李猛
副教授 硕士研究生导师
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
学术兼职
美国《数学评论》(MathematicalReviews)评论员
近期论文
(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.