This paper presents a taxonomy of existing approaches for using response surfaces for global optimization. Each method is illustrated with a simple numerical example that brings out its advantages and disadvantages. The central theme is that methods that seem quite reasonable often have non-obvious failure modes. Understanding these failure modes is essential for the development of practical al...

this work concerns the peristaltic flow of a williamson fluid model in an inclined asymmetric channel under combined effects of heat and mass transfer. the governing nonlinear partial differential equations are simplified under the lubrication approach and then solved analytically and numerically. the analytical results are computed with the help of regular perturbation and the numerical result...

-In this history of numerical taxonomy since the publication in 1963of Sokal and Sneath's Principles of Numerical Taxonomy, I include reminiscences of the reactions of biologists in Britain and elsewhere. Much of the original program has proved sound. The debate on phenetic and phylogenetic classifications has been valuable, although the logical and theoretical aspects of phenetics have been gr...

The aim of this paper is to present a numerical method for singularly perturbed convection-diffusion problems with a delay. The method is a combination of the asymptotic expansion technique and the reproducing kernel method (RKM). First an asymptotic expansion for the solution of the given singularly perturbed delayed boundary value problem is constructed. Then the reduced regular delayed diffe...

Since information in electronic form is already a standard, and that the variety and the quantity of information become increasingly large, the methods of summarizing or automatic condensation of texts is a critical phase of the analysis of texts. This article describes Cortex a system based on numerical methods, which allows obtaining a condensation of a text, which is independent of the topic...

the main purpose of this article is to increase the efficiency of the least squares method in numerical solution of ill-posed functional and physical equations. determining the least squares of a given function in an arbitrary set is often an ill-posed problem. in this article, by defining artificial constraint and using lagrange multipliers method, the attempt is to turn -dimensional least squ...

BACKGROUND The molecular operational taxonomic unit (MOTU) has recently been applied to microbial and microscopic animal biodiversity surveys. However, in many cases, some of the MOTUs cannot be definitively tied to any of the taxonomic groups in current databases. To surmount these limitations, the concept of "reverse taxonomy" has been proposed, i.e. to primarily list the MOTUs with morpholog...