Norges Teknisk-naturvitenskapelige Universitet Multistep Methods Integrating Ordinary Diierential Equations on Manifolds Multistep Methods Integrating Ordinary Diierential Equations on Manifolds
نویسندگان
چکیده
This paper presents a family of generalized multistep methods that evolves the numerical solution of ordinary di erential equations on con guration spaces formulated as homogeneous manifolds. Any classical multistep method may be employed as an invariant method, and the order of the invariant method is as high as in the classical setting. We present numerical results that re ect some of the properties of the multistep methods. AMS Subject Classi cation: 65L06, 34A50
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