学术论文：
[1] Zhang M., Zou Y., Zhang R., Cao, Y.: Weak convergence of drift-implicit Euler and spectral Galerkin approximation to stochastic Allen–Cahn squation driven by multiplicative trace-class noise. J. Sci. Comput. 107(1), 33–47 (2026)
[2] Zhang M., Zou Y.,: High order weak convergence of a spectral Galerkin discretization to stochastic Burgers equation driven by additive noise. Discrete Contin. Dyn. Syst. Ser. B 36, 217–233 (2026)
[3] Zhou, J., Zou, Y., Chai, S., Wang, B., Tan, Z.: A Novel numerical method for McKean-Vlasov stochastic differential equation. Discrete Contin. Dyn. Syst. Ser. B 36, 44–65 (2026)
[4] Zhou, J., Zou, Y., Konarovskyi, V., Yang, X.: Numerical approximation and dynamics of periodic solution in distribution of stochastic differential equations. Numer. Algorithms 101(1), 343–372 (2026)
[5] Liu, X., Zou, Y., Meir, A.J.: Physics-based multi-time stepping algorithm for three-dimensional quasi-static electroporoelasticity equations. Int. J. Numer. Anal. Model. 23(2), 252–274 (2026)
[6] Zhang, M., Zou, Y.: Weak convergence analysis of a splitting-up method for stochastic differential equations. J. Comput. Math. 44(2), 427–445 (2026)
[7] Zhou, J., Zou, Y., Wang, B.: A new approximate method to mean field stochastic differential equation with one-sided Lipschitz drift coefficient. Commun. Comput. Phys. 39(2), 615–634 (2026)
[8] Liu, X., Zou, Y., Zhang, R., Cao, Y., Meir, A.J.: Splitting finite element approximations for quasi-static electroporoelasticity equations. J. Sci. Comput. 104(3), 109–35 (2025)
[9] Wang, Y., Zou, Y., Chai, S.: A finite element approximation for the simulation of the flow impacted by metachronal coordination between beating cilia. Comput. Appl. Math. 44(2), 178–28 (2025)
[10] Liu, X., Zou, Y., Wang, Y., Zhou, C., Wang, H.: Numerical analysis of stabilizer free weak Galerkin finite element method for time-dependent differential equation under low regularity. Numer. Methods Partial Differential Equations 41(1), 23165–15 (2025)
[11] Zhang, F., Zou, Y., Chai, S., Cao, Y.: A splitting method for nonlinear filtering problems with diffusive and point process observations. Commun. Comput. Phys. 36(4), 996–1020 (2024)
[12] Wen, X., Li, F., Sui, P., Zou, Y.: Blind denoising and deblurring algorithm for remote sensing images based on partial differential equations. J. Numer. Methods Comput. Appl. 45(3), 288–300 (2024)
[13] Liu, X., Zou, Y., Chai, S., Wang, H.: Optimal convergence analysis of weak Galerkin finite element methods for parabolic equations with lower regularity. Numer. Algorithms 97(3), 323–1339 (2024)
[14] Feng, Y., Peng, H., Wang, R., Zou, Y.: A stabilizer free weak Galerkin finite element method for the linear elasticity equations. Commun. Pure Appl. Anal. 23(8), 1095–1115 (2024)
[15] Zhang, F., Zou, Y., Chai, S., Cao, Y.: Numerical analysis of a time discretized method for nonlinear filtering problem with L´evy process observations. Adv. Comput. Math. 50(4), 73–32 (2024)
[16] Wang, Y., Zou, Y., Liu, X., Zhou, C.: A stabilizer free weak Galerkin finite element method for elliptic equation with lower regularity. Numer. Math. Theory Methods Appl. 17(2), 514–533 (2024)
[17] Zhang, F., Yang, Z., Zou, Y.: On convergence of splitting-up algorithm for stochastic partial differential equations with jump. Math. Numer. Sin. 45(4), 401–414 (2023)
[18] Zhao, L., Wang, R., Zou, Y.: A hybridized weak Galerkin finite element scheme for linear elasticity problem. J. Comput. Appl. Math. 425, 115024–15 (2023)
[19] Zheng, H., Zou, Y., Zhang, J.: Non-uniqueness of transonic shock solutions to non-isentropic Euler-Poisson system with varying background charges. Z. Angew. Math. Phys. 74(1), 20–14 (2023)
[20] Peng, H., Wang, R., Wang, X., Zou, Y.: Weak Galerkin finite element method for linear elasticity interface problems. Appl. Math. Comput. 439, 127589–12 (2023)
