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2020 – today
- 2024
[j66]Rui-lian Du, Changpin Li
, Zhi-Zhong Sun:
H1-analysis of H3N3-2σ-based difference method for fractional hyperbolic equations. Comput. Appl. Math. 43(1): 69 (2024)- [j65]Ruilian Du, Changpin Li, Fang Su, Zhi-Zhong Sun:
H3N3-2σ-based difference schemes for time multi-term fractional diffusion-wave equation. Comput. Appl. Math. 43(8): 416 (2024) - 2023
- [i2]Rui-lian Du, Changpin Li, Zhi-Zhong Sun:
H1-analysis of H3N3-2σ-based difference method for fractional hyperbolic equations. CoRR abs/2312.12846 (2023) - 2022
- [j64]Qifeng Zhang, Jiyuan Zhang, Zhi-Zhong Sun:
Optimal convergence rate of the explicit Euler method for convection-diffusion equations. Appl. Math. Lett. 131: 108048 (2022) - [j63]Qifeng Zhang, Yifan Qin, Zhi-Zhong Sun:
Linearly compact scheme for 2D Sobolev equation with Burgers' type nonlinearity. Numer. Algorithms 91(3): 1081-1114 (2022) - [j62]Ruilian Du, Zhi-Zhong Sun, Hong Wang:
Temporal Second-Order Finite Difference Schemes for Variable-Order Time-Fractional Wave Equations. SIAM J. Numer. Anal. 60(1): 104-132 (2022) - [i1]Qifeng Zhang, Jiyuan Zhang, Zhi-Zhong Sun:
Optimal convergence rate of the explicit Euler method for convection-diffusion equations II: high dimensional cases. CoRR abs/2205.05864 (2022) - 2021
- [j61]Xuping Wang, Qifeng Zhang, Zhi-Zhong Sun:
The pointwise error estimates of two energy-preserving fourth-order compact schemes for viscous Burgers' equation. Adv. Comput. Math. 47(2): 23 (2021) - [j60]Qifeng Zhang, Jan S. Hesthaven, Zhi-Zhong Sun, Yunzhu Ren:
Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation. Adv. Comput. Math. 47(3): 35 (2021) - [j59]Qifeng Zhang, Yifan Qin, Xuping Wang, Zhi-Zhong Sun:
The study of exact and numerical solutions of the generalized viscous Burgers' equation. Appl. Math. Lett. 112: 106719 (2021) - [j58]Jinye Shen, Martin Stynes, Zhi-Zhong Sun:
Two Finite Difference Schemes for Multi-Dimensional Fractional Wave Equations with Weakly Singular Solutions. Comput. Methods Appl. Math. 21(4): 913-928 (2021) - [j57]Hong Sun, Zhi-Zhong Sun:
A fast temporal second-order compact ADI difference scheme for the 2D multi-term fractional wave equation. Numer. Algorithms 86(2): 761-797 (2021) - [j56]Ruilian Du, Zhi-Zhong Sun:
Temporal second-order difference methods for solving multi-term time fractional mixed diffusion and wave equations. Numer. Algorithms 88(1): 191-226 (2021) - 2020
- [j55]Zhi-Zhong Sun, Cui-Cui Ji, Ruilian Du:
A new analytical technique of the L-type difference schemes for time fractional mixed sub-diffusion and diffusion-wave equations. Appl. Math. Lett. 102: 106115 (2020) - [j54]Ruilian Du, Anatoly A. Alikhanov, Zhi-Zhong Sun:
Temporal second order difference schemes for the multi-dimensional variable-order time fractional sub-diffusion equations. Comput. Math. Appl. 79(10): 2952-2972 (2020) - [j53]Jinye Shen, Changpin Li, Zhi-Zhong Sun:
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. J. Sci. Comput. 83(2): 38 (2020)
2010 – 2019
- 2019
- [j52]Jinye Shen, Zhi-Zhong Sun, Wanrong Cao:
A finite difference scheme on graded meshes for time-fractional nonlinear Korteweg-de Vries equation. Appl. Math. Comput. 361: 752-765 (2019) - [j51]Hong Sun, Xuan Zhao, Zhi-Zhong Sun:
