[39] Shimin Guo,  Wenjing Yan, Liquan Mei,   IMEX  Hermite-Galerkin spectral method for incompressible Hall-magnetohydrodynamics flow with varaible density, SIAM Journal on Scientific Computing, Accepted, 2024. (SCI)

[38] Shimin Guo,  Liquan Mei, Wenjing Yan,  A linearly implicit spectral scheme for three-dimensional Hall-MHD system, SIAM Journal on Scientific Computing 46 (2024) B752-B783. (SCI)

[37] Shimin Guo,  Liquan Mei, Yaolin Jiang, An efficient Hermite-Galerkin spectral scheme for three-dimensional incompressible Hall-magnetohydrodynamic system on infinite domain, Journal of Computational Physics 498 (2024) 112686. (SCI)

[36] Shimin Guo,  Liquan Mei, Wenjing Yan, Ying Li,  Mass-, energy-, and momentum-preserving spectral scheme for Klein-Gordon-Schrödinger system on infinite domains, SIAM Journal on Scientific Computing 45 (2023) B200-B230. (SCI)

[35] Shimin Guo, Wenjing Yan, Can Li, Liquan Mei, Dissipation-preserving rational spectral-Galerkin method for strongly damped nonlinear wave system involving mixed fractional Laplacians in unbounded domains, Journal of Scientific Computing 93 (2022) 53. (SCI)

[34] Shimin Guo, Can Li, Xiaoli Li, Liquan Mei, Energy-conserving and time-stepping-varying ESAV-Hermite-Galerkin spectral scheme for nonlocal Klein-Gordon-Schrödinger system with fractional Laplacian in unbounded domains, Journal of Computational Physics 458 (2022) 111096. (SCI)

[33] Can Li, Hailong Wang, Hongyun Yue, Shimin Guo, Fast difference scheme for the reaction-diffusion-advection equation with exact artificial boundary conditions, Applied Numerical Mathematics 173 (2022) 395–417. (SCI)

[32] Shimin Guo, Liquan Mei, Can Li, Wenjing Yan, Jinghuai Gao,  IMEX Hermite-Galerkin spectral schemes with adaptive time stepping for the coupled nonlocal Gordon-type systems in multiple dimensions, SIAM Journal on Scientific Computing 43 (2021) B1133-B1163. (SCI)

[31] Shimin Guo, Yaping Chen, Liquan Mei, Yining Song,  Finite difference/generalized Hermite spectral method for the distributed-order time-fractional reaction-diffusion equation on multi-dimensional unbounded domains, Computers and Mathematics with Applications 93 (2021) 1-19. (SCI)

[30] Shimin Guo, Wenjing Yan, Liquan Mei, Ying Wang, Lingling Wang,  A linearized spectral-Galerkin method for three-dimensional Riesz-like space fractional nonlinear coupled reaction-diffusion equations, Numerical Mathematics: Theory, Methods and Applications 14 (2021) 738-772. (SCI)

[29] Shimin Guo, Liquan Mei, Can Li, Zhengqiang Zhang, Ying Li, Semi-implicit Hermite-Galerkin spectral method for distributed-order fractional-in-space nonlinear reaction-diffusion equations in multidimensional unbounded domains, Journal of Scientific Computing 85 (2020) 15. (SCI)

[28] Shimin Guo, Liquan Mei, Zhengqiang Zhang, Can Li, Mingjun Li, Ying Wang, A linearized finite difference/spectral-Galerkin scheme for three-dimensional distributed-order time-space fractional nonlinear reaction-diffusion-wave equation: Numerical simulations of Gordon-type solitons, Computer Physics Communications 252 (2020) 107144. (SCI)

[27] Shimin Guo, Liquan Mei, Zhengqiang Zhang, Jie Chen, Yuan He, Ying Li, Finite difference/Hermite-Galerkin spectral method for multi-dimensional nonlinear fractional reaction-diffusion equation in unbounded domains, Applied Mathematical Modelling 70 (2019) 246-263. (SCI)

[26] Shimin Guo, Liquan Mei, Yanren Hou, Zhengqiang Zhang, An efficient finite difference/Hermite-Galerkin spectral method for time-fractional coupled sine-Gordon equations on multidimensional unbounded domains and its applications in numerical simulations of vector solitons, Computer Physics Communications 237 (2019) 110-128. (SCI)

[25] Jie Chen, Zhengkang He, Shimin Guo, Shuyu Sun, Zhangxing Chen, Efficient linear schemes with unconditional energy stability for the phase field model of solid-state dewetting problems,  Journal of Computational Mathematics, Accepted. (SCI)

[24] Shimin Guo, Liquan Mei, Zhengqiang Zhang, Yutao Jiang, Finite difference/spectral-Galerkin method for a two-dimensional distributed-order time-space fractional reaction-diffusion equation, Applied Mathematics Letters 85 (2018) 157–163. (SCI)

[23] Shimin Guo, Liquan Mei, Ying Li, An efficient Galerkin spectral method for two-dimensional fractional nonlinear reaction–diffusion-wave equation, Computers & Mathematics with Applications 74 (2017) 2449–2465. (SCI)

[22] Youfa Sun, Caiyan Liu, Shimin Guo, Stochastic volatility double-jump-diffusions model: the importance of distributiontype of jump amplitude, International Journal of Computer Mathematics 94 (2017) 989-1014. (SCI)

