几类边值方法的稳定区域分析

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2、9.6DissertationfortheMasterDegreeinScienceTHEANALYSISOFSTABILITYREGIONSFORSEVERALBOUNDARYVALUEMETHODSCandidate：LuliSupervisor：Prof.XuYangAcademicDegreeAppliedfor：MasterofScienceSpeciality：ComputationalMathematicsAffiliation：DepartmentofMathematicsDat

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6、°hᐭa⚗¤³Ḅᭆµ，¥ᔠSchura⚗¤JḄDᐵ¥¬，b%bzTVJzTḄᩩ·；ᙠ«¬ᦈ¯ឋ?，ᦻ¥ᔠToeplitz¹▣ḄDᐵឋ%¥¬，»¼ᐸᦈ¯½¾，Kᦈ¯▤。ᨬ，ᦻ:b%bzTVᦪTÀÁ。ᐵÂÃ：ᑖ；zTV；ᦈ¯ឋ；ឋ-1-ᜧᳮắᦻAbstractAsoneofthebranchofmathematics,differentialequationshaveawiderangeofapplicationsinscienceandtechnology,eco

7、nomics,humanitiesandotherfields.However,evenforthesimplestdifferentialequation,itssolutionisquitecomplicated.Sinceinsomeactualproblems,wedonotneedtherealsolutionbutthenumericalsolutionofdifferentialequations,itisimportanttousenumericalmethodstosolvep

8、racticalproblems.Therearemanymethodstodealwiththenumericalsolutionsfordifferentialequations,suchasEulermethods,Runge-Kuttamethodsandlinearmultistepmethods.Asakindofsimpleandconvenientnumericalmethods,linearmultistepmethodshavebeenstudieddeeplyandwide

9、lybyscholars.Withthefurtherexplorationforlinearmultistepmethods,thedefectswhichseemdifficulttobeovercomearewaitingtobesolved.Atthistime,BVMs(BoundaryValueMethods)cameintobeing.BVMs,thepromotionoflinearmultistepmethods,canovercomethedefectsandareknown