Basic Information

Dr. Liquan Mei

Professor of Mathematics, Department of Scientific Computing, School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, China

Tel: +86 29 82669051, Email:
Office:  Room 331, Mathematics Building, Xi’an Jiaotong University

Research Interests: Numerical Methods for PDEs, Computational Physics, Data Mining.                                         



  • 1994.3 ---- 1997.6   Ph. D  Xi’an Jiaotong University

  • 1991.9 ---- 1994.2   Master Degree, Xi’an Jiaotong University

  • 1987.9 ---- 1991.7   Bachelor Degree, Xi’an Jiaotong University

Working Experience

  • 2013.5---- 2014.5         Visiting Scholar, Department of Chemical and Petroleum Engineering,University of Calgary,Canada.
  • 2007.6 ---- Present      Professor, Department of Scientific Computing, School of Science, Xi’an Jiaotong University
  • 2000.6 ---- 2003.5       Post-Doc, German  Fraunhofer Institute for Algorithms and Scientific Computing 
  • 1999.10 ---- 2007.6     Associate professor, Department of Scientific Computing, School of Science, Xi’an Jiaotong  University
  • 1997.6 ---- 1999.10     Lecturer, Department of Scientific Computing, School of Science, Xi’an Jiaotong University


[192]  Gang Wang, Yongchao Zhang, Liquan Mei, A posteriori error analysis of the Hybrid High-Order method for the Stokes problem, Journal of Scientific Computing, accepted

[191] Daopeng Yin, Yingying Xie, Liquan Mei, The Stability and Convergence Analysis  of Finite Difference Methods for the Fractional Neutron Diffusion Equation, accepted

[190] Linlin Bu, Jianhua Wu, Liquan Mei, Ying Wang(EI 20230053094), Second-Order Linear Adaptive Time-Stepping Schemes for the Fractional Allen–Cahn Equation, Computers and Mathematics with Applications,, 145(2023):260-274

[189] Hai Chunlong, Mei Liquan, Qian Weiqi, Two-fidelity data fusion modeling with particle swarm sampling, World Journal of Mathematics and Statistics, 2(1),2023

[188]  Jian Meng, Liquan Mei, Mingfa Fei(SCI, EI ), H1- conforming virtual element method for the Laplacian eigenvalue problem in mixed form, Journal of Computational and Applied Mathematics, 436(2024) 115395

[187] Yingying Xie, Qi Li, Liquan Mei (SCI9T6MC , EI20230913645073 ) , A new Lagrange multiplier method for the mass-conserved Allen-Cahn type square phase-eld crystal model, Applied Mathematics Letters, 141(2023): 108612

[186] Jian Meng, Liquan Mei, Review on the Virtual Element Method of Eigenvalue Problems,  Chinese Journal of Engineering Mathematics, 39(6)(2022):851-861

[185] Shimin Guo, Liquan Mei, Wenjing Yan, Ying Li, Mass-, energy-, and momentum-preserving spectral scheme for Klein-Gordon-Schrodinger system on infinite domains, SIAM Journal on Scientific Computing, 48(2)(2023): B200-B230

[184] Amin Mosallanezhad, De-Fu Bu, Miljenko Cemeljic, Fatemeh Zahra Zeraatgari, Yang Hai, Liquan Mei (SCI5R0PW, EI20220361804 ) , Numerical Simulation of Hot Accretion Flow around Bondi Radius,  The Astrophysical Journal, 939(1):12

[182] Liquan Mei, Shimin Guo, Research Progress and Future Prospect of Numerical Solutions of Fractional Model in Plasma Physics, Chinese Journal of Engineering Mathematics, 39(4):511-521, 2022

[181] Shimin Guo, Wenjing Yan, Can Li, Liquan Mei (SCI5R0PW, EI20220361804), Dissipation-preserving rational spectral-Galerkin method for strongly damped nonlinear wave system involving mixed fractional Laplacians in unbounded domains, Journal of Scientific Computing, , 93(2)(2022):53

[180] Yingying Xie, Daopeng Yin, Liquan Mei (SCI 5B0VB, EI20223412594354), Finite difference scheme on graded meshes to the time-fractional neutron diffusion equation with non-smooth solutions, Applied Mathematics and Computation, 435(2022), 127474

[179] Weijun Tian, Liquan Mei (SCI5A9VX, EI20223812765869), The Finite Element Numerical Simulation of Transonic Flow with Nonequilibrium Condensation, Mathematical Problems in Engineering, 2022(2022), 9110254

[178] Qi Li, Supei Zheng, Liquan Mei(SSCI 2W9IQ ), Three decoupled, second-order accurate, and energy stable schemes for the conserved Allen-Cahn type block copolymer (BCP) model. Numerical Algorithms, 92(2023):1233-1259,, WOS:000824830200002.

[177] Qi Li, Ning Cui, Supei Zheng, Liquan Mei(SCI 210DH, EI20222312204501 ), A new Allen–Cahn type two-model phase-field crystal model for fcc ordering and its numerical approximation. Applied Mathematics Letters, 132(2022)108211, WOS:000814655000001.

[176] Jian Meng, Liquan Mei(SCI 4H1DZ, EI20222812355526 ), Virtual element method for the Helmholtz transmission eigenvalue problem of anisotropic media, Mathematical Models and Methods in Applied Sciences, 32(8)(2022): 1493-1529,

[175] Jian Meng, Gang Wang, Liquan Mei(SCI1K8XE), Mixed virtual element method for the Helmholtz transmission eigenvalue problem on polytopal meshes, IMA Journal of Numerical Analysis,  (2022) drac019: 1–33, WOS:000798878000001

[174] Shimin Guo, Can Li, Xiaoli Li, Liquan Mei(SCI 1C9BB, EI20221011769390), Energy-conserving and time-stepping-varying ESAV-Hermite-Galerkin spectral scheme for nonlocal Klein-Gordon-Schrodinger system with fractional Laplacian in unbounded domains, Journal of Computational Physics, 458(2022)111096,

[173] Weijun Tian, Liquan Mei, Yinian He(SCI 0D6AU, EI 20221211803740), Two-level nonconforming quadrilateral finite element method for the stationary Navier-Stokes equations, Mathematical Problems in Engineering, Article ID 7849163,2022

