Sun, Zhi-zhong
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
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
2019
A second order accurate difference scheme for the heat equation with concentrated capacity. Zbl 1060.65097
Sun, Zhizhong; Zhu, You-lan
2004
A generalized box scheme for the numerical solution of the Kuramoto-Tsuzuki equation. Zbl 0990.65503
Sun, Zhizhong
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
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
2017
On $$L_\infty$$ convergence of a linearized difference scheme for the Kuramoto-Tsuzuki equation. Zbl 0911.65076
Sun, Zhizhong
1997
A linearized compact difference scheme for an one-dimensional parabolic inverse problem. Zbl 1168.65378
Ye, Chao-Rong; Sun, Zhi-Zhong
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
2010
Two finite difference schemes for the phase field crystal equation. Zbl 1335.82030
Cao, HaiYan; Sun, ZhiZhong
2015
New approximations for solving the Caputo-type fractional partial differential equations. Zbl 1452.65176
Ren, Jincheng; Sun, Zhi-zhong; Dai, Weizhong
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
2018
A difference scheme for Burgers equation in an unbounded domain. Zbl 1214.65047
Sun, Zhi-Zhong; Wu, Xiao-Nan
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
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
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
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
2018
A Crank-Nicolson scheme for a class of delay nonlinear parabolic differential equations. Zbl 1240.65266
Zhang, Zaibin; Sun, Zhizhong
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
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
2014
Numerical simulation of turbulent jet flow and combustion. Zbl 0969.76602
Zhou, X.; Sun, Z.; Durst, F.; Brenner, G.
1999
A new class of difference schemes for linear parabolic equations in 1-D. Zbl 0900.65261
Sun, Zhizhong
1994
Finite difference method for reaction-diffusion equation with nonlocal boundary conditions. Zbl 1174.65460
Liu, Jianming; Sun, Zhizhong
2007
Maximum norm error analysis of difference schemes for fractional diffusion equations. Zbl 1339.65136
Ren, Jincheng; Sun, Zhi-zhong
2015
A high-order difference scheme for the fractional sub-diffusion equation. Zbl 1364.65164
Hao, Zhao-Peng; Lin, Guang; Sun, Zhi-Zhong
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
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
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
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
2003
Derivative securities and difference methods. 2nd ed. Zbl 1337.91006
Zhu, You-lan; Wu, Xiaonan; Chern, I-Liang; Sun, Zhi-zhong
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
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
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
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
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
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
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
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
2020
A sufficient condition for the existence of restricted fractional $$(g, f)$$-factors in graphs. Zbl 1459.05275
Zhou, S.; Sun, Z.; Pan, Q.
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
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
2020
Fractional differential equations. Finite difference methods. Zbl 1440.65003
Sun, Zhi-zhong; Gao, Guang-hua
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
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
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
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
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
2019
A compact difference scheme for multi-point boundary value problems of heat equations. Zbl 1449.65203
Wang, Xuping; Sun, Zhizhong
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
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
2018
A high-order difference scheme for the space and time fractional Bloch-Torrey equation. Zbl 1382.65262
Zhu, Yun; Sun, Zhi-Zhong
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
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
2017
A linearized high-order difference scheme for the fractional Ginzburg-Landau equation. Zbl 1359.65150
Hao, Zhao-Peng; Sun, Zhi-Zhong
2017
Two difference schemes for solving the one-dimensional time distributed-order fractional wave equations. Zbl 1372.65229
Gao, Guang-hua; Sun, Zhi-zhong
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
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
2017
A high-order difference scheme for the fractional sub-diffusion equation. Zbl 1364.65164
Hao, Zhao-Peng; Lin, Guang; Sun, Zhi-Zhong
2017
Some temporal second order difference schemes for fractional wave equations. Zbl 1352.65269
Sun, Hong; Sun, Zhi-Zhong; Gao, Guang-Hua
2016
Two alternating direction implicit difference schemes for two-dimensional distributed-order fractional diffusion equations. Zbl 1373.65055
Gao, Guang-hua; Sun, Zhi-zhong
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
2016
Some high order difference schemes for the space and time fractional Bloch-Torrey equations. Zbl 1410.65329
Sun, Hong; Sun, Zhizhong; Gao, Guanghua
