CONJUGATE-SYMPLECTICITY OF LINEAR MULTISTEP METHODS |
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Authors: | Ernst Hairer |
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Institution: | Section de Mathematiques, Univ. de Geneve, CH-1211 Geneve 4, Switzerland |
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Abstract: | For the numerical treatment of Hamiltonian differential equations, symplectic integrators are the most suitable choice, and methods that are conjugate to a symplectic integrator share the same good long-time behavior. This note characterizes linear multistep methods whose underlying one-step method is conjugate to a symplectic integrator. The boundedness of parasitic solution components is not addressed. |
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Keywords: | Linear multistep method Underlying one-step method Conjugate-symplecticity Symmetry |
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