[172] Amin Mosallanezhad, Fatemeh Zahra Zeraatgari , Liquan Mei, Defu Bu(SCI ZK6HY, EI20220012907) , Self-similar Solution of Hot Accretion Flow with Thermal Conduction and Anisotropic Pressure,  The Astrophysical Journal, 926(2022) :182 (11pp)

[171] Jian Meng, Xue Wang, Linlin Bu, Liquan Mei(SCI 0X3ZC, EI20220911709069), A lowest-order free-stabilization virtual element method for the Laplacian eigenvalue problem, Journal of Computational and Applied Mathematics, 410(2022):114013,

[170] Taja Yaying, Bipan Hazarika, Liquan Mei(SCI ), On the domain of q-Euler matrix in c and c_0 with its point spectra, FILOMAT, 37(2)(2023):643-660

[169] Daopeng Yin, Liquan Mei, Finite Element Implementation of General Triangular Mesh for Riesz Derivative, Partial Differential Equation in Applied Mathematics, 4(2021)100188:1-15, DOI: 10.1016/j.padiff.2021.100188

[168] Gang Wang, Jian Meng, Ying Wang, Liquan Mei(SCI 0Y0BS), A priori and a posteriori error estimates for a virtual element method for the non-selfadjoint Steklov eigenvalue problem, IMA Journal of Numerical Analysis,   (2021) drab079: 1–3610.1093/imanum/drab079

[167] Jian Meng, Liquan Mei(SCI WC6CY , EI 20213910943099), The optimal order convergence for the lowest order mixed finite element method of the biharmonic eigenvalue problem, Journal of Computational and Applied Mathematics402(2022)113783

[166] Shimin Guo, Liquan Mei, Can Li, Wenjing Yan, Jinghuai Gao(SCIXY1LK, EI20221912089980), IMEX Hermite-Galerkin spectral schemes with adaptive time stepping for the coupled nonlocal Gordon-type systems in multiple dimensions, SIAM Journal on Scientific Computing, 46(3):B1133-B1163

[165] Qi Li, Liquan Mei(SCI UL5YV, EI20213010692677), Numerical approximation of the two-component PFC models for binary colloidal crystals: efficient, decoupled, and second-order unconditionally energy stable schemes, Journal of Scientific Computing, 88(2021):60

[164] Fatemeh Zahra Zeraatgari, Liquan Mei, Amin Mosallanezhad(SCI TY1PO, EI20210131985), Self-similar solution of hot accretion flow: the role of kinematic viscosity coefficient,  The Astrophysical Journal, 917(2021):19(10pp)

[163] Shimin Guo, Yaping Chen, Liquan Mei, Yining Song(SCI SF6EY , EI20211510211776), 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

[162] Liquan Mei,  Shimin Guo, Research progress and future prospect of numerical solutions of fractional model in plasma physics, Chinese Journal of Engineering Mathematics, Accepted

[161] Yali Gao, Liquan Mei(SCI QX6XC, EI20211010022236),  Time-splitting Galerkin method for spin-orbit-coupled Bose-Einstein condensates, Computers and Mathematics with Applications, 87(2021):77-90

[160] Lingfei Li, Yingying Xie, Liquan Mei(SCI RC8LW, EI20210909997153), Multiple-order rogue waves for the generalized (2+1)-dimensional Kadomtsev–Petviashvili equation, Applied Mathematics Letters, 117(2021):107079

[159] A. Mosallanezhad , F. Zeraatgari , Liquan Mei, D. Bu, (SCI QV8HI, EI20210045436), Two-dimensional Inflow-Wind Solution of Hot Accretion Flow. I. Hydrodynamics, ApJ , 909(2)(2021):140

[158] S. B. G. Karakoc, Liquan Mei, K. K. Ali(SCI PP3DD), Two Efficient Methods for Solving the Generalized Regularized Long Wave Equation, Applicable Analysis, 101(13): 4721-4742, 2022. 10.1080/00036811.2020.1869942

[157] Y. Chu, F. Ahmad, M. I. Khan, M. Nazeer, F. Hussain, S. Kadry, Liquan Mei(SCI QL6XFEI20210109730527 ), Numerical and scale analysis of non-Newtonian fluid (Eyring-Powell) through pseudo-spectral collocation method (PSCM) towards a magnetized stretchable Riga surface, Alexandria Engineering Journal, 60(2021) 2127-2137

[156] Qi Li, Liquan Mei, Yibao Li(SCI QC3AI, EI20210109719943). Efficient second-order unconditionally stable numerical schemes for the modified phase field crystal model with long-range interaction. Journal of Computational and Applied Mathematics, 389(2021)113335

[155] Shimin Guo, Wenjing Yan, Liquan Mei, Ying Wang, Lingling Wang(SCISO1GB), A linearized spectral-Galerkin method for three-dimensional Riesz-like space fractional nonlinear coupled reaction-diffusion equations, Numerical Mathematics: Theory, Methods and Applications, 14(3)(2021):738-772

[154] Jian Meng, Liquan Mei, A review on the virtual element method of eigenvalue problems, Chinese Journal of Engineering Mathematics, Accepted

[153] Ying Wang, Gang Wang, Linlin Bu, Liquan Mei(SCI PO3UK), Two second-order and linear numerical schemes for the multi- dimensional nonlinear time-fractional Schrödinger equation, Numerical Algorithms, 88(1) (2021): 419-451,

[152] Jian Meng, Gang Wang, Liquan Mei(SCI PY4GQ), A lowest-order virtual element method for the Helmholtz transmission eigenvalue problem, Calcolo , (2021) 58:2,

[151] Jian Meng, Liquan Mei(SCI OV2NC, EI 20204809541414), A  C_0 virtual element method for the biharmonic eigenvalue problem, International Journal of Computer Mathematics, 98(9)(2021): 1821-1833,  DOI:10.1080/00207160.2020.1849635

[150] Shimin Guo, Liquan Mei, Can Li, Zhengqiang Zhang, Ying Li(SCI OB4QJ, EI20204109315139), Semi-implicit Hermite-Galerkin spectral method for distributed- order fractional-in-space nonlinear reaction-diffusion equations in multidimensional unbounded domains, Journal of Scientific Computing, (2020)85:15,

