简介：Split-stepPadémethodandsplit-stepfouriermethodareappliedtothehigher-ordernonlinearSchrdingerequation.ItisprovedthatacombinationofPadéschemeandspectralmethodisthemosteffectivemethod,whichhasaspectral-likeresolutionandgoodstabilitynature.Inparticular,weproposeanunconditionalstableimplicitPadéschemetosolveoddordernonlinearequations.NumericalresultsdemonstratetheexcellentperformanceofPadéschemesforhighordernonlinearequations.

简介：Thecomputationalproblemsoftwospecialdeterminantsareinvestigated.Thosedeterminantsappearintheconstructionofthefunction-valuedPade-typeapproximationforcomputingFredholmintegralequationofthesecondkind.Themaintooltobeusedinthispaperisthewell-knownSchurcomplementtheorem.

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