[21] Zhang, F., Zou, Y., Chai, S., Zhang, R., Cao, Y.: Splitting-up spectral method for nonlinear filtering problems with correlation noises. J. Sci. Comput. 93(1), 25–24 (2022)
[22] Chai, S., Wang, Y., Zhao, W., Zou, Y.: A C 0 weak Galerkin method for linear Cahn-Hilliard-Cook equation with random initial condition. Appl. Math. Comput. 414, 126659–11 (2022)
[23] Wang, Y., Zou, Y., Chai, S.: (1 + s)-order convergence analysis of weak Galerkin finite element methods for second order elliptic equations. Adv. Appl. Math. Mech. 13(3), 554–568 (2021)
[24] Huo, G., Zou, Y., Xu, Y.: B-method approach to blow-up solutions of fourth order semilinear parabolic equations. Numer. Algorithms 85(4), 1365–1384 (2020)
[25] Zhou, C., Zou, Y., Chai, S., Zhang, F.: Mixed weak Galerkin method for heat equation with random initial condition. Math. Probl. Eng., 8796345–11 (2020)
[26] Wang, X., Zou, Y., Zhai, Q.: An effective implementation for Stokes equation by the weak Galerkin finite element method. J. Comput. Appl. Math. 370, 112586–8 (2020)
[27] Zhu, H., Zou, Y., Chai, S., Zhou, C.: A weak Galerkin method with RT elements for a stochastic parabolic differential equation. East Asian J. Appl. Math. 9(4), 818–830 (2019)
[28] Chai, S., Zou, Y., Zhou, C., Zhao, W.: Weak Galerkin finite element methods for a fourth order parabolic equation. Numer. Methods Partial Differential Equations 35(5), 1745–1755 (2019)
[29] Chai, S., Zou, Y., Zhao, W.: A weak Galerkin method for C 0 element for forth order linear parabolic equation. Adv. Appl. Math. Mech. 11(2), 467–485 (2019)
[30] Zhu, H., Zou, Y., Chai, S., Zhou, C.: Numerical approximation to a stochastic parabolic PDE with weak Galerkin method. Numer. Math. Theory Methods Appl. 11(3), 604–617 (2018)
[31] Chai, S., Cao, Y., Zou, Y., Zhao, W.: Conforming finite element methods for the stochastic Cahn-Hilliard-Cook equation. Appl. Numer. Math. 124, 44–56 (2018)
[32] Zhou, C., Zou, Y., Chai, S., Zhang, Q., Zhu, H.: Weak Galerkin mixed finite element method for heat equation. Appl. Numer. Math. 123, 180–199 (2018)
[33] Zou, Y., Zheng, D., Chai, S.: Numerical computation of connecting orbits in planar piecewise smooth dynamical system. J. Math. Anal. Appl. 448(2), 815–840 (2017)
[34] Zhang, H., Zou, Y., Xu, Y., Zhai, Q., Yue, H.: Weak Galerkin finite element method for second order parabolic equations. Int. J. Numer. Anal. Model. 13(4), 525–544 (2016)
[35] Zhang, H., Zou, Y., Chai, S., Yue, H.: Weak Galerkin method with (r, r−1, r−1)-order finite elements for second order parabolic equations. Appl. Math. Comput. 275, 24–40 (2016)
[36] Xu, Y., Zou, Y.: Preservation of Takens-Bogdanov bifurcations for delay differential quations by Euler discretization. J. Dynam. Differential Equations 26(4), 1029–1048 (2014)
[37] Shi, L., Zou, Y., Kupper, T.: Melnikov method and detection of chaos for non-smooth systems. Acta Math. Appl. Sin. Engl. Ser. 29(4), 881–896 (2013)
[38] Guan, Q., Zhang, R., Zou, Y.: Analysis of collocation solutions for nonstandard Volterra integral equations. IMA J. Numer. Anal. 32(4), 1755–1785 (2012)
[39] Liu, Y., Zou, Y.: Numerical computation of connecting orbits on a manifold. Numer. Algorithms 61(3), 429–464 (2012)
[40] Chai, S., Zou, Y.: The spectral method for the Cahn-Hilliard equation with concentration-dependent mobility. J. Appl. Math., 808216–35 (2012)
[41] Huls, T., Zou, Y.: On computing heteroclinic trajectories of non-autonomous maps. Discrete Contin. Dyn. Syst. Ser. B 17(1), 79–99 (2012)
[42] Xu, Y., Zou, Y.: Preservation of homoclinic orbits under discretization of delay differential equations. Discrete Contin. Dyn. Syst. 31(1), 275–299 (2011)
[43] Chen, X., Zou, Y.: Practical stability in the pth mean of stochastic differential equations with discontinuous coefficients. Commun. Math. Res. 26(4), 337–352 (2010)
[44] Chen, X., Zou, Y.: Generalized practical stability analysis of Filippov-type systems. J. Math. Anal. Appl. 367(1), 304–316 (2010)
