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1、TheoriginalChinesepreliminaryversionofthissyllabuscanbeaccessedfromhttp://www.gschool.sjtu.edu.cn/new/student/tplan/G071503-3.htmEditedbyLiPingHEandBaoruiSONGinMay,2003ModifiedbyJinZENGandGuobiaoZHOUinJuly,2004ReviewedbyJianguoHUANGRearrangedandtranslatedintoEnglishbyWeimin
2、gSHI(GTID:902416684)onJanuary6,2008NumericalAnalysisCourseNumber:G071503Credits/LectureHours:3.0/54Semester:FallCourseTitle:NumericalAnalysisDepartment:DepartmentofMathematicsInstructor:guobiaozhouProspectedStudents:MajorsinMechanicalEngineering,ElectricalEngineering,Materi
3、alScienceandEngineering,EconomicsandManagement,LifeScienceandBiotechnology,Physics,MechanicsormajorsinHumanitiesthatarerequiredtotakethiscourse.Prerequisites:LinearAlgebra,Calculus,ProgrammingLanguageMainTopics:NumericalAlgebra,NumericalApproximation,Numericalsolutionofnonl
4、inearequations,Numericalintegral,NumericalsolutionofordinarydifferentialequationsTextbookandReference：[1]QinyangLINumericalAnalysis(4thEdition),TsinghuaUniversityPress,2005[2]ZhizhongSUN,WeipingYUAN,ZhenchuWEN,NumericalAnalysis,SoutheastUniversityPress,2002[3]J.StoerandR.Bu
5、lirsch,IntroductiontoNumericalAnalysis(2ndEdition),Springer-Verlag,Berlin-NewYork,1993[4]AtkinsonKE,AnIntroductiontoNumericalAnalysis,JohnWiley&Sons,1989CourseContent:PartIIntroductionContent:Motivation,propertiesandbasicrequirementofcomputationalmethods;fundamentalconcepts
6、oferroranderroranalysisRequirement:Understandtheroleofcomputationalmethodsinsolvingpracticalproblemsandthecontent,researchmethods,studymethodsandhistoryofthiscourse.Understandtheerror,theoperationandanalysisoftheerrorincomputationalmethods,thekeyissuesinapproximationcalcula
7、tionandthefundamentalconceptslikethestabilityofnumericalalgorithm,convergenceandconvergencerate.PARTIIInterpolationandApproximation2.1PolynomialInterpolation2.1.1Lagrangeinterpolation2.1.2Newtoninterpolation2.1.3Hermiteinterpolation2.2PiecewiseInterpolation2.2.1Problemsinpo
8、lynomialinterpolations2.2.2Piecewiselinearinterpolation2.2.3PiecewisecubicHermitei
