资源描述:
《domain decomposition methods for the numerical solution of partial differential equations》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
1、LectureNotesinComputationalScience61andEngineeringEditorsTimothyJ.BarthMichaelGriebelDavidE.KeyesRistoM.NieminenDirkRooseTamarSchlickTarekP.A.MathewDomainDecompositionMethodsfortheNumericalSolutionofPartialDifferentialEquationsWith40Figuresand1TableABCTarekPoonitharaAbrahamMat
2、hewtmathew@poonithara.orgISBN978-3-540-77205-7e-ISBN978-3-540-77209-5LectureNotesinComputationalScienceandEngineeringISSN1439-7358LibraryofCongressControlNumber:2008921994MathematicsSubjectClassification(2000):65F10,65F15,65N22,65N30,65N55,65M15,65M55,65K10c2008Springer-Verlag
3、BerlinHeidelbergThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.Duplicationofth
4、ispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.ViolationsareliableforprosecutionundertheGermanCopyrightLaw.Theuseofgeneraldescriptivenames,registeredna
5、mes,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.Coverdesign:WMXDesignGmbH,HeidelbergPrintedonacid-freepaper987654321spinger.comInlovingdedication
6、tomy(late)dearmother,andtomydearfatherandbrotherPrefaceThesenotesserveasanintroductiontoasubjectofstudyincomputationalmathematicsreferredtoasdomaindecompositionmethods.Itconcernsdivideandconquermethodsforthenumericalsolutionandapproximationofpartialdifferentialequations,primari
7、lyofellipticorparabolictype.Themethodsinthisfamilyincludeiterativealgorithmsforthesolutionofpartialdifferentialequations,techniquesforthediscretizationofpartialdifferentialequationsonnon-matchinggrids,andtechniquesfortheheterogeneousapproximationofpartialdifferentialequationsofhe
8、terogeneouscharacter.Thedivideandconquermethodologyusedisbase