[149] Li Qi, Xiaofeng Yang, Liquan Mei(SCI RN0PQ), Efficient numerical scheme for the anisotropic modified phase-field crystal model with a strong nonlinear vacancy potential, Communications in Mathematical Sciences, 19(2)(2021):355-381

[148] Linlin Bu, Liquan Mei, Ying Wang, Yan Hou(SCI NR3RQ, EI20203509105899), Energy stable numerical schemes for the fractional-in-space Cahn--Hilliard equation, Applied numerical mathematics, 158(2020):392-414,

[147] Jian Meng, Liquan Mei(SCI MY6GP),A  mixed virtual element method for  the vibration problem of clamped Kirchhoff plate, Advances in Computational Mathematics, 46(5)(2020):68. WOS:000558513600001,

[146] Qi Li, Xi Li, Xiaofeng Yang, Liquan Mei(SCI NW3FU, EI20203309050342), Highly efficient and linear numerical schemes with unconditional energy stabilities for the anisotropic phase field crystal model, Journal of Computational and Applied Mathematics 383(2021):113122,

[145] Yali Gao, Rui Li, Liquan Mei(SCI NH4NL, EI20202708898705),.  A second order decoupled energy stable numerical scheme  for Cahn-Hilliard-Hele-Shaw system, Applied Numerical Mathematics, 157(2020)338-355,

[144] Ying Wang, Fawang Liu, Liquan Mei, Vo V. Anh(SCI LT8WF), A novel alternating-direction implicit spectral Galerkin method for amulti-term time-space fractional diffusion equation in three dimensions, Numerical Algorithms, 86(2021):1443-1474,

[143] Wei-jun Tian, Li-quan Mei, Finite element simulation of aerodynamics coefficients of aircraft based on NS equation, Computer Simulation, 37(1):46-50, 2020

[142] Jian Meng, Yongchao Zhang, Liquan Mei(SCI LY6ZZ, EI 20201708534174), A virtual element method for the Laplacian eigenvalue problem in mixed form, Applied Numerical Mathematics, 156(2020):1-13,

[141] Jian Meng, Liquan Mei(SCI MD5YC, EI20201708534549), Discontinuous Galerkin methods of the non-selfadjoint Steklov eigenvalue problem in inverse scattering,  Applied Mathematics and Computation, 381(2020)125307,

[140] Qi Li, Liquan Mei(SCI PS9LO, EI 20201408374256), Efficient, decoupled and second-order unconditionally energy stable numerical scheme for the coupled Cahn-Hilliard system in copolymer/hemopolymer mixtures, Computer Physics Communications 260(2021)107290,

[139]Yingying Xie, Jian Su, Liquan Mei(SCI LM2CN), Blowup results and concentration in focusing Schrodinger-Hartree equation, Discrete Contin. Dyn. Syst., 40(2020)(8):5001-5017.

[138] Shimin Guo, Liquan Mei, Zhengqiang Zhang, Can Li, Mingjun Li, Ying Wang(SCI LK7DM, EI 20200508101129), 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 solitonsComputer Physics Communications, 252(2020)107144,

[137] Yongchao Zhang, Yanxia Qian, Liquan Mei(SCI LD1BT, EI 20194807736683), Discontinuous Galerkin methods of the Stokes equations with nonlinear damping term on general meshes, Computers and Mathematics with Applications, 79(2020)2258-2275,

[136] Jian Meng, Liquan Mei(SCI KR5NI, EI20195207944393), A linear virtual element method for the Kirchhoff plate buckling problem, Applied Mathematics Letters, 103 (2020) 106188,

[135] Fatemeh Zahra Zeraatgari , Amin Mosallanezhad , Yefei Yuan, Defu Bu, Liquan Mei(SCI  KV5MC)Two-dimensional Inflow-outflow Solution of Supercritical Accretion Flow, ApJ, 888(2020):86,

[134] Yongchao Zhang, Liquan Mei(SCI JX4WS, EI 20201708548935), A Hybrid High-Order Method for a Coupled Stokes-Darcy Problem on General Meshes, Journal of Computational Physics, 403(2020):109064:1-23,

[133] Yongchao Zhang, Liquan Mei(SCI JH5VS, EI 20193907477318), A Hybrid High-Order Method for a Class of Quasi-Newtonian Stokes Equations on General Meshes, Applied Mathematics and Computation, 366(2020):124741:1-17,

[132] Yingying Xie, Liquan Mei, Shihui Zhu, Lingfei Li(SCI IY0NO), Sufficient conditions of collapse for dipolar Bose-Einstein condensate, ZAMM Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik,  2019, 99(9): e201700370,

[131] Yanyun Wu, Liquan Mei, Meilan Qiu, Yuchuan Chu(SCI NE9WZ, EI20193107259373), A stabilized finite volume element method for stationary Stokes-Darcy equations using the lowest order, International Journal of Computational Methods, 17(8) :1950053(2020),

[130]  Linlin Bu, Liquan Mei, Yan Hou(SCIJM6QJ, EI20192307005606), Stable second-order schemes for the space-fractional Cahn-Hilliard and Allen-Cahn Equations, CAMWA, 78(11)(2019):3485-3500.

[129]Hailong Qiu, Liquan Mei(SCI JC0VZ, EI20191906869669), Two-grid MFEAs for the incompressible Stokes type variational inequality with damping, Computers and Mathematics with Applications, 78(2019):2772-2788,

[128] Hailong Qiu, Liquan Mei(SCI ID5TT, EI20191706824854) , Multi-level stabilized algorithms for the stationary incompressible Navier-Stokes equations with damping, Applied Numerical Mathematics,143(2019):188-202,

[127]Ying Wang, Qi Li, Liquan Mei(SCI  IC6NO, EI20191506746816), A linear, symmetric and energy-conservative scheme for the space-fractional Klein-Gordon-Schroedinger equations, Applied Mathematics Letters, 95(2019): 104-113,  ,

[126] Qi Li, Liquan Mei, Xiaofeng Yang, Yibao Li(SCI IA1JG, EI), Efficient Numerical Schemes with Unconditional Energy Stabilities for the Modified Phase Field Crystal Equation, Advances in Computational Mathematics, 45(2019): 1551-1580,, online.

