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Sun Zhi-zhong
Professor
Mathematics
Computational Mathematics Department
Tel:
Email:
zzsun@seu.edu.cn
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Post:
211189
  • Journal Paper List


    2020


    142. Jin-ye Shen Changpin LiZhi-zhong Sun An H2N2 interpolation for Caputo derivative with order in (1, 2) and its application to time fractional wave equation in more than one space dimensionJournal of Scientific Computing2020, DOI: 10.1007/s10915-020-01219-8


    141.  Hong Sun,  Zhi-zhong Sun, A fast temporal second-order compact ADI difference scheme for the 2D multi-term fractional wave equation,  Numerical Algorithms, 2020, DOI: 10.1007/s11075-020-00910-z



    140.  Ruilian Du, Anatoly A. Alikhanov, Zhi-ZhongSun, Temporal second order difference schemes for the multi-dimensional variable-order time fractional sub-diffusion equations, Computers & Mathematics with Applications,  2020,79( 1015) : 2952-2972



    139.Z.-Z. Sun, C. Ji and R. Du, A new analytical technique of the L-type difference schemes for time fractional mixed sub-diffusion and diffusion-wave equations,  Applied Mathematics Letters, 2020, 102: 106115


      

    138. Jin-ye Shen Xu-ping WangZhi-zhong Sun The conservation and convergence  of two finite difference schemes for Korteweg-de Vries equations with the initial and boundary value conditionsNumer. Math. Theor. Meth. Appl.,  202013(1) 253-280


    137.  Jin-Ye Shen Zhi-Zhong Sun Two-level linearized and local uncoupled difference schemes for the two-component evolutionary Korteweg-de Vries systemNumerical Methods for Partial Differential Equations2020,36:   5–28. 

    2019

    136.Cui-cui JiWeizhong DaiZhi-zhong SunNumerical schemes for solving the time-fractional dual-phase-lagging heat conduction model in a double-layered nanoscale thin filmJournal of Scientific Computing ,2019,  81: 1767–1800


    135. Xuping Wang,  Zhizhong Sun, A Compact Difference Scheme for Multi-Point Boundary Value Problems of Heat Equations, Communications on Applied Mathematics and Computation

    2019, 1(4):545–563


    134. Jinye Shen,  Zhi-zhong Sun,  Wanrong CaoA finite difference scheme on graded meshes for time-fractional nonlinear Korteweg-de Vries equationApplied Mathematics and Computation 2019, 361:752–765


    133.  Hong Sun, Zhi-zhong Sun and  Rui DuA linearized second-order difference scheme for the nonlinear time-fractional fourth-order reaction-diffusion equationNumer. Math. Theor. Meth. Appl.  ,2019,12: 1168-1190.


    132.  Hong Sun, Xuan Zhao and Zhi-zhong Sun, The temporal second order difference schemes based onthe interpolation approximationfor the time  multi-term fractional wave equation, J Sci Comput,2019, 78:467–498 


    2018


    131.  Jin-ye Shen, Zhi-zhong Sun, Fast finite difference schemes for the time-fractional diffusion equation with a weak singularityat the initial time, Asian Journal of Applied Mathematics,East Asian Journal on Applied Mathematics,2018, 8(4): 834-858


    130.Zhi-Zhong Sun, Jiwei Zhang, Zhimin Zhang, The optimal error estimate for the numerical computation of the time fractional Schrodinger equation on an unbounded domain, Asian Journal on Applied Mathematics,  2018,   8(4):  634-655


    129.  Cui-cui JiWeizhong DaiZhi-zhong SunNumerical method for molving the time-fractional dual-phase-lagging heat conduction equation with the temperature-tump boundary conditionJ Sci Comput,2018, 75: 1307–1336


    128.  Cui-cui Ji; Rui Du;  Zhizhong SunStability and convergence of difference schemes for multi-dimensional parabolic equations with variable coefficients and mixed derivatives International Journal of Computer Mathematics,  2018,  95(1): 255-277


    127. Yun ZhuZhi-zhong SunA high order difference scheme for the space and time fractional Bloch-Torrey equation Comput. Methods Appl. Math.,  2018, 18(1): 147-164

    2017

    126. Y. Yan, Z. Z. Sun,  J. W.  Zhang,  Fast evaluation of the Caputo fractional derivative and its applications to fractional diffusion equations: A second-order Scheme. Communications in Computational Physics, 2017, 22(4), 1028-1048.


