简介：ThispaperinvestigatestherobuststochasticstabilityandH∞analysisforstochasticsystemswithtime-varyingdelayandMarkovianjump.Byusingthefreeweightingmatrixtechnique,i.e.,He’stechnique,andastochasticLyapunov-Krasovskiifunctional,newdelay-dependentcriteriaintermsoflinearmatrixinequalitiesarederivedforthetherobuststochasticstabilityandtheH∞disturbanceattenuation.Threenumericalexamplesaregiven.Theresultsshowthattheproposedmethodisefficientandmuchlessconservativethantheexistingresultsintheliterature.更多还原

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简介：工业设备的实时模拟现在是巨大的挑战。处理单位(GPU)的图形提供的高效和有细密纹理的并行计算更近把我们带到我们的目标。在这篇文章，没有接触力量和粒子旋转的正切的部件的考虑，工业规模的旋转鼓用简化分离元素方法(DEM)被模仿。单个GPU首先被使用与大约8000个粒子模仿一个小模型系统在即时，并且模拟然后在一个1D域分解并行化模式用超过200GPU被放大直到工业规模。全面速度关于1/11即时。平行GPU代码的通讯部分的优化能进一步加快模拟，显示如此的即时模拟在不久的将来有不仅方法学而且工业的含意。

简介：Thefollowinginitial-boundaryvalueproblemforthesystemswithmultidimensionalinhomogeneousgeneralizedBenjamin-Bona-Mahony(GBBM)equationsisreviewed.Theexistenceofglobalattractorsofthisproblemwasprovedbymeansofauniformprioriestimatefortime.

简介：Aninitial-boundaryvalueproblemforshallowequationsystemconsistingofwaterdynamicsequations,silttransportequation,theequationofbottomtopographychange,andofsomeboundaryandinitialconditionsisstudied,theexistenceofitsgeneralizedsolutionandsemidiscretemixedfiniteelement(MFE)solutionwasdiscussed,andtheerrorestimatesofthesemidiscreteMFEsolutionwasderived.Theerrorestimatesareoptimal.

简介：Aself-adaptiveprecisealgorithminthetimedomainwasemployedtosolve2-Dnonlinearcoupledheatandmoisturetransferproblems.Byexpandingvariablesatadiscretizedtimeinterval,thevariationsofvariablescanbedescribedmoreprecisely,andanonlinearcoupledinitialandboundaryvalueproblemwasconvertedintoaseriesofrecurrentlinearboundaryvalueproblemswhicharesolvedbyFEtechnique.Inthecomputation,noadditionalassumptionandthenonlineariterationarerequired,andacriterionforself-adaptivecomputationisproposedtomaintainsufficientcomputingaccuracyforthechangesizesoftimesteps.Inthenumericalcomparison,thevariationsofmaterialpropertieswithtemperature,moisturecontent,andbothtemperatureandmoisturecontentaretakenintoaccount,respectively.Satisfactoryresultshavebeenobtained,indicatingthattheproposedapproachiscapableofdealingwithcomplexnonlinearproblems.

简介：Acouplednumericalmethodforthedirectnumericalsimulationofparticle-fluidsystemsisformulatedandimplemented,resolvinganorderofmagnitudesmallerthanparticlesize.Theparticlemotionisdescribedbythetime-drivenhard-spheremodel,whilethehydrodynamicequationsgoverningfluidflowaresolvedbythelatticeBoltzmannmethod(LBM).Particle-fluidcouplingisrealizedbyanimmersedboundarymethod(IBM),whichconsiderstheeffectofboundaryonsurroundingfluidasarestoringforceaddedtothegoverningequationsofthefluid.Theproposedschemeisvalidatedintheclassicalflow-around-cylindersimulations,andpreliminaryapplicationofthisschemetofluidizationisreported,demonstratingittobeapromisingcomputationalstrategyforbetterunderstandingcomplexbehaviorinparticle-fluidsystems.