[125] Shimin Guo, Liquan Mei, Zhengqiang Zhang, Jie Chen, Yuan He, Ying Li(SCI  HZ2YF, EI20190506452752 ), Finite difference/Hermite-Galerkin spectral method for multi-dimensional nonlinear reaction-diffusion equation in unbounded domains, Applied Mathematical Modelling, 70(2019):246-263,

[124]Ying Wang, Liquan Mei(SCI JD7SE,EI20190206358759), A conservative spectral Galerkin method for the coupled nonlinear space-fractional Schrödinger equations, International Journal of Computer Mathematics96(12)(2019):2387-2410,

[123]Jian Meng, Liquan Mei(SCI), A generalized fractional difference operator and its applications, Linear and Multilinear Algebra, 68(9):1848-1860. 10.1080/03081087.2018.1561826.

[122]Shimin Guo, Liquan Mei, Yanren Hou, Zhengqiang Zhang(SCI HM3IG, EI 20185106269172), An efficient finite difference/Hermite-Galerkin spectral method for time-fractional coupled sine-Gordon equations on multidimensional unbounded domains and its application in numerical simulations of vector solitons, Computer Physics Communications,, 237,:110-128,2019

[121] Liquan Mei, Yan Hou(SCI BN1CR), A Second-Order Energy Stable Fourier Spectral Methods for the Fractional Cahn-Hilliard Equations, 2018 International Conference on Computer, Communications and Mechatronics Engineering, Shanghai, DEStech Transactions on Computer Science and EngineeringISBN: 978-1-60595-611-4, 724-73010.12783/dtcse/ccme2018/28695

[120]Liquan Mei, A Stabilized Fourier Spectral Method for the  Fractional Cahn-Hilliard Equation, Computer Simulation in Application, 1(3):1-9,2018,

[119]Ying Wang, Liquan Mei, Qi Li, Linlin Bu(SCI HE0FG, EI20184606062229), Split-step spectral Galerkin method for the two-dimensional nonlinear space-fractional Schroedinger equation, Applied Numerical Mathematics, 136(2019)257-278. 

[118] Jian Meng, Liquan Mei(SCI), The spectrum of the generalized difference operator $B_v^{(m)}$ over the sequence space $l_{p} (1<p<infty)$, Linear and Multilinear Algebra, 68(7):1329-1339. 10.1080/ 03081087. 2018.1540535

[117]  Jian Meng, Liquan Mei(SCI HA8MH), The matrix domain and the spectra of a generalized difference operator, Journal of mathematical Analysis and Applications, 470(2):1095-1107, 2019, WOS:000450543200023,

[116] Jian Meng, Liquan Mei(SCI GW8WM), Binomial difference sequence spaces of fractional order, Journal of Inequalities and Applications, (2018),2018:274.  WOS:000447261900002,  

[115] Yali Gao, Liquan MeiSCI GS6VU , Galerkin finite element methods for two-dimensional RLW and SRLW equationsApplicable Analysis, 97(13):2288-2312, 2018. WOS:000443838800006,

[114]   Qi Li, Liquan Mei , Bo You (SCI GW6SOEI 20182905573210),A second-order, uniquely solvable, energy stable BDF numerical scheme for the phase field crystal model, Applied Numerical Mathematics, 134 (2018) 46–65,, WOS:000447092000005

[113]   Shimin Guo, Liquan Mei, Zhengqiang Zhang, Yutao Jiang (SCI GN8HAEI 20182605359485), Finite difference/spectral-Galerkin method for a two-dimensional distributed-order time–space fractional reaction–diffusion equation, Applied Mathematics Letters(1区), Volume 85, November 2018, Pages 157-163, DOI:10.1016/j.aml.2018.06.005,WOS:000439399100023

[112]   Qi Li, Liquan Mei(SCI FZ7WCEI 20181004863129) , .Local momentum-preserving algorithms for the GRLW equation, Applied Mathematics and Computation,330:77-92,2018,  WOS:000427814300007, 

[111]   Yali Gao, Xiaoming He, Liquan Mei, Xiaofeng Yang(SCI FY3TJEI20181304967681), Decoupled, linear, and energy stable finite element method for the Cahn-Hilliard-Navier-Stokes-Darcy phase field model, SIAM Journal on Scientific Computing, 40(1):B110-B1372018,, WOS:000426743500031

[110]   Yanyun Wu, Liquan Mei(SCI FX4XA), A non-conforming finite volume element method for the two-dimensional Navier-Stokes/Darcy system, Computational and Applied Mathematics371),457-4742018DOI 10.1007/s40314-016-0355-3, WOS:000426080800023

[109]   Yali Gao, Liquan Mei(SCIFX5RSEI20180704791841) , Galerkin methods for the Davey-Stewartson equationsApplied Mathematics and Computation,328:144-161,2018WOS:000426137900012

[108]Yali Gao, Liquan Mei, Rui Li(SCI FN3OJ, EI20173204030927), Galerkin finite element methods for the generalized Klein-Gordon-Zakharov equationsComputers and Mathematics with Applications, 74(10):2466-2484,2017,, WOS:000415908400019

[107]Ying Wang, Liquan Mei(SCI FG7JI), Generalized finite difference/spectral Galerkin approximations for the time-fractional telegraph equationAdvances in Difference Equations, DOI 10.1186/s13662-017-1348-2, WOS:000410483100004

[106]Shimin Guo, Liquan Mei, Ying Li(SCI FN3OJ,EI20173204016122), An efficient Galerkin spectral method for two-dimensional fractional nonlinear reaction-diffusion-wave equation  Computers and Mathematics with Applications, 74(10):2449-2465,2017, DOI: 10.1016/j.camwa. 2017.07.022,  WOS:000415908400018

[105] Qiu, Hailong, An Rong; Mei, Liquan, Xue Changfeng(SCI FC1COEI20172203716289), Two-step algorithms for the stationary incompressible Navier–Stokes equations with friction boundary conditions, Applied Numerical Mathematics,120:97-114, 2017, DOI: 10.106/j.apnum.2017.05.003

