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Extrapolation of symplectic Integrators |
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| Authors: | S Blanes F Casas J Ros |
| Institution: | (1) Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge, CB3 9EW, England, e-mail;(2) Departament de Matemàtiques, Universitat Jaume I, 12071- Castellón, Spain, e-mail;(3) Departament de Física Teòrica and IFIC, Universitat de València, 46100- Burjassot, Valencia, Spain, e-mail |
| Abstract: | We build high order numerical methods for solving differential equations by applying extrapolation techniques to a Symplectic Integrator of order 2n. We show that, in general, the qualitative properties are preserved at least up to order 4n+1. This new procedure produces much more efficient methods than those obtained using the Yoshida composition technique. This revised version was published online in July 2006 with corrections to the Cover Date. |
| Keywords: | initial value problems Hamiltonian systems symplectic integrators extrapolation technique |
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