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KAHAN'S INTEGRATOR AND THE FREE RIGID BODYDYNAMICS
作者姓名:Mircea  Puta
作者单位:Mircea Puta(Department of Mathematics,West University of Timisoara,B-dul. V.Pdrvan,1900Timisoara,Romania; European University Dragan,1800 Lugoj,Romania
摘    要:1.IntroductionAmongotherunconventionalnumericalmethods,Kahanll]hassuggestedadiscretizationofasimpleLotka-Volterasystemwiththepropertythatthecomputed.pointsdonotspiral.ThemotivationofthisbehaviourwasgivenrecentlybySanzSerna3]byshowingthatKahan'sintegratorisasymplecticone.Thegoalofourpaperistostudysomepropertiesofthisintegratorintheparticularcaseofthefreerigidbody.2.TheFreeRigidBodyLetSO(3)betheLiegroupofall3x3orthogonalmatriceswithdeterminantoneandso(3)itsLiealgebra.Itcanbecanonicallyide…


KAHAN'S INTEGRATOR AND THE FREE RIGID BODYDYNAMICS
Mircea Puta.KAHAN'S INTEGRATOR AND THE FREE RIGID BODYDYNAMICS[J].Journal of Computational Mathematics,1999(2).
Authors:Mircea Puta
Abstract:Kahan's integrator for the free rigid body dynamics is described and some ofits properties are pointed out.
Keywords:Kahan's integrator  Free rigid body
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