Fast precise integration英文学习资料

《Fast precise integration英文学习资料》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、App1．Math．Mech．一Eng1．Ed．，a4(7)，791—800(2013)AppliedMathematicsDOI10．1007／s10483—013-1707-6andMechanics@ShanghaiUniversityandSpringer-VerlagBerlinHeidelberg2013(EnglishEdition)FastpreciseintegrationmethodforhyperbolicheatconductionproblemsFengWu(吴峰)，QiangGAO(高强)，Wan

2、-xieZHONG(钟万勰)(StateKeyLaboratoryofStructuralAnalysisofIndustrialEquipment，DepartmentofEngineeringMechanics，FacultyofVehicleEngineeringandMechanics，DalianUniversityofTechnology，Dalian116023，LiaoningProvince，P．R．China)AbstractAfastpreciseintegrationmethodisdeveloped

3、forthetimeintegralofthehyperbolicheatconductionproblem．Thewavenatureofheattransferisusedtoanalyzethestructureofthematrixexponential，leadingtothefactthatthematrixexponentialissparse．Thepresentedmethodemploysthesparsityofthematrixexponentialtoimprovetheoriginalprecis

4、eintegrationmethod．Themeritsarethattheproposedmethodissuit．ableforlargehyperbolicheatequationsandinheritstheaccuracyoftheoriginalversionandthegoodcomputationaleficiency，whichareverifiedbytwonumericalexamples．Keywordshyperbolicheatconduction，sparsematrix，preciseinte

5、grationmethodmatrixexponential，fastalgorithmChineseLibraryClassificationTB131，0302，0242．12010MathematicsSubjectClassification74H151IntroductionThehyperbolicheatconductiontheoryisappliedwidelyinengineeringfields，e．g．，cryogenicengineeringand1aser—aidedmaterialprocess

6、ing．Thesignificantdifierencebetweenthetradi．tionalFourierheatconductiontheoryandthehyperbolicheatconductiontheoryisthatthehyperbolicheatconductiontheorytakesthewavenatureofthermaltransferintoaccount．Forthehyperbolicheatconductiontheory,thespeedofthethermalwaveisfin

7、ite[11．Manyworkshavebeenpublishedinthisfield．CareyandTsai[2Jpresentedsomenumerica1methodsforone—dimensionalcases，combinedthefiniteelementmethodfFEM)forthespatialdomainandtwodirenceschemesforthetimedomain．anddiscussedtheeffectivenessofthesetwodifierenceschemes．Manza

8、ri[3JandManzariandManzari[4Jpresentedanumericalapproach．combiningtheGalerkinmethodandtheCrank—Nicolsonmethodforsolvingthehyperbolicheatconduction