    125. Cui-cui Ji,  Zhi-zhong Sun, An unconditionally stable and  high-order convergent difference scheme for Stokes' first problem for a heated generalized second grade fluid with fractional derivative, NumericalMathematics: Theory, Methods and  Applications. 2017,  11(3 597-614


    124.Guanghua Gao,  Anatoly A. Alikhanov,  Zhi-zhong Sun, The temporal second order difference schemes based on the interpolation approximation for solving the time multi-term and distributed-order fractional sub-diffusion equations,Journal of Scientific Computing,2017,73(1), 93-121


    123. Zhaopeng Hao, G. Lin, Zhi-Zhong Sun,A high-order difference scheme for the fractional sub-diffusion equationInternational Journal of Computer Mathematics, 2017, 90(2): 405-426


    122.Guang-hua Gao, Zhi-zhong Sun, Two difference schemes for solving the one-dimensionaltime distributed-order fractional wave equations,Numer Algor, 2017,  74: 675-697


    121. Hong Sun, Zhi-zhong Sun, Weizhong DaiA second-order finite difference scheme for solving the dual-phase-lagging equation in a double-layered nanoscale thin film, Numer Methods Partial Differential Eq,2017,33: 142–173 


    120. Zhao-peng Hao, Zhi-zhong Sun, A linearized high-order difference schemefor the fractional GinzburgLandau equation, Numer Methods Partial Differential Eq,2017, 33: 105–124


    2016

    119. Guang-hua GaoZhi-zhong Sun  Two alternating direction implicit difference schemes

    for solving the two-dimensional time distributed-order wave equationsJ Sci Comput,  69(2): 

    506-531



    118. Du, Rui; Hao, Zhao-peng; Sun, Zhi-zhong, Lubich second-order methods for distributed-order time-fractional differential equations with smooth solutions. East Asian J. Appl. Math., 6(2): 131–151. 


    117.  Sun, Hong; Sun, Zhi-Zhong; Gao, Guang-Hua, Some temporal second order difference schemes for fractional wave equations. Numer. Methods Partial Differential Equations 32?(2016),?no. 3, 970–1001. 


    116.  Sun, Hong; Sun, Zhi-zhong; Gao, Guang-hua, Some high order difference schemes for the space and time fractional Bloch-Torrey equations. Appl. Math. Comput. 281?(2016),?356–380. 


    115. Ren, Jincheng; Sun, Zhi-zhong; Dai, Weizhong, New approximations for solving the Caputo-type fractional partial differential equations. Appl. Math. Model. 40?(2016),?no. 4, 2625–2636. 


    114. Gao, Guang-hua; Sun, Zhi-zhong, Two alternating direction implicit difference schemes for two-dimensional distributed-order fractional diffusion equations. J. Sci. Comput. 66?(2016),?no. 3, 1281–1312. 


    113. Ji, Cui-cui; Sun, Zhi-zhong; Hao, Zhao-peng, Numerical algorithms with high spatial accuracy for the fourth-order fractional sub-diffusion equations with the first Dirichlet boundary conditions. J. Sci. Comput. 66?(2016),?no. 3,1148–1174. 



    112.  Gao, Guang-hua; Sun, Zhi-zhong, Two unconditionally stable and convergent difference schemes with the extrapolation method for the one-dimensional distributed-order differential equations. Numer. Methods Partial Differential Equations 32?(2016),?no. 2, 591–615. 


    111. Hao, Zhaopeng; Fan, Kai; Cao, Wanrong; Sun, Zhizhong, A finite difference scheme for semilinear space-fractional diffusion equations with time delay. Appl. Math. Comput. 275?(2016),?238–254. 


    2015


    110.  Cui, Jin; Sun, Zhi Zhong; Wu, Hong Wei, A highly accurate and conservative difference scheme for the solution of a nonlinear Schr?dinger equation. (Chinese) Numer. Math. J. Chinese Univ. 37?(2015),?no. 1, 31–52. 


    109.  Cao, HaiYan; Sun, ZhiZhong, Two finite difference schemes for the phase field crystal equation. Sci. China Math. 58?(2015),?no. 11, 2435–2454. 


