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1、NumericalMethodsforEllipticandParabolicPartialDifferentialEquationsPeterKnabnerLutzAngermannSpringerTextsinAppliedMathematics44EditorsJ.E.MarsdenL.SirovichS.S.AntmanAdvisorsG.IoossP.HolmesD.BarkleyM.DellnitzP.NewtonThispageintentionallyleftblankPeterKnabnerLutzAngermannNumer
2、icalMethodsforEllipticandParabolicPartialDifferentialEquationsWith67FiguresPeterKnabnerLutzAngermannInstituteforAppliedMathematicsInstituteforMathematicsUniversityofErlangenUniversityofClausthalMartensstrasse3Erzstrasse1D-91058ErlangenD-38678Clausthal-ZellerfeldGermanyGerman
3、yknabner@am.uni-erlangen.deangermann@math.tu-clausthal.deSeriesEditorsJ.E.MarsdenL.SirovichControlandDynamicalSystems,107–81DivisionofAppliedMathematicsCaliforniaInstituteofTechnologyBrownUniversityPasadena,CA91125Providence,RI02912USAUSAmarsden@cds.caltech.educhico@camelot.
4、mssm.eduS.S.AntmanDepartmentofMathematicsandInstituteforPhysicalScienceandTechnologyUniversityofMarylandCollegePark,MD20742-4015USAssa@math.umd.eduMathematicsSubjectClassification(2000):65Nxx,65Mxx,65F10,65H10LibraryofCongressCataloging-in-PublicationDataKnabner,Peter.[Numer
5、ikpartiellerDifferentialgleichungen.English]Numericalmethodsforellipticandparabolicpartialdifferentialequations/PeterKnabner,LutzAngermann.p.cm.—(Textsinappliedmathematics;44)Includebibliographicalreferencesandindex.ISBN0-387-95449-X(alk.paper)1.Differentialequations,Partial
6、—Numericalsolutions.I.Angermann,Lutz.II.Title.III.Series.QA377.K5752003515′.353—dc212002044522ISBN0-387-95449-XPrintedonacid-freepaper.2003Springer-VerlagNewYork,Inc.Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepublisher
7、(Springer-VerlagNewYork,Inc.,175FifthAvenue,NewYork,NY10010,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhere
8、afterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,se
