个人简历

个人简介
安娜，女，中共党员，计算数学博士，讲师，硕士生导师。近年来致力于具间断扩散系数的界面问题及分数阶偏微分方程数值模拟方面的研究，获得一些基础性研究成果。在AppliedMathematicsandComputation、ComputersandMathematicswithApplications、NumericalMethodsforPartialDifferentialEquations等国际期刊发表SCI收录论文10余篇。主持国家级科研项目1项，校级科技项目培育基金1项。
研究兴趣
辐射扩散方程组；具间断扩散系数的界面问题；分数阶偏微分方程
招生方向
硕士研究生招生专业：计算数学
开设课程
计算方法；数值代数；高等数学
科研项目
1.国家自然科学基金青年项目：辐射扩散方程的高精度局部间断Galerkin方法研究(2019.01-2021.12)主持
2.山东师范大学青年科技项目培育基金：三角形网格上抛物界面问题的间断有限元方法研究(2018.01-2019.12)主持

研究领域

计算数学；偏微分方程数值计算

近期论文

1.N.An,C.B.Huang*,X.J.Yu,ErroranalysisofdiscontinuousGalerkinmethodforthetimefractionalKdVequationwithweaksingularitysolution,DiscreteandContinuousDynamicalSystems-SeriesB,2020,25(1):321-334.
2.C.B.Huang,N.An*,X.J.Yu,AlocaldiscontinuousGalerkinmethodfortime-fractionaldiffusionequationwithdiscontinuouscoefficient,AppliedNumericalMathematics,2020,151:367-379.
3.J.C.Ren,C.B.Huang*,N.An,DirectdiscontinuousGalerkinmethodforsolvingnonlineartimefractionaldffusionequationwithweaksingularitysolution,AppliedMathematicsLetters,2020,102:106111.
4.N.An,C.B.Huang*,X.J.Yu,ErroranalysisofdirectdiscontinuousGalerkinmethodfortwo-dimensionalfractionaldiffusion-waveequation,AppliedMathematicsandComputation,2019,349:148-157.
5.N.An*,C.B.Huang,X.J.Yu,LDGmethodsforreaction-diffusionsystemswithapplicationofKrylovimplicitintegrationfactormethods,TaiwaneseJournalofMathematics,2019,23(3):727-749.
6.C.B.Huang*,N.An,X.J.YuandH.L.Zhang,AdirectdiscontinuousGalerkinmethodfortime-fractionaldiffusionequationwithdiscontinuousdiffusivecoefficient,ComplexVariablesandEllipticEquations,DOI:10.1080/17476933.2019.1655552,2019.
7.C.B.Huang,M.Stynes*,N.An,OptimalL∞(L2)erroranalysisofadirectdiscontinuousGalerkinmethodfortime-fractionalreaction-diffusionproblem,BITNumericalMathematics,2018,58(3):661-690.
8.C.B.Huang*,N.An,X.J.Yu,AfullydiscretedirectdiscontinuousGalerkinmethodforthefractionaldiffusion-waveequation,ApplicableAnalysis,2018,97(4):659-675.
9.N.An*,X.J.Yu,C.B.Huang,LocaldiscontinuousGalerkinmethodsforparabolicinterfaceproblemswithhomogeneousandnon-homogeneousjumpconditions,ComputersandMathematicswithApplications,2017,74(10):2572-2598.
10.N.An*,X,J.Yu,H.Z.Chen,C.B.Huang,Z.Y.Liu,ApartiallypenaltyimmersedCrouzeix-Raviartfiniteelementmethodforinterfaceproblems,JournalofInequalitiesandApplications,2017,2017(1):186.
11.N.An,X.J.Yu*,C.B.Huang,M.C.Duan,LocaldiscontinuousGalerkinmethodsforreaction-diffusionsystemsonunstructuredtriangularmeshes,PartoftheLectureNotesinComputerSciencebookseries(LNCS,volume10187),2017:172-179.
12.N.An,X.J.Yu*,C.B.Huang,M.C.Duan,LocaldiscontinuousGalerkinmethodscoupledwithimplicitintegrationfactormethodsforsolvingreaction-cross-diffusionsystems,DiscreteDynamicsinNatureandSociety,2016,5345032(1-18).
13.N.An,H.Z.Chen,X.J.Yu,C.B.Huang,AnimmersedCrouzeix-Raviartfiniteelementmethodforanisotropicflowmodelsinporousmedia,NumericalMathematics:AJournalofChineseUniversities,2016,38(1):24-41.
14.NaAn,H.Z.Chen*,Apartiallypenaltyimmersedinterfacefiniteelementmethodforanisotropicellipticinterfaceproblems,NumericalMethodsforPartialDifferentialEquations,2014,30(6):1984-2028.
现为美国数学评论和德国数学文摘的评论员，TCCT逻辑系统控制学组的秘书长、随机系统控制学组委员。曾担任IETControlTheory&Applications、ScienceChinaInformationSciences等期刊的客座编委。