Abstract. We analyze a force-based quasicontinuum approximation to a one-dimensional system of atoms that interact by a classical atomistic potential. This force-based quasicontinuum approximation can be derived as the modification of an energy-based quasicontinuum approximation by the addition of nonconservative forces to correct nonphysical “ghost” forces that occur in the atomistic to contin...

We present here an algorithm to simulate the motion of rigid bodies subject to a non–overlapping constraint, and which tend to aggregate when they get close to each other. The motion is induced by external forces. Two types of forces are considered here: drift force induced by the action of a surrounding fluid whose motion is prescribed, and stochastic forces modelling random shocks of molecule...

Moving object segmentation from an image sequence is essential for a robot to interact with its environment. Traditional vision approaches appeal to pure motion analysis on videos without exploiting the source of the background motion. We observe, however, that the background motion (from the robot’s egocentric view) has stronger correlation to the robot’s motor signals than the foreground moti...

The purpose of this study is to propose a high-accuracy and fast numerical method for the Cauchy problem of the Laplace equation. Our problem is directly discretized by the method of fundamental solutions (MFS). The Tikhonov regularization method stabilizes a numerical solution of the problem for given Cauchy data with high noises. The accuracy of the numerical solution depends on a regularizat...

We are emerging from a period of consolidation in particle physics. Its great, historic achievement was to establish the Theory of Matter. This Theory will serve as our description of ordinary matter under ordinary conditions – allowing for an extremely liberal definition of “ordinary” – for the foreseeable future. Yet there are many indications, ranging from the numerical to the semi-mystical,...