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简介：Theplatformschedulingprobleminbattlefieldisoneoftheimportantproblemsinmilitaryoperationalresearch.Itneedstominimizemissioncompletingtimeandmeanwhilemaximizethemissioncompletingaccuracywithalimitednumberofplatforms.Thoughthetraditionalcertainmodelsobtainsomegoodresults,uncertainmodelisstillneededtobeintroducedsincethebattlefieldenvironmentiscomplexandunstable.Anuncertainmodelisprposedfortheplatformschedulingproblem.Relatedparametersinthismodelaresettobefuzzyorstochastic.Duetotheinherentdisadvantageofthesolvingmethodsfortraditionalmodels,anewmethodisproposedtosolvetheuncertainmodel.Finally,thepracticabilityandavailabilityoftheproposedmethodaredemonstratedwithacaseofjointcampaign.

简介：在有损耗的媒介解决电磁的反的散布问题的一个混合方法被建议。坡度搜索方法首先被用来决定目标的空间分发，然后，蒙特卡罗方法被选择计算scatterer的传导性和介电常数。数字实验的结果证实联合二个方法的混合方法是高精确的，有效，并且适合到全球优化。[从作者抽象]

简介：AFourierspectralschemeisproposedforsolvingtheperiodicproblemofnonlinearKlein-Gordonequation.Itsstabilityandconvergenceareinvestigated.Numericalresultsarealsopresented.

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简介：Aparallelalgorithmforsolvingblock-diagonalstructuredlargelinearsystemispresented.Thisalgorithmisbasedonthe"gradient-simplex"method.Itpartitionsalargelinearsystemintoseveralsmalllinearsubsystemssothattheycanbesolvedinparallel.Thealgorithmhasthemeritofhighspeedandissuitableforthelargelinearsystemswithlesscouplingconstrains.Theefficiencyandapplicabilityofthemethodisalsoanalyzed.

简介：ＭＡＳＳＣＯＮＳＥＲＶＡＴＩＯＮＢＥＨＡＶＩＯＲＯＦＷＡＶＥＥＱＵＡＴＩＯＮＭＯＤＥＬＦＯＲＳＯＬＶＩＮＧＳＨＡＬＬＯＷＷＡＴＥＲＥＱＵＡＴＩＯＮ￥ＷｕＪｉａｎ－ｋａｎｇ（ＨｕａｚｈｏｎｇＵｎｉｖｅｒｓｉｔｙｏｆＳｃｉｅｎｃｅａｎｄＴｅｃｈｎｏｌｏｇ...

简介：这篇论文论述一个统一框架非单调凸的联合算法(例如Frank-Wolfe算法)为解决交通任务问题。Globalconvergence结果在温和条件下面被建立。在我们的算法使用的线搜索过程包括非，单调Armijo统治，非单调Goldstein规则和nonmonotoneWolfe统治同样特殊的情况。那么，新算法能被看作常规凸的联合算法的归纳。

简介：ThepreconditionedGauss-Seideltypeiterativemethodforsolvinglinearsystems,withtheproperchoiceofthepreconditioner,ispresented.ConvergenceofthepreconditionedmethodappliedtoZ-matricesisdiscussed.Alsotheoptimalparameterispresented.NumericalresultsshowthattheproperchoiceofthepreconditionercanleadtoeffectivebythepreconditionedGauss-Seideltypeiterativemethodsforsolvinglinearsystems.

简介：perspective-three-point(P3P)的一个完全的答案分类问题被使用Gr给?bner基础方法。P3P问题推出的多项式系统的解决方案空格的结构能被计算全面Gr获得?bner系统。与概括判别式的性质结合定序，作者给明确的条件决定P3P问题的不同真实积极答案的数字。几个例子被提供说明建议条件的有效性。

简介：TheJacobiandGauss-Seidelalgorithmsareamongthestationaryiterativemethodsforsolvinglinearsystemofequations.Theyarenowmostlyusedasprecondition-ersforthepopulariterativesolvers.Inthispaperageneralizationofthesemethodsareproposedandtheirconvergencepropertiesarestudied.Somenumericalexperimentsaregiventoshowtheefficiencyofthenewmethods.