    108.  Du, Rui; Sun, Zhi-zhong; Gao, Guang-hua, A second-order linearized three-level backward Euler scheme for a class of nonlinear expitaxial growth model. Int. J. Comput. Math. 92?(2015),?no. 11, 2290–2309.


    107.   Sun, Hong; Du, Rui; Dai, Weizhong; Sun, Zhi-zhong, A high order accurate numerical method for solving two-dimensional dual-phase-lagging equation with temperature jump boundary condition in nanoheat conduction. Numer. Methods Partial Differential Equations 31?(2015),?no. 6, 1742–1768.


    106.Ji, Cui-cui; Sun, Zhi-zhong The high-order compact numerical algorithms for the two-dimensional fractional sub-diffusion equation. Appl. Math. Comput. 269?(2015),?775–791.


    105.   Ren, Jincheng; Sun, Zhi-Zhong, Efficient numerical solution of the multi-term time fractional diffusion-wave equation. East Asian J. Appl. Math. 5?(2015),?no. 1, 1–28.


    104.   Gao, Guang-hua; Sun, Hai-wei; Sun, Zhi-zhong, Some high-order difference schemes for the distributed-order differential equations. J. Comput. Phys. 298?(2015),?337–359. 


    103.   Ji, Cui-cui; Sun, Zhi-zhong A high-order compact finite difference scheme for the fractional sub-diffusion equation. J. Sci. Comput. 64?(2015),?no. 3, 959–985. 


    102.  Zhao, Xuan; Sun, Zhi-zhong; Karniadakis, George Em, Second-order approximations for variable order fractional derivatives: algorithms and applications. J. Comput. Phys. 293?(2015),?184–200.


    101.   Hao, Zhao-Peng; Sun, Zhi-Zhong; Cao, Wan-Rong, A three-level linearized compact difference scheme for the Ginzburg-Landau equation. Numer. Methods Partial Differential Equations 31?(2015),?no. 3, 876–899. 


    100.   Gao, Guang-hua; Sun, Zhi-zhong Two, alternating direction implicit difference schemes with the extrapolation method for the two-dimensional distributed-order differential equations. Comput. Math. Appl. 69?(2015),?no. 9,926–948. 


    99.  Sun, Hong; Sun, Zhi-zhong, On two linearized difference schemes for Burgers' equation. Int. J. Comput. Math. 92?(2015),?no. 6, 1160–1179. 


    98.   Ren, Jincheng; Sun, Zhi-zhong, Maximum norm error analysis of difference schemes for fractional diffusion equations. Appl. Math. Comput. 256?(2015),?299–314. 


    97. Zhao, Xuan; Sun, Zhi-Zhong, Compact Crank-Nicolson schemes for a class of fractional Cattaneo equation in inhomogeneous medium. J. Sci. Comput. 62?(2015),?no. 3, 747–771. 


    96.  Hao, Zhao-peng; Sun, Zhi-zhong; Cao, Wan-rong, A fourth-order approximation of fractional derivatives with its applications. J. Comput. Phys. 281?(2015),?787–805. 


    95.  Qiao, Zhonghua; Sun, Zhi-Zhong; Zhang, Zhengru, Stability and convergence of second-order schemes for the nonlinear epitaxial growth model without slope selection. Math. Comp. 84?(2015),?no. 292, 653–674. 


    94.   Gao, Guang-Hua; Sun, Hai-Wei; Sun, Zhi-Zhong, Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence. J. Comput. Phys. 280?(2015),?510–528. 



    2014


    93.   Zhao, Xuan; Sun, Zhi-zhong; Hao, Zhao-peng, A fourth-order compact ADI scheme for two-dimensional nonlinear space fractional Schr?dinger equation. SIAM J. Sci. Comput. 36?(2014),?no. 6, A2865–A2886. 


    92.  Ren, Jincheng; Sun, Zhi-zhong, Efficient and stable numerical methods for multi-term time fractional sub-diffusion equations. East Asian J. Appl. Math. 4?(2014),?no. 3, 242–266. 


    91.   Cao, Hai-Yan; Sun, Zhi-Zhong; Zhao, Xuan, A second-order three-level difference scheme for a magneto-thermo-elasticity model. Adv. Appl. Math. Mech. 6?(2014),?no. 3, 281–298. 


    90.    Sun, Zhi-Zhong; Dai, Weizhong, A new higher-order accurate numerical method for solving heat conduction in a double-layered film with the Neumann boundary condition. Numer. Methods Partial Differential Equations 30(2014),?no. 4, 1291–1314. 


