On quadratic invariants and symplectic structure |
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| Authors: | P B Bochev C Scovel |
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| Institution: | (1) Department of Mathematics and Interdisciplinary Center for Applied Mathematics, Virginia Polytechnic Institute, 24061-0531 Blacksburg, Virginia;(2) C-3, MS-B265, Los Alamos National Laboratory, Computer Research Group, 87545 Los Alamos, New Mexico |
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| Abstract: | We show that the theorems of Sanz-Serna and Eirola and Sanz-Serna concerning the symplecticity of Runge-Kutta and Linear Multistep methods, respectively, follow from the fact that these methods preserve quadratic integral invariants and are closed under differentiation and restriction to closed subsystems. |
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| Keywords: | 65L05 70H99 |
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