简介：给一个n维的格子L和某目标向量，这份报纸为近似最靠近的向量问题学习算法(由使用近似最短的独立向量问题神谕的CVP)(SIVP)。更精确，如果在目标向量之间的距离和格子不比c\大({\scriptscriptstyle\frac{c}{\gamman}}{\uplambda}_1\left(\mathrm{L}\right)\)为任意的大却有限的经常的c>0，我们给使随机化并且发现最靠近的向量的确定的多项式时间算法，当以前的减小仅仅为\被知道时({\scriptscriptstyle\frac{c}{2\gamman}}{\uplambda}_1\left(\mathrm{L}\right)\)。而且如果在目标向量和格子之间的距离比关于用SIVP神谕和Babais最近的飞机算法的n(L),的某数量大，我们能解决\(\mathrm{CVP}\upgamma\sqrt{n}\)在确定的多项式时间。特殊，如果近似因素(1，2)在SIVP神谕，我们为CVP获得一个更好的减小因素。

简介：and satellite element 1.,and the satellite element 1. a hybrid type form of  ,for the element

简介：Thepaperisconcernedwithsolvingperiodicboundaryproblemofsemilinearsystems,whichwillbedifferentiablyembeddedintoanone-parameterfamilyofoperators.Thesolutionofthesystemsisthenfoundbycontinuingthesolutioncurveofoperatorhomotopy.WhentheNewton-Kantorovich'sprocedureisappliedtothecorrespondingoperatorequations,anefficientalgorithmisderived.Finally,thetheoreticalresultsareinexcellentagreementwiththenumericalexamples.

简介：Themainobjectiveforthisresearchwastheanalyticalexplorationofthedynamicsofplanarsatelliterotationduringthemotionofanellipticalorbitaroundaplanet.First,werevisittheresultsofJ.Wisdometal.(1984),inwhich,bytheelegantchangeofvariables(consideringthetrueanomalyfastheindependentvariable),thegoverningequationofsatelliterotationtakestheformofanAbelordinarydifferentialequation(ODE)ofthesecondkind,asortofgeneralizationoftheRiccatiODE.WenotethatduetothespecialcharacterofsolutionsofaRiccati-typeODE,thereexiststhepossibilityofsuddenjumpinginthemagnitudeofthesolutionatsomemomentoftime.Inthephysicalsense,thisjumpingoftheRiccati-typesolutionsofthegoverningODEcouldbeassociatedwiththeeffectofsuddenacceleration/decelerationinthesatelliterotationaroundthechosenprincipleaxisatadefinitemomentofparametrictime.Thismeansthatthereexistsnotonlyachaoticsatelliterotationregime(aspertheresultsofJ.Wisdometal.(1984)),butakindofgradientcatastrophe(Arnold,1992)couldoccurduringthesatelliterotationprocess.Weespeciallynotethatifagradientcatastrophecouldoccur,thisdoesnotmeanthatitmustoccur:suchapossibilitydependsontheinitialconditions.Inaddition,weobtainedasymptoticalsolutionsthatmanifestaquasi-periodiccharacterevenwiththestrongsimplifyngassumptionse→0,p=1,whichreducethegoverningequationofJ.Wisdometal.(1984)toakindofBeletskii'sequation.

简介：fig. 4(a) water surface elevation for a circular dam-break circular dam-break,fig. 3(a) water surface elevation for a rectangular dam-break  ,fig. 4(c) velocity field for a circular dam-break

简介：Inthispaper,weconsiderthelocaldiscontinuousGalerkinmethod(LDG)forsolv-ingsingularlyperturbedconvection-diffusionproblemsinone-andtwo-dimensionalset-tings.TheexistenceanduniquenessoftheLDGsolutionsareverified.Numericalex-perimentsdemonstratethatitseemsimpossibletoobtainuniformsuperconvergencefornumericalfluxesunderuniformmeshes.Thankstotheimplementationoftwo-typedif-ferentanisotropicmeshes,i.e.,theShishkinandanimprovedgrademeshes,theuniform2p+1-ordersuperconvergenceisobservednumericallyforbothone-dimensionalandtwo-dimensionalcases.

简介：AbstractIn[16]avisco-elasticrelaxationsystem,calledtherelaxedBurnettsystem,wasproposedbyJinandSlemrodasamomentapproximationtotheBoltzmannequation.TherelaxedBurnettsystemisweaklyparabolic,hasalinearlyhyperbolicconvectionpart,andisendowedwithageneralizedeotropyinequality.ItagreeswiththesolutionoftheBoltzmannequationuptotheBurnettorderviatheChapman-Enskogexpansion.Wedevelopaone-dimensionalnon-oscillatorynumericalschemebasedontherelaxedBurnettsystemfortheBoltzmannequation.Wecomparenumericalresultsforstationaryshocksbasedonthisrelaxationscheme,andthoseobtainedbytheDSMC(DirectSimulationMonteCarlo),bytheNavier-Stokesequationsandbytheextendedthermodynamicswiththirteenmoments(theGradequations).OurnumericalexperimentsshowthattherelaxedBurnettgivesmoreaccurateapproximationstotheshockprofilesoftheBoltzmannequationobtainedbytheDSMC,forarangeofMachnumbersforhypersonicflows,th

简介：Inmanyreal-worldapplicationsofevolutionaryalgorithms,thefitnessofanindividualrequiresaquantitativemeasure.Thispaperproposesaself-adaptivelinearevolutionaryalgorithm(ALEA)inwhichweintroduceanovelstrategyforevaluatingindividual'srelativestrengthsandweaknesses.Basedonthisstrategy,searchingspaceofconstrainedoptimizationproblemswithhighdimensionsfordesignvariablesiscompressedintotwo-dimensionalperformancespaceinwhichitispossibletoquicklyidentify'good'individualsoftheperformanceforamultiobjectiveoptimizationapplication,regardlessoforiginalspacecomplexity.Thisisconsideredasourmaincontribution.Inaddition,theproposednewevolutionaryalgorithmcombinestwobasicoperatorswithmodificationinreproductionphase,namely,crossoverandmutation.Simulationresultsoveracomprehensivesetofbenchmarkfunctionsshowthattheproposedstrategyisfeasibleandeffective,andprovidesgoodperformanceintermsofuniformityanddiversityofsolutions.

简介：InthispaperwestudythesolutionofSATproblemsformulatedasdiscretedecisionanddiscreteconstrainedoptimizationproblems.Constrainedformulationsarebetterthantraditionalunconstrainedformulationsbecauseviolatedconstraintsmayprovideadditionalforcestoleadasearchtowardsasatisfiableassignment.Wesummarizethetheoryofextendedsaddlepointsinpenaltyformulationsforsolvingdiscreteconstrainedoptimizationproblemsandtheassociateddiscretepenaltymethod(DPM).Wethenexaminevariousformulationsoftheobjectivefunction,choicesofneighborhoodinDPM,strategiesforupdatingpenalties,andheuristicsforavoidingtraps.ExperimentalevaluationsonhardbenchmarkinstancespinpointthattrapscontributesignificantlytotheinefficiencyofDPMandforceatrajectorytorepeatedlyvisitthesamesetofornearbypointsintheoriginalvariablespace.Toaddressthisissue,weproposeandstudytwotrap-avoidancestrategies.Thefirststrategyaddsextrapenaltiesonunsatisfiedclausesinsideatrap,leadingtoverylargepenaltiesforunsatisfiedclausesthataretrappedmoreoftenandmakingtheseclausesmorelikelytobesatisfiedinthefuture.Thesecondstrategystoresinformationonpointsvisitedbefore,whetherinsidetrapsornot,andavoidsvisitingpointsthatareclosetopointsvisitedbefore.Itcanbeimplementedbymodifyingthepenaltyfunctioninsuchawaythat,ifatrajectorygetsclosetopointsvisitedbefore,anextrapenaltywilltakeeffectandforcethetrajectorytoanewregion.Itspecializestothefirststrategybecausetrapsarespecialcasesofpointsvisitedbefore.Finally,weshowexperimentalresultsonevaluatingbenchmarksintheDIMACSandSATLIBarchivesandcompareourresultswithexistingresultsonGSAT,WalkSAT,LSDL,andGrasp.TheresultsdemonstratethatDPMwithtrapavoidanceisrobustaswellaseffectiveforsolvinghardSATproblems.