专著：

Zhi-Zhong Sun, Qifeng Zhang, Guang-hua Gao, Finite difference methods for nonlinear evolution equations, De Gruyter 出版社;  科学出版社.

https://www.degruyter.com/document/isbn/9783110796018/html?lang=de

科研论文：

Q. Zhang*, L. Liu, Z. Zhang, Linearly implicit invariant-preserving decoupled difference scheme for the rotation-two-component Camassa-Holm system, SIAM Journal on Scientific Computing, 44(4) A2226--A2252 (2022)

X. Wang, Q. Zhang*, Z.-Z. Sun, The pointwise error estimates of two energy-preserving fourth-order compact schemes for viscous Burgers' equation, Advances in Computational Mathematics, 47, 23 (2021). https://doi.org/10.1007/s10444-021-09848-9

Q. 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, Advances in Computational Mathematics, (2021) DOI: 10.1007/s10444-021-09862-x

Q. Zhang*, Lingling Liu, Convergence and stability in maximum norms of linearized fourth-order conservative compact scheme for Benjamin-Bona-Mahony-Burgers' equation, Journal of Scientific Computing, (2021)  DOI: 10.1007/s10915-021-01474-3

Q. Zhang*, Tingyue Li, Asymptotic stability of compact and linear $\theta$-methods for space fractional delay generalized diffusion equation, Journal of Scientific Computing, 81(3) (2019) 2413--2446

L. Zhang, Q. Zhang, H.-W. Sun*, Exponential Runge-Kutta method for two-dimensional nonlinear fractional complex Ginzburg-Landau equations, Journal of Scientific Computing, 83(59) (2020)

J. Zhang, Y. Qin, Q.Zhang*, Maximum error estimates of two linearized compact difference schemes for two-dimensional nonlinear Sobolev equations,  Applied Numerical Mathematics, 184, 253--272 (2023)

Q. Zhang, T. Yang, Guang-hua Gao, The energy method for high-order invariants in shallow water wave equations, Applied Mathematics Letters, accepted in 2023.2, https://doi.org/10.1016/j.aml.2023.108626

Q. Zhang*, J. Zhang, Z Sun, Optimal convergence rate of the explicit Euler method for convection-diffusion equations, Applied Mathematics Letters, 131 (2022) 108048

Q. Zhang*, Y. Qin, Z Sun, Linearly compact scheme for 2D Sobolev equation with  Burgers' type nonlinearity, Numerical Algorithms, 91, 1081--1114 (2022)

Q. Zhang, C. Sun, Z. Fang*, H. Sun, Pointwise error estimate and stability analysis of fourth-order compact difference scheme for time-fractional Burgers' equation, Applied Mathematics and Computation, 418 (2022) 126824

Q. Zhang, L. Zhang, Hai-wei Sun*, A three-level finite difference method with preconditioning technique for two-dimensional nonlinear fractional complex Ginzburg-Landau equations, Journal of Computational and Applied Mathematics,  (2021) https://doi.org/10.1016/j.cam.2020.113355

Q. Zhang, Y. Qin, X. Wang, Z.-Z Sun*, The study of exact and numerical solutions of the generalized viscous Burgers' equation, Applied Mathematics Letters, (2021)

L. Zhang, Q. Zhang*, H.-W. Sun, A fast compact difference method for two-dimensional nonlinear space-fractional complex Ginzburg-Landau equations, Journal of Computational Mathematics, (2021), doi:10.4208/jcm.2005-m2020-0029

Tingyue Li, D. Xu*, Q. Zhang, High-order compact schemes for semilinear parabolic moving boundary problems, Applied Numerical Mathematics, 161 (2021) 452--468

K. Pan, J. Xia, D. He, Q. Zhang*, A three-level linearized difference scheme for nonlinear Schrodinger equation with absorbing boundary conditions, Applied Numerical Mathematics, 156 (2020) 32--49