    89.   Zhang, Ya-nan; Sun, Zhi-zhong; Liao, Hong-lin, Finite difference methods for the time fractional diffusion equation on non-uniform meshes. J. Comput. Phys. 265?(2014),?195–210. 


    88.   Cao, Hai-Yan; Sun, Zhi-Zhong; Gao, Guang-Hua, A three-level linearized finite difference scheme for the Camassa-Holm equation. Numer. Methods Partial Differential Equations 30?(2014),?no. 2, 451–471.


    87.   Zhang, Ya-nan; Sun, Zhi-zhong, Error analysis of a compact ADI scheme for the 2D fractional subdiffusion equation. J. Sci. Comput. 59?(2014),?no. 1, 104–128. 


    86.   Gao, Guang-hua; Sun, Zhi-zhong; Zhang, Hong-wei, A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications. J. Comput. Phys. 259?(2014),?33–50. 


    85.  Ren, Jincheng; Sun, Zhi-zhong; Cao, Hai-yan, A numerical method for solving the nonlinear Fermi-Pasta-Ulam problem. Numer. Methods Partial Differential Equations 30?(2014),?no. 1, 187–207. 



    2013


    84.   Liao, Hong-Lin; Sun, Zhi-Zhong, A two-level compact ADI method for solving second-order wave equations. Int. J. Comput. Math. 90?(2013),?no. 7, 1471–1488.


    83.   Zhang, Ya-nan; Sun, Zhi-zhong; Wang, Ting-chun, Convergence analysis of a linearized Crank-Nicolson scheme for the two-dimensional complex Ginzburg-Landau equation. Numer. Methods Partial Differential Equations 29?(2013),no. 5, 1487–1503. 


    82.   Gao, Guang-Hua; Sun, Zhi-Zhong, Compact difference schemes for heat equation with Neumann boundary conditions (II). Numer. Methods Partial Differential Equations 29?(2013),?no. 5, 1459–1486.


    81.  Zhu, You-lan; Wu, Xiaonan; Chern, I-Liang; Sun, Zhi-zhong, Derivative securities and difference methods. Second edition. Springer Finance. Springer, New York, 2013. xxii+647 pp. ISBN: 978-1-4614-7305-3; 978-1-4614-7306-0 


    80.   Ren, Jincheng; Sun, Zhi-zhong, Numerical algorithm with high spatial accuracy for the fractional diffusion-wave equation with Neumann boundary conditions. J. Sci. Comput. 56?(2013),?no. 2, 381–408. 


    79.   Gao, Guang-hua; Sun, Zhi-zhong The finite difference approximation for a class of fractional sub-diffusion equations on a space unbounded domain. J. Comput. Phys. 236?(2013),?443–460. 


    78.  Sun, Zhi-zhong; Zhang, Zai-bin, A linearized compact difference scheme for a class of nonlinear delay partial differential equations. Appl. Math. Model. 37?(2013),?no. 3, 742–752. 


    77.  Ren, Jincheng; Sun, Zhi-zhong; Zhao, Xuan, Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions. J. Comput. Phys. 232?(2013),?456–467. 


    2012


    76.   Qiao, Zhonghua; Sun, Zhi-zhong; Zhang, Zhengru, The stability and convergence of two linearized finite difference schemes for the nonlinear epitaxial growth model. Numer. Methods Partial Differential Equations 28?(2012),no. 6, 1893–1915. 


    75.   Zhang, Ya-Nan; Sun, Zhi-Zhong; Zhao, Xuan, Compact alternating direction implicit scheme for the two-dimensional fractional diffusion-wave equation. SIAM J. Numer. Anal. 50?(2012),?no. 3, 1535–1555. 


    74.   Liao, Hong-Lin; Sun, Zhi-Zhong; Shi, Han-Sheng; Wang, Ting-Chun, Convergence of compact ADI method for solving linear Schr?dinger equations. Numer. Methods Partial Differential Equations 28?(2012),?no. 5, 1598–1619.

    73.   Gao, Guang-hua; Sun, Zhi-zhong; Zhang, Ya-nan, A finite difference scheme for fractional sub-diffusion equations on an unbounded domain using artificial boundary conditions. J. Comput. Phys. 231?(2012),?no. 7, 2865–2879.


