We investigate the effect of steel plate lining at the rear face of the reinforced concrete panel on the ballistic properties using the semi-empirical model. We determine the structure of the two-layered shield that provides the maximum critical velocity for a given area density and depends on the mechanical properties of concrete and characteristics of the reinforcement. It is found that the o...

A direct rational exponential scheme is offered to construct exact multi-soliton solutions of nonlinear partial differential equation. We have considered the Calogero–Bogoyavlenskii–Schiff equation and KdV equation as two concrete examples to show efficiency of the method. As a result, one wave, two wave and three wave soliton solutions are obtained. Corresponding potential energy of the solito...

We describe an application of using a change of sampling density to get easier access to rare events during numeric simulations (this is called importance sampling). Our emphasis is on the derivation of the change of density instead of the algorithmic details. We work a small example to make the technique concrete.