![李若[北大教授]](/img/8/e26/nBnauM3XxgzM3AjNwEzNyQzM5ITM5IDM1QjMwADMwAzMxAzLxczLwEzLt92YucmbvRWdo5Cd0FmLzE2LvoDc0RHa.jpg "李若[北大教授]")
人物信息
導師姓名：李若
所在高校：北京大學
所在院系：數學科學學院科學與工程計算系
職稱：副教授
學歷：博士
導師類別：碩士生導師
研究領域：偏微分方程數值解、自適應網路方法及其套用
教育經歷
1991.9-1996.7，北京大學數學科學學院理學學士；
1996.9-1998.7，北京大學數學科學學院理學碩士；
1998.9-2001.7，北京大學數學科學學院理學博士；
工作經歷
2001.7-2002.1，PKU-HKBUJRIAM訪問學者；
2002.1-2003.1，UniversityofKentatCanterbury,UK博士後研究；
2003.1-2003.8，北京大學數學科學學院講師；
2003.8-現在，北京大學數學科學學院副教授；
2005.2-2006.1，加州理工學院訪問學者。
研究方向
移動格線方法及其套用：二維發展方程；二維靜態問題；三維發展方程；移動格線方法最新進展。
最優控制問題的理論和算法：分散式橢圓型最優控制問題；分散式拋物型最優控制問題；參數估計問題。
套用流體計算。
雜七雜八：使用元胞自動機模擬晶體生長；薄膜的取向生長問題；p-Laplacian的數值求解算法。
學術成果
著作
張林波，遲學斌，莫則堯，李若編著，《並行計算導論》，清華大學出版社，2006。
論文
R.Li,T.TangandP.-W.Zhang,MovingMeshMethodsinMultipleDimensionsBasedonHarmonicMaps,JournalofComputationalPhysics170,562-588(2001),
R.Li,T.TangandP.-W.Zhang,AMovingMeshFiniteElementAlgorithmforSingularProblemsinTwoandThreeSpaceDimensions,JournalofComputationalPhysics177,365-393(2002),
R.Li,W.-B.LiuandH.-P.Ma,MovingMeshFiniteElementApproximationsforVariationalInequalityI:StaticObstacleProblem,JournalofScientificComputing,21(1),pp.31-55(2003),
R.Li,W.-B.Liu,T.TangandP.-W.Zhang,MovingMeshFiniteElementMethodsBasedonHarmonicMaps,Proc.of2ndIntl.WorkshoponSci.Comput.andAppl.(P.MinevandY.Lineds),2001,pp.143-156,
R.Li,W.-B.Liu,H.-P.MaandT.Tang,AdaptiveFiniteElementApproximationsforDistributedOptimalControlProblems,SIAMJournalonControlandOptimization,41:pp.1321-1349(2002),
Q.Du,D.-Z.Li,Y.-Y.Li,R.LiandP.-W.Zhang,SimulatingaDoubleCastingTechniqueUsingLevelSetMethod,ComputationalMaterialsScience,22,200-212,2001,
Y.-N.Di,R.Li,T.TangandP.-W.Zhang,MovingMeshFiniteElementMethodsfortheIncompressibleNavier-StokesEquations,SIAMJournalonScientificComputing,26(2005),1036-1056,
D.-M.Li,R.LiandP.-W.Zhang,ANewCoupledModelforAlloySolidification,ScienceinChinaSeriesA-Mathematics47:41-52Suppl.SApr2004,
R.Li,C.LuoandP.-W.Zhang,NumericalSimulationofDoiModelofPolymericFluids,Adv.inSci.Comput.&Appl.(Y.Lu,W.SunandT.Tangeds),2004,pp258-273.
R.Li,onMulti-Mesh$h$-AdaptiveAlgorithm,JournalofScientificComputing24(3),2005,pp.321-341,
R.LiandT.Tang,MovingMeshDiscontinuousGalerkinMethodforHyperbolicConservationLaws,JournalofScientificComputing,27,2006,pp.347-363,
J.Deng,T.Y.Hou,R.LiandX.-W.Yu,Levelsetdynamicsandthenon-Blowupofthe2Dquasi-geostrophicequation,MethodsandApplicationsofAnalysis32(2),2006,157-180
Y.-N.Di,R.Li,T.TangandP.-W.Zhang,Movingmeshmethodsforsingularproblemsonasphereusingperturbedharmonicmappings,SIAMJournalonScientificComputing,28(2006),pp1490-1508,
T.Y.HouandR.Li,Dynamicdepletionofvortexstretchingandnon-blowupofthe3DincompressibleEulerequations,JournalofNonlinearScience,16(6),639-664,2006.doi:10.1007/s00332-006-0800-3.
Y.-N.Di,R.Li,T.TangandP.-W.Zhang,Levelsetcalculationsforincompressibletwo-phaseflowsonadynamicallyadaptivegrid,JournalofScientificComputing,31(2007),1-2,pp75-98,doi:10.1007/s10915-006-9119-3,download.
T.Y.HouandR.Li,ComputingNearlySingularSolutionsUsingPseudo-SpectralMethods,JournalofComputationalPhysics,226,379-397,2007
D.-M.Li,R.LiandP.-W.Zhang,ACellularAutomatonTechniqueforModellingofaBinaryDendriticGrowthwithConvection,AppliedMathematicalModelling,31(2007),pp971-982.doi:10.1016/j.apm.2006.04.004.
T.Y.HouandR.Li,NonexistenceofLocalSelf-SimilarBlow-upforthe3DIncompressibleNavier-StokesEquations,DiscreteandContinuousDynamicalSystems,SeriesA,18(4),637-642,2007.
Y.-Q.Huang,R.LiandW.-B.Liu,PreconditionedDescendingAlgorithmsfor$p$-Laplacian,JournalofScientificComputing32(2),2007,342-371
H.-Y.WangandR.Li,Meshsensitivityfornumericalsolutionsofphase-fieldequationsusingr-adaptivefiniteelementmethods,CommunicationsinComputationalPhysics3(2),2008,357-375
R.Li,W.-B.LiuandN.-N.Yan,APosterioriErrorEstimatesofRecoveryTypeforDistributedConvexOptimalControlProblems,JournalofScientificComputing33(2),November2007,155-182
Y.-N.Di,R.LiandT.Tang,AGeneralMovingMeshFrameworkin3DandItsApplicationforSimulatingtheMixtureofMulti-PhaseFlows,CommunicationsinComputationalPhysics3(3),2008,582-602
R.Li,X.WangandW.-B.Zhao,AMultigridBlockLU-SGSAlgorithmforEulerEquationsonUnstructuredGrids,CommunicationsinNumericalMathematics:Theory,MethodsandApplications1(1),2008,92-112
T.Y.HouandR.Li,BlowuporNoBlowup?TheInterplaybetweenTheoryandNumerics,PhysicsD,publishedonlineJan.25,2008,DOI:10.1016/j.physd.2008.01.018.
H.-Y.Wang,R.LiandT.Tang,AnEfficient$r$-adaptiveFiniteElementMethodforPhaseFieldModelofDendriticGrowth,JournalofComputationalPhysics,2008,vol227,pp.5984-6000,doi:10.1016/j.jcp.2008.02.016
W.Gong,R.Li,N.-N.YanandW.-B.Zhao,Animprovederroranalysisforfiniteelementapproximationofbioluminescencetomography,JournalofComputationalMathematics26(3),2008, pp.297-309