    72.  Li, Juan; Sun, ZhiZhong; Zhao, Xuan, A three level linearized compact difference scheme for the Cahn-Hilliard equation. Sci. China Math. 55?(2012),?no. 4, 805–826. 


    71.  Sun, Weiwei; Sun, Zhi-zhong Finite difference methods for a nonlinear and strongly coupled heat and moisture transport system in textile materials. Numer. Math. 120?(2012),?no. 1, 153–187. 


    70. Sun, Zhi-zhong; Wu, Xiaonan; Zhang, Jiwei; Wang, Desheng, A linearized difference scheme for semilinear parabolic equations with nonlinear absorbing boundary conditions. Appl. Math. Comput. 218?(2012),?no. 9, 5187–5201. 


    69.   Gao, Guang-hua; Sun, Zhi-zhong, A finite difference approach for the initial-boundary value problem of the fractional Klein-Kramers equation in phase space. Cent. Eur. J. Math. 10?(2012),?no. 1, 101–115. 



    2011


    68.   Zhang, Ya-nan; Sun, Zhi-zhong, Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation. J. Comput. Phys. 230?(2011),?no. 24, 8713–8728. 


    67.  Zhang, Yu-lian; Sun, Zhi-zhong, A second-order linearized finite difference scheme for the generalized Fisher-Kolmogorov-Petrovskii-Piskunov equation. Int. J. Comput. Math. 88?(2011),?no. 16, 3394–3405. 


    66.  Zhang, Ya-Nan; Sun, Zhi-Zhong; Wu, Hong-Wei, Error estimates of Crank-Nicolson-type difference schemes for the subdiffusion equation. SIAM J. Numer. Anal. 49?(2011),?no. 6, 2302–2322. 


    65.   Zhang, Jiwei; Sun, Zhizhong; Wu, Xiaonan; Wang, Desheng, Analysis of high-order absorbing boundary conditions for the Schr?dinger equation. Commun. Comput. Phys. 10?(2011),?no. 3, 742–766. 


    64.   Zhao, Xuan; Sun, Zhi-zhong, A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions. J. Comput. Phys. 230?(2011),?no. 15, 6061–6074. 


    63.  Liao, Hong-lin; Sun, Zhi-zhong, Maximum norm error estimates of efficient difference schemes for second-order wave equations. J. Comput. Appl. Math. 235?(2011),?no. 8, 2217–2233. 


    62.  Gao, Guang-hua; Sun, Zhi-zhong, A compact finite difference scheme for the fractional sub-diffusion equations. J. Comput. Phys. 230?(2011),?no. 3, 586–595.


    2010


    61.  Wang, Jialing; Sun, Zhizhong, A second order difference scheme for one-dimensional Stefan problem.Nanjing Daxue Xuebao Shuxue Bannian Kan 27?(2010),?no. 2, 218–229. 


    60.   Zhang, Zai Bin; Sun, Zhi Zhong, A Crank-Nicolson scheme for a class of delay nonlinear parabolic differential equations. (Chinese) J. Numer. Methods Comput. Appl. 31?(2010),?no. 2, 131–140. 


    59. Du, R.; Cao, W. R.; Sun, Z. Z., A compact difference scheme for the fractional diffusion-wave equation.Appl. Math. Model. 34?(2010),?no. 10, 2998–3007.


    58.   Sun, Zhi-zhong; Zhao, Dan-dan, On the L∞ convergence of a difference scheme for coupled nonlinear Schr?dinger equations. Comput. Math. Appl. 59?(2010),?no. 10, 3286–3300.


    57.   Cao, Wan-Rong; Sun, Zhi-Zhong, Maximum norm error estimates of the Crank-Nicolson scheme for solving a linear moving boundary problem. J. Comput. Appl. Math. 234?(2010),?no. 8, 2578–2586.


    56.  Liao, Hong-Lin; Sun, Zhi-Zhong; Shi, Han-Sheng, Error estimate of fourth-order compact scheme for linear Schr?dinger equations. SIAM J. Numer. Anal. 47?(2010),?no. 6, 4381–4401.


    55.   Liao, Hong-Lin; Sun, Zhi-Zhong, Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations. Numer. Methods Partial Differential Equations 26?(2010),?no. 1, 37–60. 



