Stability and efficiency are two important considerations in deriving good numerical methods for ODEs. The underlying challenge is to increase the stability region while maintaining or even improving efficiency. In this paper, we consider this problem within the context of parallel solution...

In this paper, we study a model of rolling that yields a system of differential equations with a low degree of dependence between the different bodies and, hence, a Jacobian with a sparse structure. We utilize this specific topology in the integration of the ODEs with a stiff solver. Due to the...

We simulate the kinetic Ashkin-Teller model with both ordered and disordered initial states, evolving in contact with a heat-bath at the critical temperature. The power-law scaling behaviour for the magnetic order and electric order are observed in the early time stage. The values of the...

The effective forces between two spherical highly charged colloidal macroions are calculated within the primitive model of strongly asymmetric electrolytes using Monte Carlo simulations. For typical parameters corresponding to aqueous suspensions of polystyrene spheres, the forces are found to...

The propagation of a (1 + 1)-dimensional corrosion front into a quasi-two-dimensional aluminum foil confined in an electrochemically inert thin cell was studied experimentally. The corrosion experiments were carried out under controlled electrochemical and flow conditions leading to corrosion...