摘要
Inthispaper,thelinearstabilityofsymplecticmethodsforHamiltoniansystemsisstudied.Inparticular,threeclassesofsymplecticmethodsareconsidered:symplecticRunge-Kutta(SRK)methods,symplecticpartitionedRunge-Kutta(SPRK)methodsandthecompositionmethodsbasedonSRKorSPRKmethods.ItisshownthattheSRKmethodsandtheircompositionspreservetheellipticityofequilibriumpointsunconditionally,whereastheSPRKmethodsandtheircompositionshavesomerestrictionsonthetime-step.
出版日期
2010年02月12日(中国期刊网平台首次上网日期,不代表论文的发表时间)