[45] Zang, L., Chen, X., Gong, C., Zou, Y.: Bifurcation of equilibria in a class of planar piecewise smooth systems with 3 parameters. Commun. Math. Res. 25(3), 204–212 (2009)
[46] Zou, Y., Wang, L., Zhang, R.: Cubically convergent methods for selecting the regularization parameters in linear inverse problems. J. Math. Anal. Appl. 356(1), 355–362 (2009)
[47] Chai, S., Zou, Y., Gong, C.: Spectral method for a class of Cahn-Hilliard equation with nonconstant mobility. Commun. Math. Res. 25(1), 9–18 (2009)
[48] Zou, Y., Hu, Q., Zhang, R.: On numerical studies of multi-point boundary value problem and its fold bifurcation. Appl. Math. Comput. 185(1), 527–537 (2007)
[49] Zou, Y., Kupper, T., Beyn, W. J.: Generalized Hopf bifurcation for planar Filippov systems continuous at the origin. J. Nonlinear Sci. 16(2), 159–177 (2006)
[50] Zou, Y., Kupper, T.: Generalized Hopf bifurcation emanated from a corner for piecewise smooth planar systems. Nonlinear Anal. 62(1), 1–17 (2005)
[51] Beyn, W. J., Huls, T., Kleinkauf, J.-M., Zou, Y.: Numerical analysis of degenerate connecting orbits for maps. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 14(10), 3385–3407 (2004)
[52] Zou, Y., Beyn, W. J.: On the existence of transversal heteroclinic orbits in discretized dynamical systems. Nonlinearity 17(6), 2275–2292 (2004)
[53] Bai, F., Yin, L., Zou, Y.: A pseudo-spectral method for the Cahn-Hilliard equation. J. Jilin Univ. Sci. 41(3), 262–268 (2003)
[54] Zou, Y., Beyn, W. J.: On manifolds of connecting orbits in discretizations of dynamical systems. Nonlinear Anal. 52(5), 1499–1520 (2003)
[55] Zou, Y., Huang, M.: Torus bifurcation under discretization. Northeast. Math. J. 18(2), 151–166 (2002)
[56] Zou, Y., She, Y.: Homoclinic bifurcation properties near eight-figure homoclinic orbit. Northeast. Math. J. 18(1), 79–88 (2002)
[57] Zou, Y., Jin, Y.: Numerical analysis of bifurcation properties near a saddlenode homoclinic orbit. J. Jilin Univ. Sci. 40(1), 16–18 (2002)
[58] Zou, Y., Kupper, T.: Hopf bifurcation for non-smooth planar dynamical systems. Northeast. Math. J. 17(3), 261–264 (2001)
[59] Zou, Y., Kupper, T.: Generalized Hopf bifurcation for non-smooth planar dynamical systems: the corner case. Northeast. Math. J. 17(4), 379–382 (2001)
[60] Zou, Y., Dong, X.: The existence of Hopf invariant manifolds of higher dimensional discrete dynamical systems. Acta Sci. Natur. Univ. Jilin. (4), 13–16 (2001)
[61] Giannakopoulos, F., Kupper, T., Zou, Y.: Homoclinic bifurcations in a planar dynamical system. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 11(4), 1183–1191 (2001)
[62] Huls, T., Zou, Y.: Polynomial estimates and discrete saddle-node homoclinic orbits. J. Math. Anal. Appl. 256(1), 115–126 (2001)
[63] Huang, M., Zou, Y.: Eigenstructure preserving schemes and their applications in dynamical systems. In: Advances in Computational Mathematics (Guangzhou, 1997). Lecture Notes in Pure and Appl. Math., vol. 202, pp. 223–235. Dekker, New York, (1999)
[64] Zou, Y., Beyn, W. J.: Invariant manifolds for nonautonomous systems with application to one-step methods. J. Dynam. Differential Equations 10(3), 379–407 (1998)
[65] Zou, Y., Wu, W., Huang, M.: A Petrov-Galerkin method with linear trial and quadratic test spaces for parabolic convection-diffusion problems. Northeast. Math. J. 12(2), 207–216 (1996)
[66] Zou, Y., Beyn, W. J.: Discretizations of dynamical systems with a saddle node homoclinic orbit. Discrete Contin. Dynam. Systems 2(3), 351–365 (1996)
[67] Wu, W., Zou, Y., Huang, M.: Heteroclinic cycles emanating from local bifurcations. Manuscripta Math. 85(3-4), 381–392 (1994)
[68] Zou, Y., Huang, M.: The computation of center manifolds and Hopf trajectories. Numer. Math. J. Chinese Univ. (English Ser.) 2(1), 67–86 (1993)
著作教材：
1. 《信息论基础》,科学出版社,2000,主编,十一五国家规划教材
2. 《数值分析》（上册）,高等教育出版社,2007,副主编,十一五国家规划教
3. 《现代数值计算基础》（上册）,科学出版社,2016,主编,十二五国家规划教材
4. 《数值分析》（上册，第二版）,高等教育出版社,2024,主编,十一五国家规划教
5. 《数值分析》（下册，第二版）,高等教育出版社,2025,主编,十一五国家规划教
