A new family of time marching procedures based on Green's function matrices
In this work, a new family of time marching procedures based on Green's function matrices is presented. The formulation is based on the development of new recurrence relationships, which employ time integral terms to treat initial condition values. These integral terms are numerically evaluated taking into account Newton-Cotes formulas. The Green's matrices of the model are also numerically computed, taking into account the generalized-alpha method and subcycling techniques. As it is discussed and illustrated along the text, the proposed procedure is efficient and accurate, providing a very attractive time marching technique. (C) 2010 Elsevier Ltd. All rights reserved.
time marching procedures green's functions time integration generalized-alpha method dynamics