Stability is one of the important properties of time-stepping numerical schemes that are used to approximate partial differential equations. Stability can be analyzed using Von Neumann stability analysis which is a Fourier method. The analysis results in the Von Neumann stability condition which...

A practically efficient algorithm for analyzing the topology of plane real algebraic curves is given. Given a bivariate polynomial, the algorithm produces a planar graph which is topologically equivalent to the real variety of the polynomial on the Euclidean plane.

This paper presents a computer simulation study of a variety of far-from-equilibrium phenomena that can arise in a bistable chemical reaction-diffusion system which also displays Turing and Hopf instabilities. The Turing bifurcation curve and the wave number for the patterns of maximum linear...

This paper presents a new and general technique for solving the inverse dynamics of flexible robots. The proposed method finds the joint torques that must be applied by the actuators to obtain a specified end-effector trajectory. Moreover, since the inverse dynamic problem for flexible robots is...

This paper presents a study which was conducted on the effect of a robot's geometrical parameters on its dynamic performance under different balancing conditions. This research was undertaken in pursuit of an optimal dynamic performance of industrial robots. In this study an indicator was...

The dynamic model of a robot arm composed of flexible beams and revolute joints is developed using a Rayleigh-Ritz based substructure synthesis technique and the linear theory of elastodynamics. Low-degree power functions in space variables of each substructure (beam) are adopted as shape...

A Boltzmann-like model for the description of processes of outgassing and contamination is proposed. The cavity /oR2, where the contaminants migrate during their motion from the source region /oR1 to the target /oR3, contains a random medium.

In solving systems of algebraic equations we encounter basically two different situations. If the solution space is zero-dimensional we can list the finitely many solutions. This approach, however, fails if the dimension of the solution space is non-zero. We propose to use a parametrized...

The problem of image segmentation can be formulated as one of vector quantization. Although self-organizing networks with competitive learning are useful for vector quantization, they, in their original single-layer structure, are inadequate for image segmentation. This paper proposes and...

In this paper we develop a systematic approach to mechanical assembly which allows rigorous reasoning and is sufficiently general so that it is applicable to different kinds of assemblies. The paper presents a representation scheme based on attribute graphs for describing assembly parts and an...