Inthispaper,wehavesuggestedseveralinterpolatingformulaewhichareconvinientforvectorcom-puterstoperformvectorcalculation.Analysisshowsthatforasimpleadvectiveproblem,thesemi-Lagrangianschemesconstructedwiththeseformulaearelinearlyunconditionallystable.Moreover,wehavediscussedthenonlinearcomputationalchaosinthesemi-Lagrangianschemes.Itisfoundthatforasimplenonlinearadvectiveproblem,wecanintroducephysicallyunrealanddirectinteractionofthreeormorewaves.Nu-mericaltestsindicatethatthisphenomenonhascertaininfluenceonthesimulatedresultsoftwo-dimensionalBenardconvection.