Q. Zhang*, L. Liu, J. Zhang, The numerical analysis of two linearized difference schemes for the Benjamin-Bona-Mahony-Burgers equation, Numerical Methods for Partial Differential Equations, 36(6) (2020), 1790--1810

Q. Zhang, X. Wang, Z. Sun*, The pointwise estimates of a conservative difference scheme for Burgers' equation, Numerical Methods for Partial Differential Equations, 36(6) (2020), 1611--1628

Q. Zhang*, X. Lin, K. Pan, Y. Ren, Linearized ADI schemes for two-dimensional space-fractional nonlinear Ginzburg-Landau equation, Computers and Mathematics with Applications,  80 (2020) 1201--1220

Q. Zhang, L. Liu, C. Zhang*, Compact scheme for fractional diffusion-wave equation with spatial variable coefficient and delays, Applicable Analysis, (2020), https://doi.org/10.1080/00036811.2020.1789600

Q. Zhang, Yunzhu Ren, Xiaoman Lin, Yinghong Xu*, Uniform convergence of compact and BDF methods for the space fractional semilinear delay reaction-diffusion equations, Applied Mathematics and Computation, 358 (2019) 91--110

Manjun Ma*, Peng Xia, Q. Zhang and Matti Vuorinen, Global bifurcation and stability of steady states for a bacterial colony model with density-suppressed motility, Applied Mathematical Modelling, 88 (2020) 68--82

D. Xu*, F. Li, X. Li, N. Yao, Y. Xu, Q. Zhang, Mesoscale modeling of the crystallization parameters identification during the iron-based catalyst preparation process: the dilute concentration case, Applicable Analysis, (2019)

M. Mei, K. Zhang, Q. Zhang, Optimal convergence rates to oscillatory traveling waves for reaction-diffusion equations with time-delay. International Journal of Numerical Analysis and Modeling, 16(3) (2019) 375--397.

H. Qin, Q. Zhang*, S. Wan, The continuous Galerkin finite element methods for linear neutral delay differential equations, Applied Mathematics and Computation 346 (2019) 76--85

T. Li, Q. Zhang*, W. Niazi, Y. Xu, M. Ran, An effective algorithm for delay fractional convection-diffusion wave equation based on reversible exponential recovery method, IEEE Access, 7(1) 5554--5563, (2018)

Q. Zhang, M. Chen, Y. Xu, D. Xu, Compact $\theta$-method for the generalized delay diffusion equation, Applied Mathematics and Computation 316 (2018) 357--369

Q. Zhang, M. Mei, C. Zhang, Higher-order linearized multistep finite difference methods for non-Fickian delay reaction-diffusion equations, International Journal of Numerical Analysis and Modeling 14(1) (2017), 1--19. 

Q. Zhang, M. Ran, D. Xu, Convergence and stability of the compact difference scheme for the semilinear fractional partial differential equation with time delay, Applicable Analysis 96 (2017) 1867--1884.

X. Jiang, D. Xu, Q. Zhang, A modified regularized algorithm for a semilinear space-fractional backward diffusion problem, Mathematical Methods in the Applied Sciences 40(16) (2017) 5996–-6006

Y. Yu, D. Xu, Y.S. Xu, Q. Zhang, Variational formulation for a fractional heat transfer model in fire-fighter protective clothing, Applied Mathematical Modelling (2016) 1--17.

Q.Zhang, M. Ran, Z. Zhong, Numerical solution for two-dimensional neutral parabolic differential equations with delay, International Journal of Modelling and Simulation. 36 (2016) 12-19.

Q. Zhang, C. Zhang, L. Wang, The compact and Crank-Nicholson ADI methods for two-dimensional nonlinear multidelay parabolic equations, Journal of Computational and Applied Mathematics, 306 (2016), 217--230.

Q. Zhang, D. Li, C. Zhang, D. Xu, Analysis of the multistep difference schemes for variable coefficient delay parabolic equations, Journal of Difference Equations and Applications, 22(6) (2016) 745--765.

