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:  lqmei@mail.xjtu.edu.cn
Office:  Room 331, Sciences Building, Xi’an Jiaotong University
 

Research Interests: Numerical Methods for PDEs, Computational Physics, Data Mining.                                          Member of Editorial Board: "American Journal of Computer Science and Information Engineering", "International Journal of Mathematical Analysis and Applications"

 

Education

  • 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
Publications

 

 

 

[93]      Ying Li, Jian Li, Liquan Mei, Yingping Li,  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
[92]      Yanyun Wu; Liquan Mei; Ganshan Yang, Existence of second order smooth solutions for 2D Euler equations with symmetry outside a core region, Boundary Value Problems
[91]      Yali Gao, Liquan Mei, A time-splitting Galerkin finite element method for the Davey-Stewartson equations, Computer Physics Communications
[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 MeiSCI , 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 ChenSCI ,,, 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 MeiSCI , EI20151000592914, Mixed Galerkin finite element methods for modified regularized long wave equation, Applied Mathematics and Computation, (2015) pp. 267-281 

[83]Hailong Qiu, Liquan MeiSCICA8UQ , 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/j.cam.2014.11.045280(2015),80-95

[82] Hailong Qiu, Liquan Mei, Hui Liu, Stephen CartwrightSCICA9WG , 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 MeiSCIAU5JZ , EI201447223037Modulation instability and dissipative rogue waves in ion-beam plasma: Roles of ionization, recombination, and electron attachmentPhysics of Plasmas21112303 (2014)http://dx.doi.org/10.1063/1.4901037

[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 YuanSCI 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 ChenSCI AK1BB, A Galerkin Finite Element Method for Numerical Solutions of the Modified Regularized Long Wave Equation, Abstract and Applied Analysis Article ID 438289, 1-122014

[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 ChenSCI860BTEI20114814562609),Superconvergence of a stabilized finite element approximation for the Stokes equations using a local coarse mesh L2 projectionNumerical 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(Corresponding author)( 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 Equations.to 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

 

 

[93]      Ying Li, Jian Li, Liquan Mei, Yingping Li,  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
[92]      Yanyun Wu; Liquan Mei; Ganshan Yang, Existence of second order smooth solutions for 2D Euler equations with symmetry outside a core region, Boundary Value Problems
[91]      Yali Gao, Liquan Mei, A time-splitting Galerkin finite element method for the Davey-Stewartson equations, Computer Physics Communications
[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 Plasmas22052306 (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 Applications69 (2015) 804816