30223.多元重心混合有理插值方法研究

1、獨(dú)創(chuàng)性聲明本人聲明所呈交的學(xué)位論文是本人在導(dǎo)師指導(dǎo)下進(jìn)行的研究工作及取得的研究成果。據(jù)我所知，除了文中特別加以標(biāo)注和致謝的地方外，論文中不包含其他人已經(jīng)發(fā)表或撰寫(xiě)過(guò)的研究成果，也不包含為獲得安徽大學(xué)或其他教育機(jī)構(gòu)的學(xué)位或證書(shū)而使用過(guò)的材料。與我一同工作的同志對(duì)本研究所做的任何貢獻(xiàn)均已在論文中作了明確的說(shuō)明并表示謝意。學(xué)位論文作者簽名：峴峪I簽字日黼6月fo日學(xué)位論文版權(quán)使用授權(quán)書(shū)本學(xué)位論文作者完全了解安徽大學(xué)有關(guān)保留、使用學(xué)位論文的規(guī)定

2、，有權(quán)保留并向國(guó)家有關(guān)部門(mén)或機(jī)構(gòu)送交論文的復(fù)印件和磁盤(pán)，允許論文被查閱和借閱。本人授權(quán)安徽大學(xué)可以將學(xué)位論文的全部或部分內(nèi)容編入有關(guān)數(shù)據(jù)庫(kù)進(jìn)行檢索，可以采用影印、縮印或掃描等復(fù)制手段保存、匯編學(xué)位論文。(保密的學(xué)位論文在解密后適用本授權(quán)書(shū))學(xué)位論文作者鮐禽％懈導(dǎo)師始碾夸簽字日期：沙l忤b月(口日簽字日期：矽悔夕月多。日學(xué)位論文作者畢業(yè)去向：工作單位：電話：18256981590通訊地址：郵編：AbstractThisthesismain

3、lystudiesthemultiplebarycentricblendingrationalinterpolationproblemcombinedwithmultiplebarycentricrationalinterpolationandtheStieltijestypecontinuedfractioninterpolationWeknowthattheessenceoftheinterpolationproblemisbuil

4、dingarelativelysimplefunctionthroughagivendiscretedatavalueswhichisrelativelysimpleandmakesallthegivendiscretepointsareonthefunctionoftheconstructedimageThatisusingvaluesoflimitedpointtoestimatetheapproximatedvaluesoffun

5、ctionattheotherpointsPolynomialinterpolationalthoughhastheadvantagesofsimplestructure，convenientoperation，butthereareSOmeinconvenienceindealingwithnonlinearproblems，mayalsoappearthephenomenonofRunge，andtherationalinterpo

6、lationCallsolvenonlinearfeaturemodel，stillcan’tavoidthedeficitbusinessdoesnotexisttheremaybeproblemsofunattainablepointsandpolesBarycentricrationalinterpolationnotonlymeetsthegiveninterpolationconditions，butalsohassmallc

7、omputation，goodnumedcalstabilityandavoidtheemergenceofthepoleThisthesisbrieflyintroducesseveralkindsofbivariateblendingrationalinterpolationFromtheStieltijestypecontinuedfractioninterpolation，andcombinedwithbarycentricin

8、terpolation，weconstructedStieltijesbarycentricrationalinterpolationfunctionintriangularmesh，throughthedefinitionofblendinginversedifferences，buildingtherecursivealgorithm，SOthattheconstructedrationalinterpolationfunction

9、satisfiesalltheconditions，inaddition，alsogivesthecharacteristicstheoremofthisinterpolationalgorithmanditsproofWeconstructtheTriplebarycentricStieltijesblendingrationalinterpolationonrectangulargridsbasedonStieltjiesratio

10、nalinterpolationandbarycentricrationalinterpolationBydefiningthepartialdifferencesandpartialinversedifferenceswegetarecursivealgorithmProvethatthiskindofinterpolationcanbeavoidedbyvariablecausesthepolesIntheend，bynumeric