This paper presents the consistency and stability analyses of the Generalized-α methods
applied to non-linear dynamical systems. The second-order accuracy of this class of …

The paper presents theoretical and implementation aspects related to a numerical integrator
used for the simulation of large mechanical systems with flexible bodies and contact/impact …

One of the most difficult problems in the numerical solution of ordinary differential equations
(ODEs) and in differential-algebraic equations (DAEs) is the development of methods for …

A review of diagonally implicit Runge-Kutta (DIRK) methods applied to rst-order ordinary di
erential equations (ODEs) is undertaken. The goal of this review is to summarize the …

In this study, a two-link manipulator with flexible members is considered. The end point
vibration signals are simulated by developing a MatLAB code based on the finite element …

This paper illustrates the performance of several representative implicit A-stable time
integration methods with algorithmic dissipation for multibody system dynamics, formulated …

The paper presents theoretical and implementation aspects related to a new numerical
integrator available in the 2005 version of the MSC. ADAMS/Solver C++. The starting point …

The magnetohydrodynamics (MHD) equations are continuum models used in the study of a
wide range of plasma physics systems, including the evolution of complex plasma dynamics …

Chemical kinetics conserves mass and renders nonnegative solutions; a good numerical
simulation would ideally produce mass-balanced, positive concentration vectors. Many time …

The computation of the final, friction saturated limit cycle oscillation amplitude of an
aerodynamically unstable bladed-disk in a realistic configuration is a formidable numerical …