Variational integrators and the Newmark algorithm for conservative and dissipative mechanical systems
Variational integrators and the Newmark algorithm for conservative and dissipative mechanical systems
The purpose of this work is twofold. First, we demonstrate analytically that the classical Newmark family as well as related integration algorithms are variational in the sense of the Veselov formulation of discrete mechanics. Such variational algorithms are well known to be symplectic and momentum preserving and to often have …