简介:AcharacterizationoflinearsymplecticRunge-Kuttamethods,whichisbasedontheW-transformationofHairerandWanner,ispresented.Usingthischarac-terizationthreeclassesofhighorderlinearsymplecticRunge-Kuttamethodsareconstructed.TheyincludeandextendknownclassesofhighorderlinearsymplecticRunge-Kuttamethods.
简介:1.IntroductionFirstofall,let’srecallthedefinitionsofsymplecticschemes,revertibleschemes,andFeng’swayofconstructionofsymplecticmethodsviageneratingfunctions.Aswell-known,thephaseflow{g’,tER}ofanyHamiltoniansystem(whereJ~I--i:n1,H:RZn--+RIisasmoothfunc...