Symmetric multistep methods for constrained Hamiltonian systems

Article Article scientifique Article Symmetric multistep methods for constrained Hamiltonian systems eng 2013 author Console Paola 706747 author Hairer Ernst 22695 author Lubich Christian Viktor 38009 517-539 10.1007/s00211-013-0522-z 0029-599X A method of choice for the long-time integration of constrained Hamiltonian systems is the Rattle algorithm. It is symmetric, symplectic, and nearly preserves the Hamiltonian, but it is only of order two and thus not efficient for high accuracy requirements. In this article we prove that certain symmetric linear multistep methods have the same qualitative behavior and can achieve an arbitrarily high order with a computational cost comparable to that of the Rattle algorithm. Dewey 510 Open Access - Licence nationale Springer 25 Section de mathématiques 11 false Numerische Mathematik 124 3 06b3bce2-0af1-481f-b9e4-aabbcbc55921 Article (Published version) Public Console2013_Article_SymmetricMultistepMethodsForCo.pdf 381133 application/pdf openAccess Faculté des sciences / Section de mathématiques

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Symmetric multistep methods for constrained Hamiltonian systems	Numerische Mathematik			2013	445	244

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Lubich, Christian Viktor