The Temporal Second Order Difference Schemes Based on the Interpolation Approximation for the Time Multi-term Fractional Wave Equation. J. Sci. Comput. 78(1): 467-498 (2019) - [j50]Cui-Cui Ji, Weizhong Dai, Zhi-Zhong Sun:
Numerical Schemes for Solving the Time-Fractional Dual-Phase-Lagging Heat Conduction Model in a Double-Layered Nanoscale Thin Film. J. Sci. Comput. 81(3): 1767-1800 (2019) - 2018
- [j49]Yun Zhu, Zhi-Zhong Sun:
A High-Order Difference Scheme for the Space and Time Fractional Bloch-Torrey Equation. Comput. Methods Appl. Math. 18(1): 147-164 (2018) - [j48]Cui-Cui Ji, Rui Du, Zhi-Zhong Sun:
Stability and convergence of difference schemes for multi-dimensional parabolic equations with variable coefficients and mixed derivatives. Int. J. Comput. Math. 95(1): 255-277 (2018) - [j47]Cui-Cui Ji, Weizhong Dai, Zhi-Zhong Sun:
Numerical Method for Solving the Time-Fractional Dual-Phase-Lagging Heat Conduction Equation with the Temperature-Jump Boundary Condition. J. Sci. Comput. 75(3): 1307-1336 (2018) - 2017
- [j46]Zhao-peng Hao, Guang Lin, Zhi-Zhong Sun:
A high-order difference scheme for the fractional sub-diffusion equation. Int. J. Comput. Math. 94(2): 405-426 (2017) - [j45]Guang-hua 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. J. Sci. Comput. 73(1): 93-121 (2017) - [j44]Guang-hua Gao, Zhi-Zhong Sun:
Two difference schemes for solving the one-dimensional time distributed-order fractional wave equations. Numer. Algorithms 74(3): 675-697 (2017) - 2016
- [j43]Zhaopeng Hao, Kai Fan, Wanrong Cao, Zhi-Zhong Sun:
A finite difference scheme for semilinear space-fractional diffusion equations with time delay. Appl. Math. Comput. 275: 238-254 (2016) - [j42]Hong Sun, Zhi-Zhong Sun, Guang-hua Gao:
Some high order difference schemes for the space and time fractional Bloch-Torrey equations. Appl. Math. Comput. 281: 356-380 (2016) - [j41]Cui-Cui Ji, Zhi-Zhong Sun, Zhao-peng Hao:
Numerical Algorithms with High Spatial Accuracy for the Fourth-Order Fractional Sub-Diffusion Equations with the First Dirichlet Boundary Conditions. J. Sci. Comput. 66(3): 1148-1174 (2016) - [j40]Guang-hua Gao, Zhi-Zhong Sun:
Two Alternating Direction Implicit Difference Schemes for Two-Dimensional Distributed-Order Fractional Diffusion Equations. J. Sci. Comput. 66(3): 1281-1312 (2016) - [j39]Guang-hua Gao, Zhi-Zhong Sun:
Two Alternating Direction Implicit Difference Schemes for Solving the Two-Dimensional Time Distributed-Order Wave Equations. J. Sci. Comput. 69(2): 506-531 (2016) - 2015
- [j38]Jincheng Ren, Zhi-Zhong Sun:
Maximum norm error analysis of difference schemes for fractional diffusion equations. Appl. Math. Comput. 256: 299-314 (2015) - [j37]Cui-Cui Ji, Zhi-Zhong Sun:
The high-order compact numerical algorithms for the two-dimensional fractional sub-diffusion equation. Appl. Math. Comput. 269: 775-791 (2015) - [j36]Guang-hua Gao, Zhi-Zhong Sun:
Two alternating direction implicit difference schemes with the extrapolation method for the two-dimensional distributed-order differential equations. Comput. Math. Appl. 69(9): 926-948 (2015) - [j35]Hong Sun, Zhi-Zhong Sun:
On two linearized difference schemes for Burgers' equation. Int. J. Comput. Math. 92(6): 1160-1179 (2015) - [j34]Rui Du, Zhi-Zhong Sun, Guang-hua Gao:
A second-order linearized three-level backward Euler scheme for a class of nonlinear expitaxial growth model. Int. J. Comput. Math. 92(11): 2290-2309 (2015) - [j33]Guang-hua Gao, Hai-Wei Sun, Zhi-Zhong Sun:
Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence. J. Comput. Phys. 280: 510-528 (2015) - [j32]Zhao-peng Hao, Zhi-Zhong Sun, Wan-Rong Cao:
A fourth-order approximation of fractional derivatives with its applications. J. Comput. Phys. 281: 787-805 (2015) - [j31]Xuan Zhao, Zhi-Zhong Sun, George E. Karniadakis:
Second-order approximations for variable order fractional derivatives: Algorithms and applications. J. Comput. Phys. 293: 184-200 (2015) - [j30]Guang-hua Gao, Hai-Wei Sun, Zhi-Zhong Sun:
Some high-order difference schemes for the distributed-order differential equations. J. Comput. Phys. 298: 337-359 (2015) - [j29]Xuan Zhao, Zhi-Zhong Sun:
Compact Crank-Nicolson Schemes for a Class of Fractional Cattaneo Equation in Inhomogeneous Medium. J. Sci. Comput. 62(3): 747-771 (2015) - [j28]Cui-Cui Ji, Zhi-Zhong Sun:
A High-Order Compact Finite Difference Scheme for the Fractional Sub-diffusion Equation. J. Sci. Comput. 64(3): 959-985 (2015) - [j27]Zhonghua Qiao, Zhi-Zhong Sun, Zhengru Zhang:
Stability and convergence of second-order schemes for the nonlinear epitaxial growth model without slope selection. Math. Comput. 84(292): 653-674 (2015) - 2014
- [j26]Guang-hua Gao, Zhi-Zhong Sun, Hongwei Zhang:
A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications. J. Comput. Phys. 259: 33-50 (2014) - [j25]Ya-nan Zhang, Zhi-Zhong Sun, Hong-Lin Liao:
Finite difference methods for the time fractional diffusion equation on non-uniform meshes. J. Comput. Phys. 265: 195-210 (2014) - [j24]Ya-nan Zhang, Zhi-Zhong Sun:
Error Analysis of a Compact ADI Scheme for the 2D Fractional Subdiffusion Equation. J. Sci. Comput. 59(1): 104-128 (2014) - [j23]Xuan Zhao, Zhi-Zhong Sun, Zhao-peng Hao:
A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation. SIAM J. Sci. Comput. 36(6) (2014) - 2013
- [j22]Hong-Lin Liao, Zhi-Zhong Sun:
A two-level compact ADI method for solving second-order wave equations. Int. J. Comput. Math. 90(7): 1471-1488 (2013) - [j21]Jincheng Ren, Zhi-Zhong Sun, Xuan Zhao:
Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions. J. Comput. Phys. 232(1): 456-467 (2013) - [j20]Guang-hua Gao, Zhi-Zhong Sun:
The finite difference approximation for a class of fractional sub-diffusion equations on a space unbounded domain. J. Comput. Phys. 236: 443-460 (2013) - [j19]Jincheng Ren, Zhi-Zhong Sun:
Numerical Algorithm With High Spatial Accuracy for the Fractional Diffusion-Wave Equation With Neumann Boundary Conditions. J. Sci. Comput. 56(2): 381-408 (2013) - 2012
- [j18]Zhi-Zhong Sun, Xiaonan Wu, Jiwei Zhang, Desheng Wang:
A linearized difference scheme for semilinear parabolic equations with nonlinear absorbing boundary conditions. Appl. Math. Comput. 218(9): 5187-5201 (2012) - [j17]Guang-hua Gao, Zhi-Zhong Sun, Ya-nan Zhang:
A finite difference scheme for fractional sub-diffusion equations on an unbounded domain using artificial boundary conditions. J. Comput. Phys. 231(7): 2865-2879 (2012) - [j16]Weiwei Sun, Zhi-Zhong Sun:
Finite difference methods for a nonlinear and strongly coupled heat and moisture transport system in textile materials. Numerische Mathematik 120(1): 153-187 (2012) - [j15]Ya-nan Zhang, Zhi-Zhong Sun, Xuan Zhao:
Compact Alternating Direction Implicit Scheme for the Two-Dimensional Fractional Diffusion-Wave Equation. SIAM J. Numer. Anal. 50(3): 1535-1555 (2012) - 2011
- [j14]Yu-lian Zhang, Zhi-Zhong Sun:
A second-order linearized finite difference scheme for the generalized Fisher-Kolmogorov-Petrovskii-Piskunov equation. Int. J. Comput. Math. 88(16): 3394-3405 (2011) - [j13]Hong-Lin Liao, Zhi-Zhong Sun:
Maximum norm error estimates of efficient difference schemes for second-order wave equations. J. Comput. Appl. Math. 235(8): 2217-2233 (2011) - [j12]Guang-hua Gao, Zhi-Zhong Sun:
A compact finite difference scheme for the fractional sub-diffusion equations. J. Comput. Phys. 230(3): 586-595 (2011) - [j11]Xuan Zhao, Zhi-Zhong Sun:
A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions. J. Comput. Phys. 230(15): 6061-6074 (2011) - [j10]Ya-nan Zhang, Zhi-Zhong Sun:
Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation. J. Comput. Phys. 230(24): 8713-8728 (2011) - [j9]Ya-nan Zhang, Zhi-Zhong Sun, Hong-wei Wu:
Error Estimates of Crank-Nicolson-Type Difference Schemes for the Subdiffusion Equation. SIAM J. Numer. Anal. 49(6): 2302-2322 (2011) - 2010
- [j8]Zhi-Zhong Sun, Dan-dan Zhao:
On the L∞ convergence of a difference scheme for coupled nonlinear Schrödinger equations. Comput. Math. Appl. 59(10): 3286-3300 (2010) - [j7]Wan-Rong Cao, Zhi-Zhong Sun:
Maximum norm error estimates of the Crank-Nicolson scheme for solving a linear moving boundary problem. J. Comput. Appl. Math. 234(8): 2578-2586 (2010) - [j6]Hong-Lin Liao, Zhi-Zhong Sun, Han-Sheng Shi:
Error Estimate of Fourth-Order Compact Scheme for Linear Schrödinger Equations. SIAM J. Numer. Anal. 47(6): 4381-4401 (2010)
2000 – 2009
- 2009
- [j5]Zhi-Zhong Sun, Xiaonan Wu:
A difference scheme for Burgers equation in an unbounded domain. Appl. Math. Comput. 209(2): 285-304 (2009) - 2008
- [c1]Zhi-Zhong Sun:
A Second Order Accurate Difference Scheme for the Hyperbolic Problem with Concentrated Data. NAA 2008: 556-563 - 2007
- [j4]Chao-rong Ye, Zhi-Zhong Sun:
On the stability and convergence of a difference scheme for an one-dimensional parabolic inverse problem. Appl. Math. Comput. 188(1): 214-225 (2007) - 2006
- [j3]Zhi-Zhong Sun, Xiaonan Wu:
The stability and convergence of a difference scheme for the Schrödinger equation on an infinite domain by using artificial boundary conditions. J. Comput. Phys. 214(1): 209-223 (2006) - [j2]Zhi-Zhong Sun:
The stability and convergence of an explicit difference scheme for the Schrödinger equation on an infinite domain by using artificial boundary conditions. J. Comput. Phys. 219(2): 879-898 (2006) - 2004
- [j1]Zhi-Zhong Sun, You-lan Zhu:
A second order accurate difference scheme for the heat equation with concentrated capacity. Numerische Mathematik 97(2): 379-395 (2004)
Coauthor Index
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