简介:TheformulationofoptimalcontrolproblemsgovernedbyFredholmintegralequationsofsecondkindandanefficientcomputationalframeworkforsolvingthesecontrolproblemsispresented.Existenceanduniquenessofoptimalsolutionsisproved.AcollectiveGauss-Seidelschemeandamultigridschemearediscussed.OptimalcomputationalperformanceoftheseiterativeschemesisprovedbylocalFourieranalysisanddemonstratedbyresultsofnumericalexperiments.
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简介:在BCK—代数中引进左映射和在BCI—代数中引进弱左映射,并探讨它们的性质。主要结果是:如果X是BCK—代数,Y是正定关联BCK—代数,则所有X到Y的左映射的集合也构成正定关联BCI—代数;如果X是BCI—代数,Y是弱正定关联BCI—代数,则所有X到Y的弱左映射的集合也构成弱正定关联BCI—代数。这推广了文(1)与(2)的结果。
简介:研究Legendre小波方法求解具有一阶导和二阶导类型的线性Fredholmintegro-differential型方程。应用Legendre小波逼近法把这两类方程分别化为代数方程求解.实例说明。Legendre小波在解决这两类方程时的可行性和有效性.
简介:ThispaperdealswiththeapproximatesolutionoftheFredholmequationLu=fofthesecondkindwithf∈H’(Γ).First,wegivetheorderofthen-theoptimalradiusintheworstcasesetting.Then,weshowthattheGalerkinmethodusing2n+1innerproductsoffhasminimalerror.Finally,wegivetheestimateoftheε-complexityoftheFredholmproblemofthesecondkindandGalerkinmethodintheworstcasesetting.
简介:Basedonthebipartiteentangledstaterepresentationandusingthetechniqueofintegrationwithinanorderedproduct(IWOP)ofoperatorsweconstructthecorrespondingoperatorFredholmequationsandthenderivetheirsolutions.Asitsapplicationwededucesomenewbosonicoperatoridentitiesandnewrelationsaboutthetwo-variableHermitepolynomials.
简介:FREDHOLMDETERMINANTSOLUTIONFORNONLINEAREQUATIONSASSOCIATEDWITHISOSPECTRALSCHRODINGEREICENVALUEPROBLEMHuangLiede(黄烈德);XiaZhong...
简介:Inthispaper,weintroduceanewextrapolationformulabycombiningRichardsonextrapolationandSloaniterationalgorithms.Usingthisextrapolationformula,weobtainsomeasymptoticexpansionsoftheGalerkinfiniteelementmethodforsemi-simpleeigenvalueproblemsofFredholmintegralequationsofthesecondkindandimprovetheaccuracyofthenumericalapproximationsofthecorrespondingeigenvalues.Somenumericalexperimentsarecarriedouttodemonstratetheeffectivenessofournewmethodandtoconfirmourtheoreticalresults.