    2009

    54.   Liao, Hong-Lin; Shi, Han-Sheng; Sun, Zhi-Zhong, Corrected explicit-implicit domain decomposition algorithms for two-dimensional semilinear parabolic equations. Sci. China Ser. A 52?(2009),?no. 11, 2362–2388. 


    53. Sun, Zhi-Zhong, Compact difference schemes for heat equation with Neumann boundary conditions.Numer. Methods Partial Differential Equations 25?(2009),?no. 6, 1320–1341. 


    52.   Sun, Zhi-Zhong; Wu, Xiao-Nan A difference scheme for Burgers equation in an unbounded domain.Appl. Math. Comput. 209?(2009),?no. 2, 285–304. 


    51.   Ye, Chao-rong; Sun, Zhi-zhong, A linearized compact difference scheme for an one-dimensional parabolic inverse problem. Appl. Math. Model. 33?(2009),?no. 3, 1521–1528. 


    50.   Xu, Pei-Pei; Sun, Zhi-Zhong A second-order accurate difference scheme for the two-dimensional Burgers' system. Numer. Methods Partial Differential Equations 25?(2009),?no. 1, 172–194. 


    2008


    49.   Wang, Jialing; Sun, Zhizhong, A finite difference method for the heat equation with a nonlinear boundary condition. Numer. Math. J. Chinese Univ. 30?(2008),?no. 4, 289–309. 


    48.  Han, Houde; Sun, Zhi-zhong; Wu, Xiao-nan, Convergence of a difference scheme for the heat equation in a long strip by artificial boundary conditions. Numer. Methods Partial Differential Equations 24?(2008),?no. 1, 272–295.


    47.   Cao, Hai-yan; Sun, Zhi-zhong, A second-order linearized difference scheme for a strongly coupled reaction-diffusion system. Numer. Methods Partial Differential Equations 24?(2008),?no. 1, 9–23. 


    2007


    46.  Sun, Zhi Zhong; Wu, Jing Yu, Numerical simulation of a class of coupled parabolic equations in geoscience. (Chinese) Acta Math. Appl. Sin. 30?(2007),?no. 6, 1097–1116.


    45.   Liu, Jianming; Sun, Zhizhong Finite difference method for reaction-diffusion equation with nonlocal boundary conditions. Numer. Math. J. Chin. Univ. (Engl. Ser.) 16?(2007),?no. 2, 97–111. 


    44.  Ye, Chao-rong; Sun, Zhi-zhong, On the stability and convergence of a difference scheme for an one-dimensional parabolic inverse problem. Appl. Math. Comput. 188?(2007),?no. 1, 214–225. 


    43.   Li, Wei-Dong; Sun, Zhi-Zhong; Zhao, Lei, An analysis for a high-order difference scheme for numerical solution to utt=A(x,t)uxx+F(x,t,u,ut,ux). Numer. Methods Partial Differential Equations 23?(2007),?no. 2, 484–498. 


    42.   Li, Fu-le; Sun, Zhi-zhong, A finite difference scheme for solving the Timoshenko beam equations with boundary feedback. J. Comput. Appl. Math. 200?(2007),?no. 2, 606–627. 


    41.  Sun, Zhi-zhong; Zhao, Lei; Li, Fu-Le, A difference scheme for a parabolic system modelling the thermoelastic contacts of two rods. Numer. Methods Partial Differential Equations 23?(2007),?no. 1, 1–37. 



    2006


    40.   Jiang, Mingjie; Sun, Zhizhong, Second-order difference scheme for a nonlinear model of wood drying process. J. Southeast Univ. (English Ed.) 22?(2006),?no. 4, 582–588. 


    39.  Sun, Zhi-zhong, The stability and convergence of an explicit difference scheme for the Schr?dinger equation on an infinite domain by using artificial boundary conditions. J. Comput. Phys. 219?(2006),?no. 2, 879–898. 


    38.   Li, Xue Ling; Sun, Zhi Zhong, A compact alternate direct implicit difference method for reaction-diffusion equations with variable coefficients. (Chinese) Numer. Math. J. Chinese Univ. 28?(2006),?no. 1, 83–95. 


    37.   Li, Wei-Dong; Sun, Zhi-Zhong, An analysis for a high-order difference scheme for numerical solution to uxx=F(x,t,u,ut,ux). Numer. Methods Partial Differential Equations 22?(2006),?no. 4, 897–919. 