[104] Qiu, Hailong , Zhang, Yongchao; Mei, Liquan(SCI EU9YL,EI20171403527997),A Mixed-FEM for Navier–Stokes type variational inequality with nonlinear damping term, Computers and Mathematics with Applications,  73(10):  2191-2207, May 15, 2017

[103] Meilan Qiu, Liquan Mei and De-Wang Li(SCI EO71O), Fully discrete local discontinuous Galerkin approximation for time-space fractional subdiffusion/superdiffusion equations, Advances in Mathematical Physics,2017, 4961797, DOI:10.1155/2017/4961797

[102] Hailong Qiu, Yongchao Zhang, Liquan MeiSCI ES1TA,EI20170803369279), A Penalty-FEM for Navier-Stokes Type Variational Inequality with Nonlinear Damping Term, Numerical Methods for Partial Differential Equations,33(3): 918-940, May 1, 2017

[101] Hailong Qiu, Liquan Mei, Yongchao Zhang(SCI EL5LQ, EI20164803056779), Two-grid variational multiscale algorithms for the stationary incompressible Navier-Stokes equations with friction boundary conditions, Numerical Methods for Partial Differential Equations,33(2):546-569,2017, DOI: 10.1002/num.22118

[100] Meilan Qiu, Liquan Mei, Ganshan Yang(SCI EH0BY),, Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations, Advances in Difference Equations (2017) 2017:1,1-21, DOI: 10.1186/s13662-016-1057-2

[99] Guo, Shimin; Mei, Liquan; He, Ya-Ling; Ma, Chenchen; Sun, Youfa(SCIEY4JYEI20164302942781). 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)055006:1-11

[98] Yali Gao, Liquan Mei (SCI DW3DW,EI20162802571752), Implicit-explicit multistep methods for general two-dimensional nonlinear Schroedinger equations,Applied Numerical Mathematics,109(2016),41-60,DOI: 10.1016/j.apnum.2016.06.003

[97] Shimin Guo, Liquan Mei, Ya-Ling He, Huaqi Guo and Yanjun Zhao(SCI DO0YJ), The effect of trapped electrons on the three-dimensional ion-acoustic shock wave in magnetized ionic-pair plasma,EPL, 114 (2016) 25002,DOI: 10.1209/0295-5075/114/25002

[96] Shimin Guo, Liquan Mei,Yaling He, Yibao Li(SCI DD7LY), 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(9-10)(2016):1031-1036,DOI: 10.1016/j.physleta.2016.01.002

[95] Shimin Guo, Liquan Mei,Yaling He, Ying Li(SCI DF7XK,EI20160501856028), Modulation instability and ion-acoustic rogue waves in a strongly coupled collisional plasma with nonthermal nonextensive electrons, Plasma Physics and Controlled Fusion,58(2)- 025014 (2016), DOI: 10.1088/0741-3335/58/2/025014

[94] Dongyue Liang, Liquan Mei, James Willson, Wei Wang(SCIDI5XR , EI20150600495287), A simple greedy approximation algorithm for the minimum connected k-Center problem, Journal of Combinatorial Optimization,31(4):1417-1429,2016, DOI:10.1007/s10878-015-9831-8

[93] Ying Li, Jian Li, Liquan Mei, Yingping Li(SCI CW3JY), Mixed Stabilized Finite Element Methods based on Backward Difference/Adams-Bashforth Scheme for the Time-Dependent variable density incompressible flows, Computers and Mathematics with Applications,70(2015),2575-2588

[92] Yanyun Wu; Liquan Mei; Ganshan Yang(SCI CU4CI), , Existence of second order smooth solutions for 2D Euler equations with symmetry outside a core region, Boundary Value Problems2015,1921-13,2015

[91] Yali Gao, Liquan Mei, A time-splitting Galerkin finite element method for the Davey-Stewartson equations, Computer Physics Communications,197, 35-42, 2015

[90] Yu Jiang, Liquan Mei, Huiming WeiSCI CO6XC, A finite element variational multiscale method for incompressible flow, Applied Mathematics and Computation, 266, 374-384,2015

[89] Xiong, F., Mei, L.Q., Li, Y. and Zhang, W. (2015) A Characteristics-Mix Stabilized Finite Element Method for Variable Density Incompressible Navier-Stokes Equations. Advances in Pure Mathematics, 5, 251-266.

[88] Shimin Guo, Liquan MeiSCI CJ9AI, Time-fractional Gardner equation for ion-acoustic waves in negative-ion-beam plasma with negative ions and nonthermal nonextensive electrons, Physics of Plasmas,22,052306 (2015)

[87] Shimin Guo, Liquan MeiSCI CG2GW, EI20151100642832),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

[86] Dongyue Liang, Liquan Mei(SCI , EI20150600495287, James Willson, Wei Wang, A simple greedy approximation algorithm for the minimum connected k-Center problem, Journal of Combinatorial Optimization

[85] Liquan Mei,Yali Gao,Zhangxin Chen(SCI ,,, Numerical study using explicit multistep Galerkin finite element method for the MRLW equation, Numerical Methods for Partial Differential Equations,31(2015):1875-1889

[84] Yali Gao, Liquan Mei(SCI , EI20151000592914, Mixed Galerkin finite element methods for modified regularized long wave equation, Applied Mathematics and Computation, (2015) pp. 267-281 

[83] Hailong Qiu, Liquan Mei(SCICA8UQ , EI20145100343970, Two-Level Defect-Correction Stalilized Finite Element Method for Navier-Stokes Equations with Friction Boundary Conditions, Journal of Computational and Applied Mathematics,10.1016/,80-95

[82] Hailong Qiu, Liquan Mei, Hui Liu, Stephen Cartwright(SCICA9WG , EI20145200359693, Defect-Correction Stabilized Finite Element Method for Navier-Stokes Equations with Friction Boundary Conditions, Applied Numerical Mathematics10.1016/j.apnum.2014.11.009, 90(2015), 9-21

[81] Shimin Guo, Liquan Mei(SCIAU5JZ , EI201447223037Modulation instability and dissipative rogue waves in ion-beam plasma: Roles of ionization, recombination, and electron attachmentPhysics of Plasmas21112303 (2014)

[80] Shimin Guo, Liquan MeiSCI AQ4IZ , EI20143318062659),  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, 082303, 1-10, 2014

[79] Meilan Qiu, Liquan Mei, Ganshan Yang, George Xianzhi Yuan(SCI AY4AY), Positive solutions for P-Laplace problems with nonlinear time-fractional differential equationJournal of Inequalities and Applications, 262(1): 1-22

[78] Meilan Qiu, Liquan MeiSCI AM3FP, Existence of Weak Solutions for Nonlinear Time-fractional p-Laplace Problems, Journal of Applied Mathematics, Article ID 231892, 1-9,2014

[77] Liquan Mei, Yali Gao, Zhangxing Chen(SCI AK1BB), A Galerkin Finite Element Method for Numerical Solutions of the Modified Regularized Long Wave Equation, Abstract and Applied Analysis Article ID 438289, 1-12,2014

[76] Hailong Qiu, Liquan Mei, Zhangxin Chen,  Gauge-Uzawa Methods for Navier-Stokes Equations with Nonlinear Slip Boundary Conditions, International Journal of Numerical Analysis and Modeling,  5(1-2):  87–97, 2014.

[75] Hailong Qiu, Liquan Mei, Yamiao ZhangSCIAH1SA EI20141817645171,  Iterative Penalty Methods for the Steady Navier-Stokes Equations, Applied Mathematics and Computation237(2014) 110-119.

[74] Liquan Mei, Hongxing Zhang, Numerical simulations of finite element method for MHD flow, Chinese Journal of Engineering Mathematics,30(3):384-390,2013

[73] Shimin Guo, Liquan Mei, Weijuan Shi(SCI 199SJ), Rogue wave triplets in an ion-beam dusty plasma with superthermal electrons and negative ions, Physics Letters A3772118-2125,2013.

[72]Ying Li, Liquan Mei, Yueqiu Li, Ke Zhao(SCI 227DF, EI20134116837600), A twolevel variational multiscale method for incompressible flows based on two local Gauss integrations, Numerical Methods for Partial Differential Equations29(6):1986-2003,2013.

[71] Liquan Mei, Ke Zhao, The Influence of arterail stenosis in bifurcate blood vessel on the Blood Flow,Chinese Journal of Applied Mechenics,30(3),2013

[70]Ying Li, Liquan Mei, Jiatai Ge, Feng Shi(SCI 145WK)A new fractional time-stepping method for variable density incompressible flowsJournal Of Computational Physics242:124-137,2013

[69]Shimin Guo, Liquan MeiAnbang Sun(SCI 142UU)Nonlinear ion-acoustic structures in a nonextensive electron-positron-ion-dust plasma:Modulational instability and rogue wavesAnnals of Physics332(1):38-55,2013

[68] Meilan Qiu, Liquan Mei, Existence of weak solutions for a class of quasilinear parabolic problems in weighted Sobolev space,Advances in Pure Mathematics 3(1A):204-208,2013

[67] Jin Zhang, Liquan MeiSCI, EI20130515972103, Pointwise Error Estimates of the Bilinear SDFEM on Shishkin Meshes, Numerical Methods for Partial Differential Equations29(2):422-440, 2013

[66]Shimin Guo, Liquan Mei, Ying LiSCI, EI20130515952552, Fractional Variational Homotopy Perturbation Iteration Method and its Application to a Fractional Diffusion EquationApplied Mathematics and Computation219(11):5909-5917,2013

[65]Jin Zhang, Liquan MeiYaping Chen(SCI 066PR, EI20124815740583), Pointwise estimates of the SDFEM for convection-diffusion problems with characteristic layers, Applied Numerical Mathematics,64:19-34,2013

[64] Liquan Mei, Ke Zhao, Jiatai Ge. A New RBFNN Prediction Model Based On the Affinity Propagation Clustering. The International Conference on Computational Intelligence and Software Engineering, Wuhan,China,2012-12-14,pp:29-32, ISBN: 978-1-61896-036-8.

[63] Yu Jiang, Liquan Mei, Weijun Tian, Huiming WeiSCI089VIEI20131016089498A finite element variational multiscale method based on two local Gauss integrations for stationary Conduction-Convection problemsMathematical Problems in Engineering,paper ID 747391,2012

[62 ]Yu Jiang, Liquan Mei, Xinyu Song, Weijun Tian, Xuemei Ding, Analysis of an Impulsive Epidemic Model with Time Delays and Nonlinear Incidence Rate, Acta Mathematica Scientia,,32A(4)670-684,2012

[61] Liquan Mei, Ye Fang, Changqi YuanEI20122815240396, Rayleigh Quatient Iteration Algorithm for Source Inversion in Neutron Transport Problem, Chinese Journal of Computational Physics,29(3):369-374, 2012

[60] Shimin Guo, Hongli Wang, Liquan MeiSCI966JY,EI20122815232647, (3+1)-dimensional cylindrical Korteweg-de Vries equation for nonextensive dust acoustic waves: Symbolic computation and exact solutions, Physics of Plamas, 19: 063701-1-7,2012

[59] Shimin Guo, Liquan Mei, Exact solutions of space-time fractional variant Boussinesq Equations, Advanced Science Letters, 10: 700-702, 2012

[58] Liquan Mei, Yaping ChenSCI928OPEI20121914996742, Explicit multistep method for the numerical solution of RLW equations, Applied Mathematics and Computation,:218(18):9547-9554,2012. DOI: 10.1016/j.amc.2012.03.050

[57] Liquan Mei, Yaping ChenSCI946VBEI20121814983169, Numerical solutions of RLW equation using Galerkin method with extrapolation techniques, Computer Physics Communications, 183(8):1609-1616,DOI:10.1016/j.cpc.2012.02.029

[56] Liquan Mei, Weigeng Cui, A new regularization method based on the magnitude response function of Chebyshev filter for inverse problems, World Journal of Modelling and Simulation, 8(1):19-26,2012

[55] Yu Jiang, Liquan Mei, Huiming Wei(SCI000PE, EI20123915470395), A stabilized finite element method for transient Navier-Stokes equations based on two local Gauss integrations, International Journal for Numerical Methods in Fluids, 70(6):713-7232012.DOI: 10.1002/fld.2708

