การเคารพการตัดสินใจของผู้อื่น
ThispaperisdevotedtotheinvestigationofdirectintegratorsofRunge–Kuttatypeforthird-orderordinarydifferentialequations(RKT).Anewtri-coloredtreetheoryandthecorrespondingB-seriestheoryarebuiltsystematically,basedonwhichtheorderconditionsforRKTmethodsarederived.Atwo-stageexplicitRKTmethodoforderfourandathree-stageexplicitRKTmethodoforderfiveareconstructed.ImplicitRKTmethodsofcollocationtypeareconsidered.TheresultsofnumericalexperimentsshowthatourexplicitRKTmethodsaremoreefficientthanthetraditionalRKmethodsofthesamealgebraicorder.