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个人简介

安徽亳州人,理学博士,直聘副教授,硕士研究生导师,2017年6月毕业于华中科技大学数学与统计学院,并获得博士学位;2017年7月入职郑州大学;2018年1月-2020年1月,博士后科研流动站 科研项目: 1.国家自然科学基金青年项目,11801527,几类分数阶偏微分方程的虚拟有限元方法,2019/01-2021/12,在研,主持 2.第63批中国博士后科学基金面上项目,2018M632791,几类非线性时间分数阶模型的高精度无网格比有限元方法,2019/01-2020/12,在研,主持 3.省科技厅项目,19A110034,分数阶Ginzburg-Landau方程的快速有限元方法研究,2019/01-2020/12,在研,主持 4.国家自然科学基金面上项目,11771163,几类带非局部特征刚性问题的高效数值算法及其理论分析,2018/01-2021/12,在研,参加 5.国家自然科学基金面上项目,11671160,谱插值与谱展开的快速算法与分析,2017/01-2020/12,在研,参加 获奖情况: 2016年博士研究生国家奖学金科研主页: https://www.researchgate.net/profile/Meng_Li256 https://mathscinet.ams.org/mathscinet/MRAuthorID/1050087

研究领域

研究方向: 虚拟元方法、有限元方法、有限差分方法、谱方法、配置方法;分数阶偏微分方程数值解

近期论文

查看导师最新文章 (温馨提示:请注意重名现象,建议点开原文通过作者单位确认)

(1)MengLi#,XianmingGu*,ChengmingHuang,etc,AfastlinearizedconservativefiniteelementmethodforthestronglycouplednonlinearfractionalSchrödingerequations,JournalofComputationalPhysics,2018,358:256-282. (2)MengLi#,DongyangShi*,JunjunWang,UnconditionalsuperconvergenceanalysisofalinearizedCrank–NicolsonGalerkinFEMforgeneralizedGinzburg–Landauequation,ComputersandMathematicswithApplications,2019, Doi:10.1016/j.camwa.2019.11.008. (3)MengLi#,ChengmingHuang*,Yong-liangZhao,FastconservativenumericalalgorithmforthecoupledfractionalKlein-Gordon-Schrödingerequation,NumericalAlgorithms,2019,DOI:10.1007/s11075-019-00793-9. (4)MengLi#,JikunZhao*,ChengmingHuang,ShaochunChen,Nonconformingvirtualelementmethodforthetimefractionalreaction-subdiffusionequationwithnon-smoothdata,JournalofScientificComputing,2019,DOI:10.1007/s10915-019-01064-4. (5)MengLi#,DongyangShi*,JunjunWang,WanyuanMing,UnconditionalsuperconvergenceanalysisoftheconservativelinearizedGalerkinFEMsfornonlinearKlein-Gordon-Schr{\"o}dingerequation,AppliedNumericalMathematics,,2019,142:47-63. (6)MengLi#,Yong-liangZhao*,AfastenergyconservingfiniteelementmethodforthenonlinearfractionalSchrödingerequationwithwaveoperator,AppliedMathematicsandComputation,2018,338(1),758-773. (7)MengLi#,ChengmingHuang*,WanyuanMing,Arelaxation-typeGalerkinFEMfornonlinearfractionalSchrödingerequations,NumericalAlgorithms,2019,DOI:10.1007/s11075-019-00672-3. (8)MengLi#,ChengmingHuang*,AnefficientdifferenceschemeforthecouplednonlinearfractionalGinzburg-LandauequationswiththefractionalLaplacian,NumericalMethodsforPartialDifferentialEquations,2019,35(1),394-421. (9)MengLi#*,Ahigh-ordersplit-stepfinitedifferencemethodforthesystemofthespacefractionalCNLS,TheEuropeanPhysicalJournalPlus,2019,134:244. (10)MengLi#,ChengmingHuang*,PengdeWang,GalerkinfiniteelementmethodfornonlinearfractionalSchrödingerequations,NumericalAlgorithms,2017,74(2):499-525. (11)MengLi#,ChengmingHuang*,NanWang,GalerkinfiniteelementmethodfornonlinearfractionalGinzburg-Landauequation,AppliedNumericalMathematics,2017,118:131-149. (12)MengLi#*,ChengmingHuang,FengzeJiang,Galerkinfiniteelementmethodforhigherdimensionalmulti-termfractionaldiffusionequationonnon-uniformmeshes,ApplicableAnalysis,2017,96(8):1269-1284. (13)MengLi#*,ChengmingHuang,ZongbiaoZhang,UnconditionalerroranalysisofGalerkinFEMsfornonlinearfractionalSchrödingerequation,ApplicableAnalysis,2018,97(2):295-315. (14)MengLi#,ChengmingHuang*,WanyuanMing,Mixedfiniteelementmethodformulti-termtime-fractionaldiffusionanddiffusion-waveequations,Computational&AppliedMathematics,2018,37(2),2309–2334. (15)MengLi#*,ChengmingHuang,ADIGalerkinFEMsforthe2Dnonlineartime-spacefractionaldiffusion-waveequation,InternationalJournalofModeling,Simulation,andScientificComputing,2017,1750025. (16)ZhangZongbiao#,LiMeng*,WangZhongchi,AlinearizedCrank-NicolsonGalerkinFEMsforthenonlinearfractionalGinzburg–Landauequation,ApplicableAnalysis,2018,DOI:10.1080/00036811.2018.1469008(通讯作者). (17)MingWanyuan#,HuangChengming*,LiMeng,SuperconvergenceincollocationmethodsforVolterraintegralequationswithvanishingdelays,JournalofComputational&AppliedMathematics,2016,308:361-378. (18)ZhangGuoyu#,HuangChengming*,LiMeng,Amass-energypreservingGalerkinFEMforthecouplednonlinearfractionalSchrödingerequations,EuropeanPhysicalJournalPlus,2018,133(4):155. Recentreports: (1)Structure-preservingFEMsforsometypesofnonlinearSchr{\"o}dingerequations,13thNationalCongressoftheChineseMathematicalSociety,Foshan,China,2019.11. (2)Nonconformingvirtualelementmethodforthefourth-ordertimefractionalreaction-subdiffusionequationwithnon-smoothdata,InternationalWorkshoponNumericalAnalysisandApplicationsofFractionalDifferentialEquations,Sanya,China,2019.11. (3)Nonconformingvirtualelementmethodforthetimefractionalreaction-subdiffusionequationwithnon-smoothdata,ChineseAnnualsofComputationalMathematics,Haerbin,China,2019.8. (4)AfastlinearizedconservativefiniteelementmethodforthestronglycouplednonlinearfractionalSchr{\"o}dingerequations,ChineseAnnualsofComputationalMathematics,Xi'an,China,2017.7.

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