caa a22 4500 477037089 CHVBK 20180405111308.0 cr unu---uuuuu 170330e19960901xx s 000 0 eng 10.1007/BF02440162 doi (NATIONALLICENCE)springer-10.1007/BF02440162 Gonzalez O. Division of Applied Mechanics, Department of Mechanical Engineering, Stanford University, 94305, Stanford, CA, USA aut Time integration and discrete Hamiltonian systems [Elektronische Daten] [O. Gonzalez] Summary: This paper develops a formalism for the design of conserving time-integration schemes for Hamiltonian systems with symmetry. The main result is that, through the introduction of a discrete directional derivative, implicit second-order conserving schemes can be constructed for general systems which preserve the Hamiltonian along with a certain class of other first integrals arising from affine symmetries. Discrete Hamiltonian systems are introduced as formal abstractions of conserving schemes and are analyzed within the context of discrete dynamical systems; in particular, various symmetry and stability properties are investigated. Springer-Verlag New York Inc., 1996 Journal of Nonlinear Science Springer-Verlag 6/5(1996-09-01), 449-467 0938-8974 6:5<449 1996 6 332 https://doi.org/10.1007/BF02440162 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02440162 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Gonzalez O. Division of Applied Mechanics, Department of Mechanical Engineering, Stanford University, 94305, Stanford, CA, USA aut NATIONALLICENCE 773 0- Journal of Nonlinear Science Springer-Verlag 6/5(1996-09-01), 449-467 0938-8974 6:5<449 1996 6 332 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer