偏微分方程參數(shù)識別問題的遺傳程序設(shè)計方法.pdf

1、武漢理工大學(xué)碩士學(xué)位論文偏微分方程參數(shù)識別問題的遺傳程序設(shè)計方法姓名：李云平申請學(xué)位級別：碩士專業(yè)：計算機應(yīng)用技術(shù)指導(dǎo)教師：熊盛武20050501武漢理r大學(xué)碩士學(xué)位論文AbstractItiswellknownthatmanyproblemsfoundedinphysics，mechanicsandengineerandSOoncanbedescribedwithpartialdifferentialequationWiththede

2、velopmentofsociety，theactualdemandofeachfieldcomefromproducing，living(suchas，seekingthechangelawofmaterialslyingintheplacethatcan’tbereached；designingtheproductsaccordingtothespecificfunction；makingtheprocedureaccordingt

3、oacertainpurpose；hopingtogetacertainnewmaterialinindustrialproductionetc)haspromotedrapiddevelopmentagainsttheinverseproblemsofpartialdifferentialequationInrecentyears，differentdisciplinesdomainhasdevelopedsomemethodstos

4、olvetheinverseproblemsbutthesemethodsoftenallhavecertainlimitationSomerequiretherearespecialformsintheequation；somearetherestrictionongeometryisstrongPSTandperturbationmethodaremoreeffectivenumbervaluemethods，theybelongt

5、olinearorsimulationlinearinversionmethod，butthiskindofmethoddependsonthechoosingofinitialmodelstronglyEvolutionarycomputation(EC)isanintelligencealgorithmthatlearnsfromtheevolutionaryprocessinthenatureECemploysacodingtec

6、hnologyandsomegeneticoperationsUnderthepressureofselection，whichmeans‘‘fitssurvive”，thealgorithmcanproduceanoptimalsolutionBecauseECissimpleanditseldomneedsanyadditionalinformationabouttheproblem，ECbecomesageneralsolvero

7、fchallengeproblemsThispaperistoproposeessentialtheorybasedonpartialdifferentialequationsinverseproblemDuetoitsintrinsicill—posednature，wemustusestabilizingmeasurestodealwithregularizationMoreover，mathematicalmethodshavem

8、uchchancetogetstuckatlocalminima，unlessagoodstartingpointisavailableClearlyclassicalmethodsoperatelocallyandarenotintrinsicallyparallelSowebringEAsintopartialdifferentialequationsinverseproblemduetoitscharacterInthispape