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武汉大学数学与统计学院导师简介-向 华

武汉大学 免费考研网/2015-07-30

向 华
==>个人简介

  姓名:向华

  性别:男

  学历:博士

  专业:计算数学

  地址:武汉大学数学与统计学院,430071,武汉

  Email:hxiang@whu.edu.cn
  教育背景

  ◆2003年9月-2006年6月,复旦大学数学科学学院,计算数学专业博士。

  ◆1999年9月-2002年6月,中国科学院力学研究所,流体力学专业硕士。

  ◆1995年9月-1999年6月,哈尔滨工程大学船舶与海洋工程系,船舶工程专业学士。
  工作经历

  ◆2008年12月至今,武汉大学数学与统计学院,副教授。

  ◆2006年7月–2008年12月,武汉大学数学与统计学院,讲师。

  ◆2009年1月–2009年12月,LaboratoireJacques-LouisLions,UniversitePierreetMarieCurie(巴黎六大),博士后。

  ◆2007年1月–2008年8月,INRIASaclay-IledeFrance(法国国家信息与自动化研究院),博士后。

  ◆2012年8月,2014年1月,香港中文大学数学系,访问教授。

  ◆2011年1月–2011年2月,巴黎六大Lions实验室,访问教授。
  研究论文

  J.Demmel,L.Grigori,M.Gu,H.Xiang,CommunicationavoidingrankrevealingQRfactorizationwithcolumnpivoting,toappearinSIAMJournalonMatrixAnalysis.SeealsoUCB/EECS-2013-46andLAWN276.

  H.Xiang,F.Nataf,Two-levelalgebraicdomaindecompositionpreconditionersusingJacobi–Schwarzsmootherandadaptivecoarsegridcorrections,JournalofComputationalandAppliedMathematics,261(2014),pp.1-13.

  V.Dolean,P.Jolivet,F.Nataf,N.Spillane,H.Xiang,Two-leveldomaindecompositionmethodsforhighlyheterogeneousDarcyequations,Connectionswithmultiscalemethods,Oil&GasScienceandTechnology-Rev.IFPEnergiesnouvelles,Vol.69(2014),No.4,pp.731-752.DOI:10.2516/ogst/**.

  H.Xiang,J.Zou,RegularizationwithrandomizedSVDforlarge-scalediscreteinverseproblems,InverseProblems,29(2013),085008(23pp),doi:10.1088/0266-5611/29/8/085008.

  P.Have,R.Masson,F.Nataf,M.Szydlarski,H.Xiang,T.Zhao,Algebraicdomaindecompositionmethodsforhighlyheterogeneousproblems,SIAMJournalonScientificComputing,35(2013),pp.C284–C302.

  C.Guo,H.Xiang(corresponding),AnoteontheupperboundinSAAMGconvergenceanalysis,NumericalLinearAlgebrawithApplications,online(2013),DOI:10.1002/nla.1879.

  L.Grigori,J.Demmel,andH.Xiang,CALU:acommunicationoptimalLUfactorizationalgorithm,SIAMJournalonMatrixAnalysis,32(2011),pp.1317-1350.SeealsoUCB-EECS-2010-29andLAWN226.

  H.Diao,H.Xiang,Y.Wei,ComponentwiseconditionnumbersofSylvesterandLyapunovequations,NumericalLinearAlgebraanditsApplications,19(4),pp.639-654,2012.DOI:10.1002/nla.790.

  FrédéricNataf,HuaXiang,VictoritaDolean,NicoleSpillane,AcoarsespaceconstructionbasedonlocalDirichlet-to-Neumannmaps,SIAMJ.Sci.Comput.,33(2011),pp.1623-1642.

  FredericNataf,HuaXiang,VictoritaDolean,AtwoleveldomaindecompositionpreconditionerbasedonlocalDirichlet-to-Neumannmaps,C.R.Acad.Sci.Paris,Ser.I,348(2010),pp.1163-1167.

  HuaXiang,LauraGrigori,Kroneckerproductapproximationpreconditionersforconvection–diffusionmodelproblems,Numer.LinearAlgebraAppl.,(17)2010,pp.691–712.

  LauraGrigori,DesireNuentsaWakamb,HuaXiang(corresponding),SavingflopsinLUbasedshift-and-invertstrategy,JournalofComputationalandAppliedMathematics,234(2010),pp.3216–3225.

  L.Grigori,J.Demmel,H.Xiang,CommunicationavoidingGaussianelimination,SC’08,Proceedingsofthe2008ACM/IEEEconferenceonSupercomputing,2008,pp.1-12.

  W.Kang,H.Xiang,Level-2conditionnumbersforleastsquaressolutionofKroneckerproductlinearsystems,InternationalJournalofComputerMathematics,85(2008),pp.827-841.

  H.Xiang,Y.Wei,Onnormwisestructuredbackwarderrorsforsaddlepointsystems,SIAMJournalonMatrixAnalysisandApplications,29(2007),pp.838-849.

  H.Xiang,Y.Wei,Structuredmixedandcomponentwiseconditionnumbersofsomestructuredmatrices,JournalofComputationalAppliedMathematics,202(2007),pp.217-229.

