This paper solves the Laplace equation ∆u = 0 on domains Ω ⊂ R by meshless collocation on scattered points of the boundary ∂Ω. In contrast to the Method of Fundamental Solutions, there are no singularities and no artificial boundaries, since we use new singularity–free positive definite kernels which are harmonic in both arguments. In contrast to many other techniques, e.g. the Boundary Point M...

The viscous Shallow Water Equations and Quasi-Geostrophic Equations are considered in this paper. Some new terms, related to the Coriolis force, are revealed thanks to a rigorous asymptotic analysis. After providing well-posedness arguments for the new models, the authors perform some numerical computations that confirm the role played by the cosine effect in various physical configurations. Ke...

This paper discusses the manipulation of multiple objects grasped by the enveloping grasp. In case of the enveloping grasp, since the contact force cannot be uniquely determined for a given joint torque, the resultant force also cannot be obtained uniquely. We derive a joint torque set enabling the resultant force set directing the desired direction. First, we extract the feature of the contact...

The compressibility of a dissipative particle dynamics (DPD) fluid is studied numerically through several newly developed test models, where both the density and the divergence of the velocity field are considered. In the case of zero conservative force, the DPD fluid turns out to be compressible. Effects of the compressibility are observed to be reduced as the particle mass is chosen to be sma...

We study symmetries of feedforward networks in terms of their corresponding groups and nd that these groups naturally act on and partition weight space. We specify an algorithm to generate representative weight vectors in a speciic fundamental domain. The analysis of the metric structure of the fundamental domain enables us to use the location information of weight vector estimates, e. g. for c...

Fundamental and technical analyses are two common methods for predicting the future behavior of the stock. Fundamental analysis focuses on the economic forces of supply and demand which cause stock prices change. On the other hand, technical analysis examines historical data relating to changes in the price and trading volume by using graphs and indicators as a primary tool to predict future pr...