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
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
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
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
2016
New approximations for solving the Caputo-type fractional partial differential equations. Zbl 1452.65176
Ren, Jincheng; Sun, Zhi-zhong; Dai, Weizhong
2016
A fourth-order approximation of fractional derivatives with its applications. Zbl 1352.65238
Hao, Zhao-peng; Sun, Zhi-zhong; Cao, Wan-rong
2015
Second-order approximations for variable order fractional derivatives: algorithms and applications. Zbl 1349.65092
Zhao, Xuan; Sun, Zhi-zhong; Karniadakis, George Em
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
2015
Some high-order difference schemes for the distributed-order differential equations. Zbl 1349.65296
Gao, Guang-hua; Sun, Hai-wei; Sun, Zhi-zhong
2015
A high-order compact finite difference scheme for the fractional sub-diffusion equation. Zbl 1328.65176
Ji, Cui-cui; Sun, Zhi-zhong
2015
Compact Crank-Nicolson schemes for a class of fractional Cattaneo equation in inhomogeneous medium. Zbl 1319.65084
Zhao, Xuan; Sun, Zhi-Zhong
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
2015
Efficient numerical solution of the multi-term time fractional diffusion-wave equation. Zbl 1322.65088
Ren, Jincheng; Sun, Zhi-Zhong
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
2015
On two linearized difference schemes for Burgers’ equation. Zbl 1398.65219
Sun, Hong; Sun, Zhi-zhong
2015
The high-order compact numerical algorithms for the two-dimensional fractional sub-diffusion equation. Zbl 1410.65315
Ji, Cui-cui; Sun, Zhi-zhong
2015
Two finite difference schemes for the phase field crystal equation. Zbl 1335.82030
Cao, HaiYan; Sun, ZhiZhong
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
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
2015
Maximum norm error analysis of difference schemes for fractional diffusion equations. Zbl 1339.65136
Ren, Jincheng; Sun, Zhi-zhong
2015
A high accurate and conservative difference scheme for the solutions of nonlinear Schrödinger equations. Zbl 1340.65166
Cui, Jin; Sun, Zhizhong; Wu, Hongwei
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
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
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
2014
Error analysis of a compact ADI scheme for the 2D fractional subdiffusion equation. Zbl 1304.65208
Zhang, Ya-Nan; Sun, Zhi-Zhong
2014
Efficient and stable numerical methods for multi-term time fractional sub-diffusion equations. Zbl 1320.65120
Ren, Jincheng; Sun, Zhi-Zhong
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
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
2014
A numerical method for solving the nonlinear Fermi-Pasta-Ulam problem. Zbl 1290.65081
Ren, Jincheng; Sun, Zhi-Zhong; Cao, Hai-Yan
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
2014
Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions. Zbl 1291.35428
Ren, Jincheng; Sun, Zhi-Zhong; Zhao, Xuan
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
2013
A linearized compact difference scheme for a class of nonlinear delay partial differential equations. Zbl 1352.65270
Sun, Zhi-Zhong; Zhang, Zai-Bin
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
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
2013
Compact difference schemes for heat equation with Neumann boundary conditions. II. Zbl 1422.65152
Gao, Guang-Hua; Sun, Zhi-Zhong
2013
A two-level compact ADI method for solving second-order wave equations. Zbl 1279.65099
Liao, Hong-Lin; Sun, Zhi-Zhong
2013
Derivative securities and difference methods. 2nd ed. Zbl 1337.91006
Zhu, You-lan; Wu, Xiaonan; Chern, I-Liang; Sun, Zhi-zhong
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
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
2012
A three level linearized compact difference scheme for the Cahn-Hilliard equation. Zbl 1262.65106
Li, Juan; Sun, Zhizhong; Zhao, Xuan
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
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
2012
Convergence of compact ADI method for solving linear Schrödinger equations. Zbl 1259.65135
Liao, Honglin; Sun, Zhizhong; Shi, Hansheng; Wang, Tingchun
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
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
2012
A compact finite difference scheme for the fractional sub-diffusion equations. Zbl 1211.65112
Gao, Guanghua; Sun, Zhizhong
2011
Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation. Zbl 1242.65174
Zhang, Ya-Nan; Sun, Zhi-Zhong
2011
Error estimates of Crank-Nicolson-type difference schemes for the subdiffusion equation. Zbl 1251.65132
Zhang, Yanan; Sun, Zhizhong; Wu, Hongwei
2011
A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions. Zbl 1227.65075
Zhao, Xuan; Sun, Zhi-Zhong
2011
Maximum norm error estimates of efficient difference schemes for second-order wave equations. Zbl 1227.65082
Liao, Honglin; Sun, Zhizhong
2011
Analysis of high-order absorbing boundary conditions for the Schrödinger equation. Zbl 1388.65070
Zhang, Jiwei; Sun, Zhizhong; Wu, Xiaonan; Wang, Desheng
2011
A compact difference scheme for the fractional diffusion-wave equation. Zbl 1201.65154
Du, R.; Cao, W. R.; Sun, Z. Z.