[21] Yibao Li, Shimin Guo, Triply periodic minimal surface using a modified Allen-Cahn equation, Applied Mathematics and Computation 295 (2017) 84-94. (SCI)

[20] Shimin Guo, Liquan Mei, Ya-Ling He, Chenchen Ma, Youfa Sun, Modulation instability and dissipative ion-acoustic structures in collisional nonthermal electron-positron-ion plasma: solitary and shock waves, Plasma Sources Science and Technology 25 (2016) 055006. (SCI)

[19] Shimin Guo, Liquan Mei, Ya-Ling He, Huaqi Guo, Yanjun Zhao, The effect of trapped electrons on the three-dimensional ion-acoustic shock wave in magnetized ionic-pair plasma, EPL (Europhysics Letters) 114 (2016) 25002. (SCI)

[18] Shimin Guo, Liquan Mei, Yaling He, Ying Li, Modulation instability and ion-acoustic rogue waves in a strongly coupled collisional plasma with nonthermal nonextensive electrons, Plasma Physics and Controlled Fusion 58 (2016) 025014. (SCI) 

[17] Shimin Guo, Liquan Mei, Yaling He, Yibao Li, Time-fractional Schamel–KdV equation for dust-ion-acoustic waves in pair-ion plasma with trapped electrons and opposite polarity dust grains, Physics Letters A 380 (2016) 1031-1036. (SCI) 

[16] Shimin Guo, Liquan Mei, Zhengqiang Zhang, Time-fractional Gardner equation for ion-acoustic waves in negative-ion-beam plasma with negative ions and nonthermal nonextensive electrons, Physics of Plasmas 22 (2015) 052306. (SCI)   

[15] Shimin Guo, Liquan Mei, Yubin Zhou, The compound (G'/ G )-expansion method and double non-traveling wave solutions of (2 + 1)-dimensional nonlinear partial differential equations, Computers and Mathematics with Applications 69 (2015) 804-816.(SCI)   

[14] Shimin Guo, Liquan Mei, Modulation instability and dissipative rogue waves in ion-beam plasma Roles of ionization, recombination, and electron attachment, Physics of Plasmas 21 (2014) 112303. (SCI)  

[13] Shimin Guo, Liquan Mei, Three-dimensional dust-ion-acoustic rogue waves in a magnetized dusty pair-ion plasma with nonthermal nonextensive electrons and opposite polarity dust grains, Physics of Plasmas 21 (2014) 082303.  (SCI)   

[12] Shimin Guo, Lech A. Grzelak, Cornelis W. Oosterlee, Analysis of an affine version of the Heston–Hull–White option pricing partial differential equation, Applied Numerical Mathematics 72 (2013) 143–159. (SCI) 

[11] Shimin Guo, Liquan Mei, Weijuan Shi, Rogue wave triplets in an ion-beam dusty plasma with superthermal electrons and negative ions, Physics Letters A 377 (2013) 2118–2125. (SCI)  

[10] Shimin Guo, Liquan Mei, Anbang Sun, Nonlinear ion-acoustic structures in a nonextensive electron–positron–ion–dust plasma: Modulational instability and rogue waves, Annals of Physics 332 (2013) 38–55. (SCI)  

[09] Shimin Guo, Liquan Mei, Ying Li, Fractional variational homotopy perturbation iteration method and its application to a fractional diffusion equation, Applied Mathematics and  Computation 219 (2013) 5909–5917. (SCI, ESI高被引论文) 

[08] Shimin Guo, Hongli Wang, Liquan Mei, (3+1)-dimensional cylindrical Korteweg-de Vries equation for nonextensive dust acoustic waves: Symbolic computation and exact solutions, Physics of Plasmas 19 (2012) 063701.  (SCI)  

[07] Shimin Guo, Liquan Mei, Ying Li, Youfa Sun, The improved fractional sub-equation method and its applications to the space–time fractional differential equations in fluid mechanics, Physics Letters A 376 (2012) 407–411.  (SCI)  

[06] Shimin Guo, Liquan Mei, Ye Fang, Zhiyu Qiu, Compacton and solitary pattern solutions for nonlinear dispersive KdV-type equations involving Jumarie’s fractional derivative, Physics Letters A 376 (2012) 158–164.  (SCI)  

[05] Shimin Guo, Liquan Mei, The fractional variational iteration method using He’s polynomials, Physics Letters A 375 (2011) 309–313.  (SCI) 

[04] Shimin Guo, Liquan Mei, Yubin Zhou, Chao Li, The extended Riccati equation mapping method for variable-coefficient diffusion–reaction and mKdV equations, Applied Mathematics and Computation 217 (2011) 6264–6272.  (SCI)  

[03] Shimin Guo, Yubin Zhou, The extended (G'/G)-expansion method and its applications to the Whitham–Broer–Kaup–Like equations and coupled Hirota–Satsuma KdV equations, Applied Mathematics and Computation 215 (2010) 3214–3221. (SCI, ESI高被引论文) 

[02] Shimin Guo, Yubin Zhou, Chenxia Zhao, The improved (G'/G)-expansion method and its applications to the Broer–Kaup equations and approximate long water wave equations, Applied Mathematics and Computation 216 (2010) 1965–1971.  (SCI)  

[01] Shimin Guo, Yubin Zhou, Auxiliary equation method for the mKdV equation with variable coefficients, Applied Mathematics and Computation 217 (2010) 1476–1483. (SCI)