The long term goal of this research is to explore new numerical methods for the next generation global atmospheric model. The reason for considering new methods is due to the paradigm shift in high performance computing from vector computers to distributed memory machines. To take full advantage of the new architectures the global domain must now be partitioned into subdomains/ elements that ca...

Despite a heated debate regarding a cognitive mechanism of magnitude representation, little has been done to directly compare numerical and non-numerical estimation and provide a unified account of the two processes. In the current study, we examined estimation of numerical and non-numerical quantities on a continuum using various psychophysical functions. Inconsistent with the proportion reaso...

we establish a relationship between general constrained pseudoconvex optimization problems and globally projected dynamical systems. a corresponding novel neural network model, which is globally convergent and stable in the sense of lyapunov, is proposed. both theoretical and numerical approaches are considered. numerical simulations for three constrained nonlinear optimization problems a...

in this paper, a  fuzzy numerical procedure for solving fuzzy linear volterra integro-differential equations of the second kind under strong  generalized differentiability is designed. unlike the existing numerical methods, we do not replace the original fuzzy equation by a $2times 2$ system ofcrisp equations, that is the main difference between our method  and other numerical methods.error ana...

this paper was aimed to report the 3d finite element analysis simulation of laser welding process of ti6al4v 1.7 mm sheets in butt joint in order to predict the temperature distribution, hardness, and weld geometry. the butt-joint welds were made using co2 laser with the maximum power of 2.2 kw in the continuous wave mode. a part of the experimental work was carried out to verify the weld geome...

in this paper, we present a new iterative method with order of convergence eighth for solving nonlinear equations. periteration this method requires three evaluations of the function and one evaluation of its first derivative. a general error analysis providing the eighth order of convergence is given. several numerical examples are given to illustrate the efficiency and performance of the new ...