In the last years, the theory of numerical methods for system of non-stiff and stiff ordinary differential equations has reached a certain maturity. So, there are many excellent codes which are based on Runge–Kutta methods, linear multistep methods, Obreshkov methods, hybrid methods or general linear methods. Although these methods have good accuracy and desirable stability properties such as A...

This paper proposes geometric Ricci–flow as a general model for reaction–diffusion systems and dissipative solitons in mathematical biology.

The geometric processing of remote sensing images becomes a key issue in multisource data integration, management and analysis for many geomatic applications. This paper first reviews the source of geometric distortions, compares the different mathematical models being currently used for the geometric distortion modelling, details the algorithms, methods and processing steps and finally tracks ...

Geometric theories are presented as contractionand cut-free systems of sequent calculi with mathematical rules following a prescribed rule-scheme that extends the scheme given in Negri and von Plato (1998). Examples include cut-free calculi for Robinson arithmetic and real closed fields. As an immediate consequence of cut elimination, it is shown that if a geometric implication is classically d...

This paper presents a mathematical morphology based methodology to identify and extract several components on antique printed books in order to automatically build metadata. These components were previously classified into five different sets (drop capitals, stripes, figures, annotations and text matter) each one characterised by particular geometric features. Based on that assumption several n...

Recent volumetric definitions of Levallois core technology are amenable to mathematical modelling. We present a simple geometric model that permits controlled manipulation of a few of the key parameters defining Levallois core morphology. The models indicate that Levallois cores are relatively efficient at minimizing raw material waste while at the same time maximizing productivity in terms of ...

Optimum selection of cutting conditions importantly contribute to the increase of productivity by minimization of production time and the associated costs, therefore utmost attention is paid to this problem in this contribution. Time is the most important parameter in any operation and all the manufacturing firms aim at producing a product in minimum time to reach the customer quickly and enhan...

The geometric processing of remote sensing images becomes a key issue in multi-source data integration, management and analysis for many geomatic applications. This paper first reviews the source of geometric distortions, compares the different mathematical models being currently used for geometric distortion modelling, details the algorithms, methods and processing steps and finally tracks the...

The highly influential framework of conceptual spaces provides a geometric way of representing knowledge. Instances are represented by points in a high-dimensional space and concepts are represented by regions in this space. Our recent mathematical formalization of this framework is capable of representing correlations between different domains in a geometric way. In this paper, we extend our f...

We review the results of algebro-geometric approach to 4× 4 solutions of the Yang–Baxter equation. We emphasis some further geometric properties, connected with the double-reflection theorem, the Poncelet porism and the Euler–Chasles correspondence. We present a list of classifications in Mathematical Physics with a similar geometric background, related to pencils of conics. In the conclusion, ...