简介：Foranarbitrarytensor(multi-indexarray)withlinearconstraintsateachdirection,itisprovedthatthefactorsofanyminimalcanonicaltensorapproximationtothistensorsatisfythesamelinearconstraintsforthecorrespondingdirections.

简介：Extendingtheresultsof[4]intheunivariatecase,inthispaperweprovethatthebivariateinterpolationpolynomialsofHermite-FejerbasedontheChebyshevnodesofthefirstkind,thoseofLagrangebasedontheChebyshevnodesofsecondkindand±1,andthoseofbivariateShepardoperators,havethepropertyofpartialpreservationofglobalsmoothness,withrespecttovariousbivariatemoduliofcontinuity.

简介：Inthispaper,thelinearstabilityofsymplecticmethodsforHamiltoniansystemsisstudied.Inparticular,threeclassesofsymplecticmethodsareconsidered:symplecticRunge-Kutta(SRK)methods,symplecticpartitionedRunge-Kutta(SPRK)methodsandthecompositionmethodsbasedonSRKorSPRKmethods.ItisshownthattheSRKmethodsandtheircompositionspreservetheellipticityofequilibriumpointsunconditionally,whereastheSPRKmethodsandtheircompositionshavesomerestrictionsonthetime-step.