In this paper, we develop the theoretical foundations of discrete Dirac mechanics, that is,
discrete mechanics of degenerate Lagrangian/Hamiltonian systems with constraints. We first …

This paper develops the theory of Abelian Routh reduction for discrete mechanical systems
and applies it to the variational integration of mechanical systems with Abelian symmetry …

This article investigates the use of the computation of the exact free rigid body motion as a
component of splitting methods for rigid bodies subject to external forces. We review various …

Geometric aspects play an important role in the construction and analysis of structure-
preserving numerical methods for a wide variety of ordinary and partial differential …

A numerical time integration method for the nonlinear partial differential equations of the
multiconfiguration time-dependent Hartree (MCTDH) approach to quantum molecular …

The geometrically exact model of an elastic rod, formulated in Simo (1985) in [23] the Simo-
Reissner rod model has been proposed and investigated. We present a constrained …

We consider the Landau-Teller model, which is a prototype for the exchanges of energy, in
molecular collisions, between internal degrees of freedom and those of the center of mass …

We consider the numerical integration of two types of systems of differential equations. We
first consider Hamiltonian systems of differential equations with a Poisson structure. We …

In this paper, we propose a second order energy-conserving approximation procedure for
Hamiltonian systems with holonomic constraints. The derivation of the procedure relies on …

If the three moments of inertia are distinct, the solution to the Euler equations for the free
rigid body is given in terms of Jacobi elliptic functions. Using the arithmetic–geometric mean …