The main purpose of the paper is to show how to use implicit-explicit (IMEX) RungeKutta methods in a much more general context than usually found in the literature, obtaining very effective schemes for a large class of problems. This approach gives a great flexibility, and allows, in many cases the construction of simple linearly implicit schemes without any Newton’s iteration. This is obtained...

A fully implicit iterative integration procedure is developed for local and geographically distributed hybrid simulation of the seismic response of complex structural systems with distributed nonlinear behavior. The purpose of this procedure is to allow experimental elements in simulations using existing fully implicit integration algorithms designed for pure numerical simulations. The implemen...

This paper describes a weight reduction problem of aluminum disc wheels under cornering fatigue constraints. It is a special structural optimization problem because of the existence of the implicit fatigue constraint. A sequential neural network approximation method is presented to solve this type of discrete-variable engineering optimization problems. First a back-propagation neural network is...

Two approaches for approximating the solution of large-scale Lyapunov equations are considered: the alternating direction implicit (ADI) iteration and projective methods by Krylov subspaces. A link between them is presented by showing that the ADI iteration can always be identified by a Petrov-Galerkin projection with rational block Krylov subspaces. Then a unique Krylov-projected dynamical sys...

We look at the computational procedure of computing the response of a coupled fluid-structure interaction problem. We use the so called strong fluid-structure coupling — a totally implicit formulation. At each time step in an implicit formulation, new values for the solution variables have to be computed by solving a nonlinear system of equations, where we assume that we have solvers for the su...