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1、FFIRS.qxd6/16/048:37AMPageivQuark03Quark03:DesktopFolder:Chapter-FM:FFIRS.qxd6/16/048:37AMPageivQuark03Quark03:DesktopFolder:Chapter-FM:PublishedbyWorldScientificPublishingCo.Pte.Ltd.5TohTuckLink,Singapore596224USAoffice:27WarrenStreet,Suite401402,Hackensack,NJ07601UKoffice:57SheltonStreet,CoventGar
2、den,LondonWC2H9HEBritishLibraryCataloguing-in-PublicationDataAcataloguerecordforthisbookisavailablefromtheBritishLibrary.COMPUTATIONALMETHODSFORPDEINMECHANICSSeriesonAdvancesinMathematicsforAppliedSciencesVol.67Copyright©2004byWorldScientificPublishingCo.Pte.Ltd.Allrightsreserved.Thisbook,orpartsthe
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5、ookTrimSizefor9inx6inwsdac04PrefaceSeveralphysicalphenomenaaregovernedbypartialdifferentialequations.Obviously,thisisnotamerechance.Indeed,scientistsandtechnicians,followingthescientificmethodintroducedbyGalilei,knowverywellthateverynaturaleventcanbeanalyzedbymeansofarelatedmathematicalmodel.Thisisver
6、yoftenbasedonpartialdifferentialequations.Acel-ebratedandhistoricalexampleisgivenbytheMaxwellequations,whichadmirablydescribetheelectro-magneticfield.Otheremblematic,notlessimportant,modelsare:Fourier(heat)equation,D’Alembert(wave)equa-tion,Laplace/Poisson(potential)equation,Euler/Stokes(fluid)equation
7、s.Mathematicalmodelinghasbeensuccessivelyadoptedbyresearchersworkinginseveralotherfieldsandso,atpresent,partialdifferentialequa-tionscanhelptoexplainphenomenaoccurringinBiology,Medicine,Econ-omy,Sociolo
