Variational Integrators and the Newmark Algorithm



JERROLD E. MARSDEN
Control and Dynamical Systems
Mail Code 107-81
California Institute of Technology
Pasadena, CA 91125, USA

http://www.cds.caltech.edu/~marsden
marsden@cds.caltech.edu



Abstract:  We begin with a description of progress made on multisymplectic integrators in the context of fluids and elasticity (posters of Pekarsky and West) as well as in model reduction and integration methods in mechanics and specifically in elasticity (posters of Krysl and Lall). The main portion of the talk, which represents joint work with Kane, Ortiz and West, describes recent advances in our understanding of the Newmark algorithm, its variational and hence symplectic nature. In addition, systems with forcing and dissipation are also discussed in this context.



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