Springer.Hoffman.J.Johnson.C.Computational.Turbulent.Oncompressible.Flow.(Am.Bs.4.Springer.2007)(Isbn.3540465316)(415S)

Springer.Hoffman.J.Johnson.C.Computational.Turbulent.Oncompressible.Flow.(Am.Bs.4.Springer.2007)(Isbn.3540465316)(415S)

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頁數(shù)：415頁

時(shí)間：2019-03-06

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1、JohanHo manandClaesJohnsonComputationalTurbulentIncompressibleFlowSPINSpringer'sinternalprojectnumber,ifknownAppliedMathematics:Body&SoulVol4October20,2006SpringerToourfamiliesPrefaceAppliedMathematics:Body&Soulisamathematicseducationreformpro-gramincludingaseriesofbooks,togetherwithass

2、ociatededucationalmate-rialandopensourcesoftwarefreelyavailablefromtheprojectwebpageatwww.bodysoulmath.org.Body&Soulre ectstherevolutionarynewpossibilitiesofmathematicalmodelingopenedbythemoderncomputerintheformofComputationalCal-culus(CC),whichisnowchangingtheparadigmofmathematicalmode

3、linginscienceandtechnologywithnewmethods,questionsandanswers,asamodernformoftheclassicalcalculusofLeibnizandNewton.TheBody&SoulseriesofbookspresentsCCinasynthesisofcompu-tationalmathematics(Body)andanalyticalmathematics(Soul)includingapplications.Volumes1-3[36]giveamodernversionofcalcul

4、usandlinearalgebraincludingcomputationstartingatabasicundergraduatelevel,andsubsequentvolumesonagraduatelevelcoverdi erentareasofapplicationswithfocusoncomputationalmethods:Volume4:ComputationalTurbulentIncompressibleFlow.Volume5:ComputationalThermodynamics.Volume6:ComputationalDynam

5、icalSystems.ThepresentbookisVolume4,withVolumes5and6toappearin2007andfurthervolumesonsolidmechanicsandelectro-magneticsbeingplanned.AgentleintroductiontotheBody&Soulseriesisgivenin[63].TheoverallgoaloftheBody&SoulprojectmaybeformulatedastheAu-tomationofComputationalMathematicalModeling(

6、ACMM)involvingthekeystepsofautomationof(i)discretization,(ii)optimizationand(iii)mod-eling.TheobjectiveofACMMistoopenformassiveuseofCCinscience,engineering,medicine,andotherareasofapplication.ACMMisrealizedintheFEniCSproject(www.fenics.org),whichmaybeseentorepresentthetopsoftwarepartofB

7、ody&Soul.Theautomationofdiscretization(i)involvesautomatictranslationofagivendi erentialequationinstandardmathematicalnotationintoadiscreteVIIIPrefacesystemofequations,whichcanbeautomaticallysolvedusingnumericallin-earalgebratoproduceanapproximatesolutionofthedi erentialequatio

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