R. Huang, M. Mei, K. Zhang, Q. Zhang, Stability of oscillating wavefronts for time-delayed nonlocal dispersal equations, Discrete and Continuous Dynamical Systems-Series A. 36 (2016) 1331--1353.

I-Liang Chern, M. Mei, X. Yang, Q.Zhang, Stability of nonotone critical travelling wave for reaction-diffuction equation with time delay, Journal of Differential Equations. 259 (2015) 1503--1541.

Q. Zhang, C. Zhang, D. Ding, Compact ADI method to solve 2D nonlinear delayhyperbolic differential equations, International Journal of Computer Mathematics,91 (2014) 964--982.

Q. Zhang, C. Zhang,  A compact difference scheme combined with extrapolation techniques for solving a class of neutral delay parabolic differential equations, Applied Mathematics Letters, 26 (2013) 306—312.

Q. Zhang, C. Zhang,  Block preconditioning strategies for nonlinear viscous wave equations, Applied Mathematical Modelling, 37 (2013) 5801--5813.

Q. Zhang, C. Zhang,  A new linearized compact multisplitting scheme for the nonlinear convection-reaction-diffusion equations with delay, Communications in Nonlinear Science and Numerical Simulation, 18 (2013) 3278--3288.

科研项目：

2019.07.1--2021.7.31 浙江省育才工程项目:非局部空间分数阶广义扩散系统的高精度快速算法研究， 主持 进行中

2019.01.1--2020.12.31 中国博士后科学基金:几类时滞空间反常扩散系统的高精度守恒算法研究, 2018M642131 主持 结题

2019.01.1--2020.12.31 浙江省自然科学基金一般项目:空间分数阶广义扩散系统的高精度算法研究, 浙江 SFC LY19A010026 主持 已结题

2016.01.1--2018.12.31 国家自然科学基金青年基金:几类离散与分布型变时滞抛物系统的高精度快速算法研究, NSFC 11501514 主持 已结题

2016.01.1--2017.12.31 浙江省自然科学基金青年基金:离散和分布型变系数时滞抛物系统的高性能算法及其应用, LQ16A010007 主持 已结题

2016.01.1--2018.12.31 浙江省教育厅科研项目: 变系数时滞抛物型方程(组)的稳定性与高性能算法,Y201533134 主持 已结题

2013.04.01--2014.04.01 华中科技大学博士论文创新基金:几类延迟偏微分方程的高效数值算法研究, 0118011130 主持 已结题

教学项目：

2019.6.1--2021.6.1 浙江省精品课程课程建设项目(2019YCGC012): 《数学物理方程》课程建设, 主持，进行中，网络课程已上线智慧树网站

2018.12.01--2020.12.1浙江理工大学研究生课程建设项目(YKC-1801:基于iCar理念的《微分方程数值解法》课程建设), 排名第一，已结题

2018.09.01--2019.9.31浙江理工大学新生研讨课建设项目—AI中的数学建模与计算 排名第三

2017.09.01--2019.12.31 浙江理工大学课堂教学改革研究项目(基于ICARA的《偏微分方程数值解*》课堂教学改革) 主持, 排名第一，已结题

2016.01.01--2018.04.01 浙江理工大学2015年应用数学全英文授课课程群，排名第四 主要负责《偏微分方程数值解*》，已结题

2015.01.01--2016.12.31浙江理工大学2015年度研究生教育教学改革研究项目(《数值分析》课程建设, 项目号: YKC-Z15001) 排名第三，已结题

教材与教学论文：

徐定华, 徐映红, 葛美宝, 张启峰, 微分方程与反问题:模型与计算. 科学出版社, (2020年11月)

张启峰, 徐定华, 徐映红, 二阶线性齐次常微分方程与方程组求解的类比法, 大学数学, 已接收。

张启峰*, 由重积分的坐标变换透视微元法,高等数学研究, 23(2) (2020) 70--73

蔡炯坚, 张启峰*, 徐映红, 离散和连续型嵌入定理的注记,大学数学, 34(2) (2018) 86--88