A MULTISTEP CHARACTERISTIC FINITE DIFFERENCE METHOD FOR TWO-DIMENSIONAL NONLINEAR CONVECTION-DIFFUSION PROBLEMS

1.IntroductionItiswellknowthattheconvection-dictionproblemsareakindofveryimportalprob-lems,particularlylthenonlinearconvection-diffusionproblexns.Inthepaper[1],asinglestepcharacteristicflutedmerencemethodisgivenforsolvingtwcadimensionalnonlinearconvection-dilhaionproblemswiththeconvectivecoefficientsdominating.HereweshallgiveamultistepcharactersticamrencemethodbasedonthelinearandquadraticinterpolationsforsolvingtwcadAnensionalnonlinearconvection-~ionproblemsinordertoincreasetheaccuracyofapprot…     

Research on Insurance Pricing

1.INTRODUCTIONInsurancepricingisaneternalthemeinthestudyofinsurance.Whenwedesignainsuranceproduct,wemusttogiveapricefortheproductinordertoselltheproductininsurancemarkets.Whatiscalledinsurancepricingisactuallytomakeinsurancepremiumofinsuranceproduct.Reasonablepricingofinsuranceproductisofutmostimportancefortheexistenceanddevelopmentofinsurancecompany.Ifpremiumismadetoohigh-priced,althoughinsurancecompanycanobtainhighprofitofunderweightingadcanheightencapacityofinsurancecompanyinpaymentofd…     

A HYBRID METHOD FOR LINEAR PROGRAMMING

1.IntroductionItiswellknownthatsinceKaxmarkax[1]proposedthefirstinferiorpoilltmethod,manyexpertshavebeeninvolvedtoimproveandcompletethismethod.ThereisalotofprogressinthisareaandmanyinteriorpointmethodsaredevelOPed;theinterestedreaderisreferredtotheexcellentbooksofhoandPllthenpura[2]andNesterovandNemirovskiil3].TheseiDteriorpointmethodscanbeclassifiedroughlyintothreecategories:(i)potentialreduction,(n)affinescaling,and(iii)path-following.Theaffine-scalingmethodisshowntoworkwellinpracticebyta…     

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A SINGLESTEP CHARACTERISTIC FINITE DIFFERENCE METHOD FOR TWO-DIMENSIO NALNON LINEAR CONVECTION-DIFFUSIONPROBLEMS

1.IntroductionThenonlinearconvection-diffusionproblemsareakindofveryimportantproblemssuchastheundergroundpercolation,air--pollution,fluidmechanicsmodelingetc.Thenumericalmethodsforsolvingthelinearproblemswiththeconvectivecoefficientsdominating,whicharethecharacteristicfiniteelementandcharacteristicfinitedifferencemethods,aregivenbyJ.DouglasandT.F.Russellin[1]andfurtherdevelopmentin[2]and[3],etc.ButtheconvergenceofmethodsneedstherestrictiveassumptionAt=O(h).Inpracticeonewouldliketotakebigger…     

Investors Thinking and Stock Price Excess Volatility

Muchhasbeenstudiedonreasonsoftheobservablefeaturesofstockmarketprices,suchastheirunpredictable,fluctuatingnatureandtheirirregularitytoswitchfromgenerallybulmarketpricestobearmarketpricesorviceversa.Theconventionalargumentisthattheerraticstockpricesreflectthemore-or-lessrandomnews.But,therehasbeenconcernonthesthcalled"excessvolatility",namely,somefluctuationsofthesepricemovementsmayhaveexceededwhatwouldbeexplainedbyrationalfundamentalvalueadjustmentbasedontherandomnews.Recently,theroleofpsychol…     

高阶摄动波动方程的Lp-Lp′估计

考虑下面高阶摄动方程解u(x,t)的L     

A Sensitivity-Based Heuristic Search for Constrained Optimization in Complex Systems

1.INTRODUCTIONThealgorithmforconstrainedoptimizationincomplexsystemscanbedividedintotwoclasses:exactandheuristicmethods.Theexactmethods,whicharepartlysummarizedbyTitanetal.[1],havecomputationalrequiremeatsthatgrowexponentiajlywiththesizeoftheproblem.AlthoughheuristicmethodshavemodestcomputationalrequirementsandareeasytoAnplemellt,theyaregenerallyforredundancyallocation[2-4].2.S~EMENTOFProBLEM2.1NotationN:nUmberofcomponents;M:numberofconstraints;Rs:systemreliability;Rj:thereliabili…