    36.   Zhao, Lei; Sun, Zhi-zhong; Liu, Jian-ming Numerical solution to a one-dimensional thermoplastic problem with unilateral constraint. Numer. Methods Partial Differential Equations 22?(2006),?no. 3, 744–760. 


    35.  Sun, Zhi-zhong; Wu, Xiaonan, The stability and convergence of a difference scheme for the Schr?dinger equation on an infinite domain by using artificial boundary conditions. J. Comput. Phys. 214?(2006),?no. 1, 209–223.


    34.   Sun, Zhi-zhong; Wu, Xiaonan, A fully discrete difference scheme for a diffusion-wave system. Appl. Numer. Math. 56?(2006),?no. 2, 193–209.


    2005


    33.   Sun, Zhi Zhong; Li, Xue Ling, A compact alternating direction implicit difference method for reaction diffusion equations. (Chinese) Math. Numer. Sin. 27?(2005),?no. 2, 209–224. 


    2004


    32.   Wu, Xiaonan; Sun, Zhi-Zhong, Convergence of difference scheme for heat equation in unbounded domains using artificial boundary conditions. Appl. Numer. Math. 50?(2004),?no. 2, 261–277. 


    31. Sun, Zhi-zhong; Zhu, You-lan, A second order accurate difference scheme for the heat equation with concentrated capacity. Numer. Math. 97?(2004),?no. 2, 379–395. 


    30.   Zhang, Ling-yun; Sun, Zhi-zhong, A second-order linearized difference scheme on nonuniform meshes for nonlinear parabolic systems with Neumann boundary value conditions. Numer. Methods Partial Differential Equations 20(2004),?no. 2, 230–247.


    2003


    29.   Sun, Zhi-zhong; Shen, Long-Jun, Long time asymptotic behavior of solution of implicit difference scheme for a semi-linear parabolic equation. J. Comput. Math. 21?(2003),?no. 5, 671–680. 


    28.   Zhang, Ling-Yun; Sun, Zhi-Zhong, A second-order linearized difference scheme on nonuniform meshes for nonlinear parabolic systems with Dirichlet boundary value conditions. Numer. Methods Partial Differential Equations 19(2003),?no. 5, 638–652. 


    27. Pan, Zhu Shan; Sun, Zhi Zhong, A second order difference scheme for a basic semiconductor equation with heat conduction. (Chinese) Numer. Math. J. Chinese Univ. 25?(2003),?no. 1, 60–73. 


    2001


    26.   Sun, Zhi-Zhong, A high-order difference scheme for a nonlocal boundary-value problem for the heat equation. Comput. Methods Appl. Math. 1?(2001),?no. 4, 398–414. 


    25.   Sun, Zhi-Zhong, An unconditionally stable and O(τ2+h4) order L∞ convergent difference scheme for linear parabolic equations with variable coefficients. Numer. Methods Partial Differential Equations 17?(2001),?no. 6, 619–631. 


    24.  Wan, Zheng-su; Sun, Zhi-zhong, On the L∞ convergence and the extrapolation method of a difference scheme for nonlocal parabolic equation with natural boundary conditions. J. Comput. Math. 19?(2001),?no. 5, 449–458.


    2000


    23.  Sun, Zhizhong, A note on finite difference method for generalized Zakharov equations. J. Southeast Univ. (English Ed.) 16?(2000),?no. 2, 84–86. 


    22.   Sun, Zhizhong; Yang, Mei; Shi, Peihu; Chen, Shaobing, On linearized finite difference simulation for the model of nuclear reactor dynamics. Numer. Math. J. Chinese Univ. (English Ser.) 9?(2000),?no. 2, 159–174. 


    1998


    21.  Chen, Shaobing; Sun, Zhizhong, A class of second-order characteristic difference schemes for a model of population dynamics. J. Southeast Univ. (English Ed.) 14?(1998),?no. 2, 133–137.


    20.   Sun, Zhi-Zhong; Zhu, Qi-Ding, On Tsertsvadze's difference scheme for the Kuramoto-Tsuzuki equation.J. Comput. Appl. Math. 98?(1998),?no. 2, 289–304. 


    1997


    19.  Sun, Zhi Zhong, A second-order difference scheme for a model of oil deposits. (Chinese) Acta Math. Appl. Sinica 20?(1997),?no. 4, 551–558. 