2010
Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations. Zbl 1196.65154
Liao, Honglin; Sun, Zhizhong
2010
Error estimate of fourth-order compact scheme for linear Schrödinger equations. Zbl 1208.65130
Liao, Honglin; Sun, Zhizhong; Shi, Hansheng
2010
On the $$L_\infty$$ convergence of a difference scheme for coupled nonlinear Schrödinger equations. Zbl 1198.65173
Sun, Zhi-Zhong; Zhao, Dan-Dan
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
2010
A Crank-Nicolson scheme for a class of delay nonlinear parabolic differential equations. Zbl 1240.65266
Zhang, Zaibin; Sun, Zhizhong
2010
Maximum norm error analysis of explicit schemes for two-dimensional nonlinear Schrödinger equations. Zbl 1488.65255
Liao, Honglin; Sun, Zhizhong; Shi, Hansheng
2010
Compact difference schemes for heat equation with Neumann boundary conditions. Zbl 1181.65115
Sun, Zhi-Zhong
2009
Corrected explicit-implicit domain decomposition algorithms for two-dimensional semilinear parabolic equations. Zbl 1183.65120
Liao, HongLin; Shi, HanSheng; Sun, ZhiZhong
2009
A linearized compact difference scheme for an one-dimensional parabolic inverse problem. Zbl 1168.65378
Ye, Chao-Rong; Sun, Zhi-Zhong
2009
A difference scheme for Burgers equation in an unbounded domain. Zbl 1214.65047
Sun, Zhi-Zhong; Wu, Xiao-Nan
2009
A second-order accurate difference scheme for the two-dimensional Burgers’ system. Zbl 1153.76048
Xu, Peipei; Sun, Zhizhong
2009
A second-order linearized difference scheme for a strongly coupled reaction-diffusion system. Zbl 1185.65142
Cao, Hai-Yan; Sun, Zhi-Zhong
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
2008
A finite difference scheme for solving the Timoshenko beam equations with boundary feedback. Zbl 1107.74049
Li, Fule; Sun, Zhizhong
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
2007
...and 23 more Documents
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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 ...and 1,674 more Authors
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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 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 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 ...and 77 more Serials
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### Cited in 38 Fields

 1,648 Numerical analysis (65-XX) 1,276 Partial differential equations (35-XX) 335 Real functions (26-XX) 147 Fluid mechanics (76-XX) 120 Ordinary differential equations (34-XX) 74 Integral equations (45-XX) 52 Statistical mechanics, structure of matter (82-XX) 38 Mechanics of deformable solids (74-XX) 29 Classical thermodynamics, heat transfer (80-XX) 27 Special functions (33-XX) 26 Approximations and expansions (41-XX) 25 Probability theory and stochastic processes (60-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 22 Biology and other natural sciences (92-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 18 Integral transforms, operational calculus (44-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 17 Systems theory; control (93-XX) 16 Quantum theory (81-XX) 14 Difference and functional equations (39-XX) 14 Operator theory (47-XX) 13 Optics, electromagnetic theory (78-XX) 12 Dynamical systems and ergodic theory (37-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 7 Information and communication theory, circuits (94-XX) 5 Functional analysis (46-XX) 5 Computer science (68-XX) 4 Number theory (11-XX) 4 Statistics (62-XX) 4 Mechanics of particles and systems (70-XX) 4 Geophysics (86-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mathematics education (97-XX)