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morton k., mayers d. numerical solution of partial differential equations.. an introduction (2ed., cup, 2005)( 0521607930)(293s)外语英文电子书

morton k., mayers d. numerical solution of partial differential equations.. an introduction (2ed., cup, 2005)( 0521607930)(293s)外语英文电子书

ID：8041733

大小：3.96 MB

页数：293页

时间：2018-03-04

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1、NumericalSolutionofPartialDifferentialEquationsAnIntroductionK.W.MortonUniversityofBath,UKandD.F.MayersUniversityofOxford,UKSecondEditionCambridge,NewYork,Melbourne,Madrid,CapeTown,Singapore,SãoPauloCambridgeUniversityPressTheEdinburghBuilding,Cambridge,UKPubli

2、shedintheUnitedStatesofAmericabyCambridgeUniversityPress,NewYorkwww.cambridge.orgInformationonthistitle:www.cambridge.org/9780521607933©CambridgeUniversityPress2005Thisbookisincopyright.Subjecttostatutoryexceptionandtotheprovisionofrelevantcollectivelicensingagreements,noreproductionofanypa

3、rtmaytakeplacewithoutthewrittenpermissionofCambridgeUniversityPress.Firstpublishedinprintformat2005-----eBook(NetLibrary)----eBook(NetLibrary)-----paperback----paperbackCambridgeUniversityPresshasnoresponsibilityfortheper

4、sistenceoraccuracyofsforexternalorthird-partyinternetwebsitesreferredtointhisbook,anddoesnotguaranteethatanycontentonsuchwebsitesis,orwillremain,accurateorappropriate.ContentsPrefacetothefirsteditionpageviiiPrefacetothesecondeditionxi1Introduction12Parabolicequationsinonespacevariable72.1

5、Introduction72.2Amodelproblem72.3Seriesapproximation92.4Anexplicitschemeforthemodelproblem102.5Differencenotationandtruncationerror122.6Convergenceoftheexplicitscheme162.7Fourieranalysisoftheerror192.8Animplicitmethod222.9TheThomasalgorithm242.10Theweightedaverageorθ-method262.11Amaximumprin

6、cipleandconvergenceforµ(1−θ)≤13322.12Athree-time-levelscheme382.13Moregeneralboundaryconditions392.14Heatconservationproperties442.15Moregenerallinearproblems462.16Polarco-ordinates522.17Nonlinearproblems54Bibliographicnotes56Exercises56vviContents32-Dand3-Dparabolicequations623.1Theexplici

7、tmethodinarectilinearbox623.2AnADImethodintwodimensions643.3ADIandLODmethodsinthreedimensions703.4Curvedboundaries713.5Applicationtogeneralparabolicproblems80Bibliographicnotes83Exercises834Hyperbolicequationsinonespacedimension864.1Characteristics864.2T

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