个人简介
工作经历
2014.9-至今,上海师范大学数学系,副教授
2014.9-2015.9,UniversityofManitoba,Canada,VisitingResearcher
2010.7-2014.8,上海师范大学数学系,讲师
教育经历
2007.9-2010.6,上海师范大学,计算数学专业,博士
2004.9-2007.6,湖南师范大学,基础数学专业,硕士
2000.9-2004.6,湖南师范大学,数学与应用数学专业,学士
研究领域
hp有限元方法及其应用;谱方法及其应用;积分微分方程和时滞微分方程的高精度方法
主持项目
1.国家自然科学基金面上项目,积分微分方程的hp时间步进法及其自适应算法,No.11771298,2018.1-2021.12,在研.
2.上海师范大学“原创与前瞻性预研项目”,非线性时滞积分微分方程的hp有限元方法,No.DYL201703,2017.1-2018.12,已结题.
3.国家自然科学青年基金,非线性发展方程的时空高精度谱配置算法,No.11301343,2014.1-2016.12,已结题.
4.国家自然科学数学天元基金,非线性时滞微分方程的谱配置方法研究,No.11226330,2013.1-2013.12,已结题.
5.高等学校博士点新教师类基金,多面体区域上椭圆边值问题的h-p型有限元方法研究,No.20113127120002,2012.1-2014.12,已结题.
6.上海高校青年教师培养资助计划资助项目,多面体区域上h-p型有限元方法研究,No.shsf018,2011.12-2014.6,已结题.
7.上海师范大学校一般科研项目,h-p型有限元方法的后验误差估计,No.SK201117,2011.1-2012.12,已结题
近期论文
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34.QianTongandLijunYi*,Anhp-versionoftheLegendre-Gauss-Radaucollocationmethodfornonlinearsecondorderinitialvalueproblems,inpreparation.
33.BenqiGuoandLijunYi*,LocalChebyshevoperatorandapplicationtotheh-pversionofthefiniteelementmethodforproblemswithnonhomogeneousDirichletboundaryconditions,preprint.
32.ShuangshuangLiandLijunYi*,Anhp-versionoftheC^0-continuousPetrov-Galerkinmethodforsecond-orderVolterraintegro-differentialequationswithweaklysingularkernels,preprint.
31.LinaWangandLijunYi*,Anh-pversionofthediscontinuousGalerkinmethodforVolterraintegralequationswithweaklysingularkernels,preprint.
30.YichenWeiandLijunYi*,Anhp-versionoftheC^0-continuousPetrov-Galerkintime-steppingmethodfornonlinearnonlinearsecond-orderdelaydifferentialequations,preprint.
29.YichenWeiandLijunYi*,Anhp-versionoftheC^0-continuousGalerkintime-steppingmethodfornonlinearsecond-orderinitalvalueproblems,AdvancesinComputationalMathematics,underrevision.
已发表论文
28.LinaWang,LijunYi*andHongliJia,Anh-pversionoftheChebyshevspectralcollocationmethodforVolterraintegro-differentialequationswithvanishingdelays,JournalofIntegralEquationsandApplications,toappear.
27.LingGuoandLijunYi*,AstochasticcollocationmethodforVolterraintegro-differentialequationswithweaklysingularkernelsandrandominputs,InternationalJournalforUncertaintyQuantification,toappear.
26.ShuangshuangLi,LinaWangandLijunYi*,Anhp-versionoftheC^0-continuousPetrov-Galerkinmethodforsecond-orderVolterraintegro-differentialequations,AppliedNumericalMathematics,152(2020),84-104.
25.YichenWei,TaoSunandLijunYi*,Anh-pversionofthediscontinuousGalerkintime-steppingmethodfornonlinearsecond-orderdelaydifferentialequationswithvanishingdelays,JournalofComputationalandAppliedMathematics,364(2020),112348.
24.LinaWangandLijunYi*,Anh-pversionofthediscontinuousGalerkinmethodforVolterraintegro-differentialequationswithvanishingdelays,JournalofScientificComputing,81(2019),2303-2330.
23.JinghuaXieandLijunYi*,Anh-pversionofthecontinuousPetrov-Galerkintimesteppingmethodfornonlinearsecond-orderdelaydifferentialequations,AppliedNumericalMathematics,143(2019),1-19.
22.TingtingMeng,ZhongqingWangandLijunYi*,Anh-pversionoftheChebyshevspectralcollocationmethodfornonlineardelaydifferentialequations,Numer.MethodsPartialDifferentialEquations,35(2019),664-680.
21.LijunYiandBenqiGuo*,Theh-pversionofthecontinuousPetrov-GalerkinmethodfornonlinearVolterrafunctionalintegro-differentialequationswithvanishingdelays,InternationalJournalofNumericalAnalysisandModeling,15(2018),26-47.
