Variational Integrators and the NewmarkAlgorithm for Conservative and DissipativeMechanical SystemsC

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 excellent global energy… CONTINUE READING