简介:Split-stepPadémethodandsplit-stepfouriermethodareappliedtothehigher-ordernonlinearSchrdingerequation.ItisprovedthatacombinationofPadéschemeandspectralmethodisthemosteffectivemethod,whichhasaspectral-likeresolutionandgoodstabilitynature.Inparticular,weproposeanunconditionalstableimplicitPadéschemetosolveoddordernonlinearequations.NumericalresultsdemonstratetheexcellentperformanceofPadéschemesforhighordernonlinearequations.
简介:Thecomputationalproblemsoftwospecialdeterminantsareinvestigated.Thosedeterminantsappearintheconstructionofthefunction-valuedPade-typeapproximationforcomputingFredholmintegralequationofthesecondkind.Themaintooltobeusedinthispaperisthewell-knownSchurcomplementtheorem.
简介:SometribologicalbehaviorbetweenmatureGampsocleisgratiosafootpadsandverticalflatsofdifferentmaterialswerestudiedinthiswork.stereomieroscope(SMS)andscanningelectronmicroscope(SEM)wereusedtomeasurethemorphologyoftheGampsocleisgratiosafootpads.Anatomicforcemicroscope(AFM)wasusedtomeasurethemorphologiesofthesurfacesofglassandawalldopedwithcalciumcarbonatematerial.TheattachingbehaviorofGampsocleisgratiosafeetonthetwoverticalsurfaceswasobserved.Theattachingforce(perpendiculartotheverticalsurface)andthestaticfrictionalforce(alongthedirectionofgravitation)ofGampsocleisgratiosafootpadsonaverticalglassweremeasured.Itwasshownthattheaverageattachingforceis50.59mNandthestaticfrictionalforceis259.10mN.ThephysicalmodelsoftheattachinginterfacebetweenGampsocleisgratiosafootpadsandthetwoverticalsurfaceswereproposed.Itwasobservedthatthefootpadsaresmoothinmacroscale;however,thepadsurfaceiscomposedbyapproximatehexagonalunitswithsizesof3μmto7μminmicroscale;theadjacentunitsareseparatedbynanoscalegrooves.TheObservationsshowedthattheGampsocleisgratiosacannotclimbtheverticalcalciumcarbonatewall;incontrast,theycaneasilyclimbtheverticalglasssurface.Basedonthefeaturesofthegeometricalmorphologiesofthefootpadsandtheglasssurface,wespeculatethattheattachingforceandstrongstaticfrictionalforceareattributedtotheinterinlaysbetweenthedeformableGampsocleisgratiosafootpadsandthenanoscalesharptipsoftheglasssurface.
简介:摘要现代信息技术的快速发展,给教育事业带来了新的活力。Pad移动终端作为一种新的多媒体技术,它让移动学习成为可能,据此为美术教学开发的软件与日俱增。如何让平板电脑应用在美术教学中,是新时代美术教育应该思考的问题。
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