20.TingtingMengandLijunYi*,Anh-pversionofthecontinuousPetrov-Galerkinmethodfornonlineardelaydifferentialequations,JournalofScientificComputing,74(2018),1091-1114.
19.LinaWangandLijunYi*,Anh-pversionofthecontinuousPetrov-GalerkinmethodforVolterradelay-integro-differentialequations,AdvancesinComputationalMathematics,43(2017),1437-1467.
18.ZhongqingWang*,YulingGuoandLijunYi,Anhp-versionLegendre-JacobispectralcollocationmethodforVolterraintegro-differentialequationswithsmoothandweaklysingularkernels,MathematicsofComputation,86(2017),2285–2324.
17.LijunYiandZhongqingWang*,ALegendre-Gauss-Radauspectralcollocationmethodforfirstordernonlineardelaydifferentialequations,Calcolo,53(2016),691-721.
16.TaoSun*andLijunYi,AnewGalerkinspectralelementmethodforfourth-orderboundaryvalueproblems,InternationalJournalofComputerMathematics,93(2016),915-928.
15.LijunYi*andBenqiGuo,Anh-pversionofthecontinuousPetrov-GalerkinfiniteelementmethodforVolterraintegro-differentialequationswithsmoothandnon-smoothkernels,SIAMJournalonNumericalAnalysis,53(2015),2677-2704.
14.LijunYi*,AnL^infty-errorestimatefortheh-pversioncontinuousPetrov-Galerkinmethodfornonlinearinitialvalueproblems,EastAsianJ.Appl.Math.,5(2015),301-311.
13.LijunYi*,Anh-pversionofthecontinuousPetrov-GalerkinfiniteelementmethodfornonlinearVolterraintegro-differentialequations,J.Sci.Comput.,65(2015),715-734.
12.LijunYi*andBenqiGuo,Anh-pPetrov-GalerkinfiniteelementmethodforlinearVolterraintegro-differentialequations,Sci.ChinaMath.,57(2014),2285-2300.
11.TaoSunandLijunYi*,APetrov-GalerkinSpectralMethodforFourth-OrderProblems,Math.MethodsAplpl.Sci.37(2014),2257-2270.
10.LijunYiandZhongqingWang*,Legendre-Gauss-typecollocationalgorithmsfornonlinearordinary/partialdifferentialequations,Int.J.Comput.Math.,91(2014),1434-1460.
9.LijunYiandZhongqingWang*,Legendre-Gaussspectralcollocationmethodforsecondordernonlineardelaydifferentialequations,Numer.Math.Theor.Meth.Appl.,7(2014),149-178.
8.LijunYiandZhongqingWang*,Legendrespectralcollocationmethodforsecondordernonlinearordinary/partialdifferentialequations,DiscreteContin.Dyn.Syst.Ser.B,19(2014),299-322.
7.LijunYi,ZiqiangLiangandZhongqingWang*,Legendre-Gauss-Lobattospectralcollocationmethodfornonlineardelaydifferentialequations,Math.MethodsAppl.Sci.,36(2013)2476-2491.
6.BenqiGuo*andLijunYi,LocalChebyshevprojection-interpolationoperatorandapplicationtotheh-pversionofthefiniteelementmethodinthreedimensions,Math.Mod.Meth.Appl.Sci.,23(2013),777-801.
5.LingxiongMeng,HonghuiLiangandLijunYi*,Recoveryforfiniteelementapproximationofaneigenvalueproblemundermixedmesh(inChinese),Commun.Appl.Math.Comput.,27(2013),33–39.
4.TaoSun*andLijunYi,APetrov-Galerkinspectralmethodforfourth-ordermixednonhomogeneousboundaryvalueproblems,Math.Pract.Theory,43(2013),255–260.
3.LijunYi*,Ontheasymptoticexactnessoferrorestimatorsbasedontheequilibratedresidualmethodforquadrilateralfiniteelements,Appl.Numer.Math.,62(2012),1925-1937.
2.LijunYiandBenqiGuo*,A-posteriorierrorestimationfortheLegendrespectralGalerkinmethodinonedimension,Numer.Math.Theor.Meth.Appl.,3(2010),40-52.
1.LijunYiandBenqiGuo*,Superconvergenceoftheh-pversionofthefiniteelementmethodinonedimension,J.Comput.Appl.Math.,233(2009),150-164.
学术兼职
1.中国工业与应用数学学会会员
2.中国仿真学会仿真算法专业委员会会员
3.担任SINUM,SISC,JCP,CiCP,JSC,ANM,M2AS和JCAM等多个SCI期刊的审稿人
4.德国《zbmath》(数学文摘)评论员