implementing spectral methods for partial differential equations

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1、ImplementingSpectralMethodsforPartialDifferentialEquationsScientificComputationEditorialBoardJ.-J.Chattot,Davis,CA,USAP.Colella,Berkeley,CA,USAW.Eist,Princeton,NJ,USAR.Glowinski,Houston,TX,USAY.Hussaini,Tallahassee,FL,USAP.Joly,LeChesnay,FranceH.B.Kell

2、er,Pasadena,CA,USAJ.E.Marsden,Pasadena,CA,USAD.I.Meiron,Pasadena,CA,USAO.Pironneau,Paris,FranceA.Quarteroni,Lausanne,SwitzerlandandPolitecnicoofMilan,Milan,ItalyJ.Rappaz,Lausanne,SwitzerlandR.Rosner,Chicago,IL,USAP.Sagaut,Paris,FranceJ.H.Seinfeld,Pasad

3、ena,CA,USAA.Szepessy,Stockholm,SwedenM.F.Wheeler,Austin,TX,USAForothertitlespublishedinthisseries,gotowww.springer.com/series/718DavidA.KoprivaImplementingSpectralMethodsforPartialDifferentialEquationsAlgorithmsforScientistsandEngineersProf.Dr.DavidA.K

4、oprivaDept.ofMathematicsFloridaStateUniversityTallahassee,FL32306-4510USAe-mail:kopriva@math.fsu.eduISBN978-90-481-2260-8e-ISBN978-90-481-2261-5DOI10.1007/978-90-481-2261-5LibraryofCongressControlNumber:2009922124©SpringerScience+BusinessMediaB.V.2009N

5、opartofthisworkmaybereproduced,storedinaretrievalsystem,ortransmittedinanyformorbyanymeans,electronic,mechanical,photocopying,microfilming,recordingorotherwise,withoutwrittenpermissionfromthePublisher,withtheexceptionofanymaterialsuppliedspecificallyfort

6、hepurposeofbeingenteredandexecutedonacomputersystem,forexclusiveusebythepurchaserofthework.Printedonacid-freepaper987654321springer.comTomyWife,myMother,andinmemoryofmyDad.PrefaceThisbookisaimedtobebothatextbookforgraduatestudentsandastartingpointforap

7、plicationsscientists.Itisdesignedtoshowhowtoimplementspectralmethodstoapproximatethesolutionsofpartialdifferentialequations.Itpresentsasystem-aticdevelopmentofthefundamentalalgorithmsneededtowritespectralmethodscodestosolvebasicproblemsofmathematicalph

8、ysics,includingsteadypotentials,transport,andwavepropagation.Assuch,itismeanttosupplement,notreplace,moregeneralmonographsonspectralmethodsliketherecentlyupdated“SpectralMethods:FundamentalsinSingleDomains”and“SpectralMethods:Evolutiont