  H.Zhang,H.Xiang,Y.Wei,ConditionnumbersforlinearsystemsandKroneckerproductlinearsystemswithmultipleright-handsides,InternationalJournalofComputerMathematics,84(2007),pp.1805-1817.

  H.Xiang,Y.Wei,H.Diao,Perturbationanalysisofgeneralizedsaddlepointsystems,LinearAlgebraanditsApplications,419(2006),pp.8-23.

  H.Xiang,Anoteonminimaxrepresentationforsubspacedistanceandsingularvalues,LinearAlgebraanditsApplications,414(2006),pp.470-473.

  Q.Liu,H.Xiang,V.P.Singh,Asimulationmodelforunifiedinterrillerosionandrillerosiononhillslopes,HydrologicalProcesses,2006,20(3),pp.469-486.

  W.Kang,H.Xiang,ConditionnumberswiththeirconditionnumbersfortheweightedMoore-Penroseinverseandtheweightedleastsquaressolution,J.Appl.Math.&Computing,22(2006),pp.95-112.

  Q.Liu,V.P.Singh,H.Xiang,PlotErosionModelUsingGrayRelationalAnalysisMethod,J.HydrologicEngineering,2005,10(4),pp.288-294.

  H.Xiang,H.Diao,Y.Wei,OntheperturbationboundsofKroneckerproductlinearsystemsandtheirlevel-2conditionnumbers,JournalofComputationalAppliedMathematics,183(2005),pp.210-231.

  Y.Wei,Y.Cao,H.Xiang,Anoteonthecomponentwiseperturbationboundsofmatrixinverseandlinearsystems,AppliedMathematicsandComputation,169(2005),pp.1221-1236.

  Q.Liu,J.Li,L.Chen,H.Xiang,Overlandflowandsoilerosiondynamics(II):Soilerosion,AdvancesinMechanics,2004,34(4),pp.493-506(inChinese).

  Q.Liu,J.Li,L.Chen,H.Xiang,Overlandflowandsoilerosiondynamics(I):Overlandflow,AdvancesinMechanics,2004,34(3),pp.360-372(inChinese).

  Z.Gao,H.Xiang,Y.Shen,Perturbationfinitevolumemethodandhighprecisionreconstruction,ComputationalPhysics,2004,21(2),pp.131-136(inChinese).

  H.Xiang,Q.Liu,J.Li,InfluencesofSlopeSurfaceConditionsontheRunoffGeneration,JournalofHydrodynamics,seriesA,2004,19(6),pp.774-782(inChinese).
  InSubmission

  HailunShen,HuaXiang(corresponding),AdaptiveUzawaalgorithmfornonsymmetricgeneralizedsaddlepointproblem,arXiv:1408.5550.

  KazufumiIto,HuaXiang,JunZou,AnInexactUzawaalgorithmforgeneralizedsaddle-pointproblemsanditsconvergence,arXiv:1408.5547.

  PengpengXie,YiminWei,HuaXiang(corresponding),Perturbationanalysisandrandomizedalgorithmsforlarge-scaletotalleastsquaresproblems,arXiv:1401.6832.
  Books

  X.F.Zou,S.L.Chen,B.Q.Hu,H.Xiang,TheExerciseGuidebookonNumericalAnalysis(inChinese),whichhelpsthestudentsstudynumericalanalysis.(responsiblefortwochapters:thenonlinearequation,andtheordinarydifferentialequation).WuhanUniversityPress,2008.

  H.Xiang,D.M.Li,NumericalAnalysiswithEngineeringApplications(inChinese),toappearinTsinghuaUniversityPress.
  Teaching

  Calculus,Linearalgebra,Computationalmethods,Numericalanalysis,Numericalexperiments,Numericallinearalgebra.
  Conferences

  *Communication-avoidingmatrixalgorithmsusingtournamentpivoting(jointworkwithJamesW.Demmel,LauraGrigori,andMingGu),Aposteronthe5thInternationalConferenceonNumericalAlgebraandScientificComputing(NASC2014),TongjiUniversity,Shanghai,P.R.China,October25-29,2014.

  *AcommunicationoptimalLUdecomposition,May3-14,2010,CIMPAUNESCOThematicSchool,Wuhan,P.R.China(invitedspeaker).

  *ParallelsparseLUfactorizationwithcommunicationavoidingpivotingstrategy,atalkgivenintheseminaratRICAM(JohannRadonInstituteforComputationalandAppliedMathematics,AustrianAcademyofSciences),July22,2008,Linz,Austria.
  *AlowlatencyapproachforparallelsparseLUfactorization,SIAMConferenceonParallelProcessingforScientificComputing(PP08),March12-14,2008,Atlanta,Georgia,USA.

  *CommunicationavoidingdenseQRandLUdecompositions,MatrixAnalysisandApplications(M2A07,inhonorofGérardMeurantforhis60thbirthday),October15-19,2007,CIRMLuminy,Marseille,FrancepresentedbyLauraGrigori

  *Kroneckerproductapproximationpreconditionerforconvection-diffusionmodelproblems,2007InternationalConferenceonPreconditioningTechniquesforLargeSparseMatrixProblemsinScientificandIndustrialApplications,July9-12,2007,Météopole,Toulouse,France.

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