[54] Ying Li, Liquan Mei(ISI IDS BCL51,EI20121314910236), A Ranging Algorithm Based on Binocular Real-Time Video Monitoring Advances in Intelligent and Soft Computing, 2012, Volume 143/2012, 491-498, DOI: 10.1007/978-3-642-27966-9_67

[53] Shimin Guo, Liquan Mei, Ying Li, Youfa Sun(SCI883BJ)The improved fractional sub-equation method and its applications to the space-time fractional differential equations in fluid mechanics Physics Letters A376(4): 407-411,2012, DOI:10.1016/ j.physleta.2011.10.056

[52] Shimin Guo, Liquan Mei, Ye Fang, Zhiyu Qiu(SCI890GY)Compacton and solitary pattern solutions for nonlinear dispersive KdV-type equations involving Jumarie’s fractional derivativePhysics Letters A376(3): 158-164,2012, DOI:10.1016/j.physleta.2011.11.013

[51] Jian Li, Liquan Mei, Zhangxin Chen(SCI860BT,EI20114814562609),Superconvergence of a stabilized finite element approximation for the Stokes equations using a local coarse mesh L2 projection,Numerical Methods for Partial Differential Equations28(1):115-126,2012.

[50] Yu Jiang , Liquan Mei, Xinyu Song(SCI784RP, EI20112214025377), Global analysis of a delayed epidemic dynamical system with pulse vaccination and nonlinear incidence rate, Applied Mathematical Modelling, 35:4865-48762011.

[49] Shimin Guo, Liquan Mei,(SCI714BM) The fractional iteration method using He’s polynomials, Physics Letter A, 375:309-313,2011.

[48] Shimin Guo, Liquan Mei, Yubin Zhou, Chao LiSCI726AX, EI20110913707110, The extended Riccati equation mapping method for variable-coefficient diffusion-reaction and mKdV equations, Applied Mathematics and Computation, 217:6264-6272, 2011.

[47] Liquan Mei, Shujuan Zhang, Zhiliang ZhouEI20104613375744, The Coupling Method of Solution Path and Simulated Annealing for Similarity Analysis of Structural Acoustic-Vibration Systems, 2010 Sixth International Conference on Natural Computation (ICNC 2010),2010

[46] Yinnian He, Liquan Mei, Yueqiang Shang, Juan CuiSCI603APEI20102312982699,Newton Iterative Parallel Finite Element Algorithm for Steady Navier-Stokes Equations, J. of Scientific Computing, 44:92-106,2010.

[45] Wang Lizhou, Mei Liquan, The existence of positive solutions for Volterra-Lotka cooperating model with diffusion, Chin. Quart. J. of Math., 25(4):522-529, 2010.

[44] Yu JiangH.Wei, X.Song, Liquan Mei( SCI 448OK , EI20092212096433), Global Attractivity and Permanence of a delayed SVEIR Epidemic Model with Pulse vaccination and saturation incidenceApplied Mathematics and Computation, 213:312-321,2009.

[43] Liquan MeiSCI IDS282UD,EI080911127587, Data Analysis for Parallel Car-Crash Simulation Results and Model Optimization . Simulation Modelling Practice and Theory,16(3):329-337,2008

[42] Yanren Hou, Liquan MeiSCI IDS 279JT,EI081511196689, Full discrete two-level correction scheme for Navier-Stokes equations, J. of Computational Mathematics, 26(2):209-226, 2008.

[41] Liquan Mei, Peipei Cheng(EI084911753159, ISTP IDS BIH57), Maltivariate Option Pricing Quasi-interpolation on Radial Basis Function, Lecture Notes on Comp. Sci 5226:648-655,2008.

[40] Liquan Mei,Shujuan ZhangEI084111630401ISTP IDS BIK84, A New Weighted Support Vector Machine for Regression and Its Parameter Optimization, LNAI 5227:597-604,2008.

[39] Liquan Mei, Shujuan Zhang, Peipei Cheng(ISTP IDS BGL58), The numerical solutions for Navier-Stokes equations by GPU, Proceedings of Inter. Sympo. On Computer Science and technology, 2007:540-544, Ningbo, China, The American Scholars Press,ISBN 978-0-9721-479-0-3..

[38] Xinlong FengLiquan Mei Guoliang He(SCI179ZDEI072010602167),An efficient algorithm for solving Troesch’s problem, J. AMC, 189500-507, 2007

[37] Liquan MeiSCI IDS 100AV)(EI 063610097702),Multigrid Algorithms for Solving Multi-Group Neutron Transport Equations,J. of Applied Mathematics and Computation,1792):473-4832006。

[36] Jian Li, Liquan Mei,Yinnian HeSCI IDS164EGEI 064610237819 ,An Pressure-Poisson Stablized Finite Element Method for the Non-stationary Stokes Circument the Inf-sup condition, J. of Applied Mathematics and Computation, 182(1): 24-35, 2006

[35] Yinnian He, Aiwang Wang, Liquan Mei(SCI IDS 942VW, EI 05259167866) ,Stabilized finite-element method for the stationary Navier-Stokes equations, J. OF Engineering Mathematics, Vol. 51 (4): 367-380,2005.

[34] Liquan Mei, C.A. Thole(ISTP IDS BBR95) Clustering algorithms for parallel car-crash simulation analysis International Conference on High Performance Scientific Computing, MAR 10-14, 2003,MODELLING, SIMULATION AND OPIMIZATION OF COMPLEX PROCESSES : 331-340, 2005.

[33] Liquan Mei, C.A.Thole(ISTP IDS BCY06) Uncertainty Analysis for Parallel Car-Crash Simulation Results, Proceedings of the International Conference on High Performance Computing and Applications, Aug.,2004, Current Trends in High Performance Computing and Its Applications: 393-398, ISBN 3-540-25785-3, Springer, 2005.

[32] C.A.Thole, Liquan Mei, Reasons for scatter in crash simulation results, NAFEMS Seminar, Use of Stochastics in FEM Analysis, May, 2003, Wiesbaden, Germany.

[31] YN He, YR Hou, Liquan Mei, (SCI IDS 499QD),Global finite element nonlinear Garlerkin method for the penalized Navier-Stokes equations, J. Of Comp. Math., Vol.19(2):607-616, 2001.

