滯后校正時(shí)間離散方法保強(qiáng)穩(wěn)定性質(zhì)的研究.pdf

1、碩士學(xué)位論文論文題目濰盤拉垂吐閏離嫩毒法堡壁塾重蝗簋盟盈究作者姓名劉籃學(xué)科專業(yè)墼璺塞導(dǎo)師姓名塹墨望塹籃壅堂蒸墼援完成時(shí)間三魚Q主查生AbstractInthisthesis，westudythestrongstabilitypreserving(SSP)propertyofaclassofdeferredcorrectiontimediscretizationmethods，forsolvingthemethod—oflinessche

2、mesapproximatinghyperbolicpartialdifferentialequationsWewillstudytheSSPpropertiesoftheDCtimediscretizationforthesecond，thirdandfourthorderaccuracy(8=1，2，3)，respectivelyandprovideanumericalexampleofusingtheSSPDCtimediscre

3、tizationscoupledwithaWENOspatialdiscretizationtosolvetheBurgersequation，Thethesisisorganizedasfollows：thefirstchapterpresentsthebackgroundandthebasicideas；inthesecondchapterwestudytheSSPpropertiesoftheDCtimediscretizatio

4、nforthesecond，thirdandfourthorderaccuracy(s=l，2，3)respectively；inthelastchapterweprovideanumericalexampleandsomeremarksKeywords：strongstabilitypreserving；deferredcorrectiontimediscretization；weightedessentiallynonoscilla