dc.contributor.author | Antoñana, Mikel | |
dc.contributor.author | Makazaga Odria, Joseba | |
dc.contributor.author | Murua, Ander | |
dc.date.accessioned | 2017-02-10T10:36:37Z | |
dc.date.available | 2017-02-10T10:36:37Z | |
dc.date.issued | 2017-01-31 | |
dc.identifier.uri | http://hdl.handle.net/10810/20607 | |
dc.description.abstract | We propose an implementation of symplectic implicit Runge-Kutta schemes for highly accurate numerical integration of non-stiff Hamiltonian systems based on fixed point iteration. Provided that the computations are done in a given floating point arithmetic, the precision of the results is limited by round-off error propagation. We claim that our implementation with fixed point iteration is near-optimal with respect to round-off error propagation under the assumption that the function that evaluates the right-hand side of the differential equations is implemented with machine numbers (of the prescribed floating point arithmetic) as input and output. In addition, we present a simple procedure to estimate the round-off error propagation by means of a slightly less precise second numerical integration. Some numerical experiments are reported to illustrate the round-off error propagation properties of the proposed implementation. | es |
dc.description.sponsorship | Ministerio de Economía y Comercio: proyecto MTM2013-46553-C3-2-P,
Spanish Ministry of Economy and Competitiveness: project MTM2016-76329-R “IMAGEARTH”,
Basque Government: Consolidated Research Group IT649-13 | es |
dc.language.iso | eng | es |
dc.relation | info:eu-repo/grantAgreement/MINECO/MTM2013-46553-C3-2-P | |
dc.relation | info:eu-repo/grantAgreement/MINECO/MTM2016-76329-R | |
dc.rights | info:eu-repo/semantics/openAccess | es |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
dc.subject | symplectic implicit Runge-Kutta methods | es |
dc.subject | fixed-point iteration | es |
dc.subject | stopping criterion | es |
dc.subject | round-off errors | es |
dc.title | Reducing and monitoring round-off error propagation for symplectic implicit Runge-Kutta schemes | es |
dc.type | info:eu-repo/semantics/article | es |
dc.rights.holder | Attribution 4.0 International | * |
dc.departamentoes | Ciencia de la computación e inteligencia artificial | es_ES |
dc.departamentoeu | Konputazio zientziak eta adimen artifiziala | es_ES |