[30] Mei Liquan, (SCI IDS 247 WU)(EI 2003430) A Spectral Streamline Diffusion Finite Element Coupling Method of Unsteady Transport Equation in the field of Neutron Logging, Applied Mathematics and Mechanics, Vol.20(7):739-749,1999.

[29] Liquan Mei, Aixiang Huang, The Coupling Method of Spectral Method and Streamline Diffusion FEM for Neutron Transport Equation, International Conference for High Performance Scientific Computing, Jun.1998. Bifurcation Theory & its Numerical Analysis, pp:145-155. Springer,1999.

[28] Jiang YuMei liquan, Song XinyuTian WeijunDing XuemeiAnalysis of an Impulsive Epidemic Model with Time Delays and Nonlinear Incidence Rate, ACTA Mathematica and Scientia32A(2): , 2012

[27] Mei LiquanFang YeYuan ChangqiRayleigh quotient iteration algorithm for scource inversion of neurton transport problem, Chinese Journal of Computational Physics29(2)109-1142012

[26] Mei LiquanYuan ChangqiThe corresponding relationship of equations with deifferent boundary conditions, Chinese Journal of Applied Mechanics, 274):716-720,2010.

[25]Mei LiquanCui Weigeng, TSVD regularization method for area load reconstruction, Chinese Journal of Applied Mechanics271):140-144,2010.

[24]Meng MinMei liquanFinite element simulation of the transonic-supersonic inviscid circleflow field and MHD flow field, Progress Report on China Nuclear Science & Technology, Vol.1,113-118,2009.

[23]Mei liquanZhang Ming, Huang AixiangLocal Fourier analysis of multigrid algorithm for neutron transport equation, Numerical Mathematics A Journal of Chinese University, 311:32-41,2009.

[22]Mei LiquanDing XueMeiZhang ShujuanSimilarity analysis and prediction for data of structural acoustic and vibration, Progress Report on China Nuclear Science & Technology, Vol.1163-167,2009

[21]Mei liquan, Cheng Peipei, Quasi-radial basis functions method and its applications in risk measure of corporate bonds, Mathematics in Economics, 251, 19-23, 2008.

[20]Mei LiquanLi NaichengEI072210627497Inverse power method for source term inversion in neutron transport equation, Journal of Xi’an Jiaotong University, 41(4):493-4962007

[19]Mei LiquanZhang WeijunDong Hui, Cheng Peipei, Mixed finite element method for fourth order elliptic partial differential equations with variable coeddicients, Contemporary Academic Research,710):15-182007

[18]Mei LiquanZhang MingLocal Fourier analysi of multigrid for anisotropic elliptic equations, Chinese Journal of Engineering Mathematics, 23(5):787-795,2006.

[17]Mei LiquanLi Rui Li ZhiEI 06259949053, Numerical soluions of partial differential equations for trivariate option pricing, Journal of Xi’an Jiaotong University, 40(4)484-487, 2006.

[16]Liquan Mei, C.A.Thole, (EI02397111758)Instability analysis for car-crash simulation, Chinese Journal of Engineering Mathamatics ,Vol.19(2):47-51,56, 2002.

[15]Mei Liquan,Huang Aixiang, Discontinous Finite element method for Boltzmann Equation, Journal of Xi’an Jiaotong University, 34(1),93-96,2000.

[14]Mei Liquan, Wang Lizhou, Symmetric Taylor Vortex Flow between Two Concentric Rotating Spheres, Chinese Journal of Computational Physics, 17(6),707-711, 2000.

[13]Mei Liquan,A coupled method of spectral and streamline diffusion for transport equation and applications to neutron well-logging, Journal of Numerical Methods and Computer Applications,21(1),33-40,2000.

[12]Mei Liquan,Wang Weidong,Huang Aixaing, (EI 00045121379)Numerical Simulation of Bypass Flow over a Rearward Step on Cylinder Using Domain Decomposition Finite Element MethodJOURNAL OF COMBUSTION SCIENCE AND TECHNOLOGY, Vol.5(3):288-291,1999.

[11]Mei LiquanSpectral finite element method for unsteady Boltzmann equationApplied Mathematics A Journal of Chinese University14B(4), 381-388, 1999.

[10]Li Fei,Mei LiquanThe Coupl ing Method of Spectral and Discontinuous Streamline Diffusion Method for Transport Equation, MATHEMATICA APPLICATA, 12(4),15-20,1999

[9] Mei Liquan, Huang Aixiang Spectral finite element method of transportequation for neutron logging problem, Chinese Journal of Computational Physics, 15(1)107—113,1998

[8] Weibing Feng, Mei LiquanNumerical Simulation of Flow Between Concentric Rotating Spheres, Chinese Journal of Computational Physics15(2), 218—224,1998.

[7] Zhang YindiMei LiquanThe Numerical Calculation for Gamma-rays response functions of Dectetor, Xi’an Gong Xue Yuan Xue Bao, 4:66-69,1998.

[6] Mei liquan, Shi Ruimin, Huang AixiangEI-98084349978Coupling Method of Spectral and Finite Element Method for Neutron Transport Equation, Chinese Journal of Engineering Mathamatics15(2)44-51 ,1998

[5] Mei Liquan, Huang AixaingEI-99084735959Numerical Computation of NaI Dectetor Response Functions for GAMMA-RAYS in C/O Neutron Logging, HIGH POWER LASER AND PARTICLE BEAMS10(4), 543-546,1998.

[4] Mei Liquan,Huang Qing HuaiEI97013499016The Numerical Simulation of 3-D Flow in the Chamber of Solid Propellant Rocket Motor, Journal of Combustion Science and Technology, 2(3), 256—259,1996.

[3] Mei Liquan, Wang Weidong Microcomputerized for large computing fluid analysis program and its applications, Chinese Journal of Computational Physics, 13(1), 112-115,1996.

[2] Mei Liquan, Huang QinghuaiEI-96013010090Study and numerical simulation of ND-doped single-model fiber lasers, HIGH POWER LASER AND PARTICLE BEAMS,7(3), 388-392 ,1995

[1] Mei Liquan, Wang Weidong, EI-95062757685Microcomputerized for large computing fluid analysis program and its applications, Journal of Xi’an Jiaotong University, 29(2), 125-126 ,1995