    18.   Sun, Zhizhong, On L∞ convergence of a linearized difference scheme for the Kuramoto-Tsuzuki equation. Nanjing Daxue Xuebao Shuxue Bannian Kan 14?(1997),?no. 1, 5–9. 


    1996


    17.   Sun, Zhizhong, On L∞ stability and convergence of fictitious domain method for the numerical solution to parabolic differential equation with derivative boundary conditions. J. Southeast Univ. (English Ed.) 12?(1996),?no. 2, 107–110.


    16.   Sun, Zhi Zhong, An unconditionally stable and second-order convergent difference scheme for the system of wave equations with heat conduction. (Chinese) Math. Numer. Sin. 18?(1996),?no. 2, 161–170. 


    15.  Sun, Zhi-Zhong, A second-order accurate finite difference scheme for a class of nonlocal parabolic equations with natural boundary conditions. J. Comput. Appl. Math. 76?(1996),?no. 1-2, 137–146. 


    14.   Sun, Zhi Zhong, A generalized box scheme for the numerical solution of the Kuramoto-Tsuzuki equation. (Chinese) J. Southeast Univ. 26?(1996),?no. 1, 87–92. 


    13.   Sun, Zhizhong, A second-order convergent difference scheme for the initial-boundary value problem of superthermal electron transport equation. Nanjing Daxue Xuebao Shuxue Bannian Kan 13?(1996),?no. 1, 14–22. 


    12.   Sun, Z. Z., A linearized difference scheme for the Kuramoto-Tsuzuki equation. J. Comput. Math. 14(1996),?no. 1, 1–7. 


    1995


    11.   Sun, Zhi Zhong, A second-order convergent difference scheme for the mixed initial-boundary value problems of a class of parabolic-elliptic coupled systems of equations. II. (Chinese) Math. Numer. Sinica 17?(1995),?no. 4,391–401.


    10.   Sun, Zhi Zhong, A second-order convergent difference scheme for the mixed initial-boundary value problems of a class of parabolic-elliptic coupled systems of equations. I. (Chinese) Math. Numer. Sinica 17?(1995),?no. 1, 1–12. 


    9.   Sun, Zhizhong, Modified Crank-Nicolson scheme for the initial-boundary value problem of superthermal electron transport equation. J. Southeast Univ. (English Ed.) 11?(1995),?no. 2, 83–87. 


    8.  Sun, Zhi Zhong, A second-order accurate linearized difference scheme for the two-dimensional Cahn-Hilliard equation. Math. Comp. 64?(1995),?no. 212, 1463–1471. 


    1994


    7.   Sun, Zhi-zhong, A new class of difference schemes for linear parabolic equations in 1-D. Chinese J. Numer. Math. Appl. 16?(1994),?no. 3, 1–20. 


    6.   Sun, Zhi-Zhong, A class of second-order accurate difference schemes for solving quasilinear parabolic equations. (Chinese) Math. Numer. Sinica 16?(1994),?no. 4, 347–361. 


    5.   Sun, Zhi-Zhong, A new class of difference schemes for solving linear parabolic differential equations.(Chinese) Math. Numer. Sinica?16 (1994), no. 2, 115--130; translation in Chinese J. Numer. Math. Appl. 16 (1994), no. 3, 1–20 


    4.   Sun, Zhi-Zhong, On numerical solution to an elliptic-parabolic coupled system arising from the fluid-solute-heat flow through saturated porous media. Nanjing Daxue Xuebao Shuxue Bannian Kan 11?(1994),?no. 2, 126–135. 


    1993


    3.   Sun, Zhi-Zhong, On fictitious domain method for the numerical solution to heat conduction equation with derivative boundary conditions. J. Southeast Univ. (English Ed.) 9?(1993),?no. 2, 38–44.


    2.   Sun, Zhi-Zhong, A reduction of order method for numerically solving elliptic differential equations.(Chinese) J. Southeast Univ. 23?(1993),?no. 6, 8–16.


    1989

    1.   Wu, Chi-kuang; Su, Yu-Cheng; Sun, Zhi-Zhong, Asymptotic method for singular perturbation problem of ordinary difference equations. Appl. Math. Mech. (English Ed.) 10 (1989), no. 3, 221–230; translated from Appl. Math. Mech.10 (1989), no. 3, 211--220(Chinese)



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