资源描述：
《nonlinear stability of finite volume methods for hyperbolic conservation laws 》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、FrontiersinMathematicsAdvisoryEditorialBoardLuigiAmbrosio(ScuolaNormaleSuperiore,Pisa)LeonidBunimovich(GeorgiaInstituteofTechnology,Atlanta)BenoîtPerthame(EcoleNormaleSupérieure,Paris)GennadySamorodnitsky(CornellUniversity,RhodesHall)IgorShparlinski(MacquarieUniversity,NewSouthWales)Wol
2、fgangSprössig(TUBergakademieFreiberg)Author’saddress:FrançoisBouchutDépartementdeMathématiquesetApplicationsCNRS&EcoleNormaleSupérieure45,rued’Ulm75230Pariscedex05Francee-mail:Francois.Bouchut@ens.fr2000MathematicalSubjectClassification76M12;65M06ACIPcataloguerecordforthisbookisavailabl
3、efromtheLibraryofCongress,WashingtonD.C.,USABibliographicinformationpublishedbyDieDeutscheBibliothekDieDeutscheBibliothekliststhispublicationintheDeutscheNational-bibliografie;detailedbibliographicdataisavailableintheInternetat.ISBN3-7643-6665-6BirkhäuserVerlag,Basel–
4、Boston–BerlinThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,re-useofillustrations,recitation,broadcasting,reproductiononmicrofilmsorinotherways,andstorageindatabanks.Foranykindofusepermissiono
5、fthecopyrightownermustbeobtained.©2004BirkhäuserVerlag,P.O.Box133,CH-4010Basel,SwitzerlandPartofSpringerScience+BusinessMediaCoverdesign:BirgitBlohmann,Zürich,SwitzerlandPrintedonacid-freepaperproducedfromchlorine-freepulp.TCF∞PrintedinGermanyISBN3-7643-6665-6987654321www.birkhauser.chC
6、ontentsPrefacevii1Quasilinearsystemsandconservationlaws11.1Quasilinearsystems..........................11.2Conservativesystems..........................21.3Invariantdomains...........................41.4Entropy.................................51.5Riemanninvariants,contactdiscontinuities
7、.............92Conservativeschemes132.1Consistency...............................142.2Stability.................................152.2.1Invariantdomains.......................152.2.2Entropyinequalities......................162.3ApproximateRiemannsolverofHarten,Lax,VanLeer.......
