SCIENCE

• Continue in the Faculty of Mathematics, Santiago de Compostela International Conference "Numerical Methods for Hyperbolic Equations. Theory and Applications", held in honor of Professor Eleuterio Toro 

More than 130 experts from 20 countries are meeting this week in Santiago de Compostela around Eleuterio F. Toro, a professor of Numerical Analysis at the University of Trento, internationally recognized for his contribution to education and development of numerical methods for partial differential equations. The Department of Applied Mathematics at the University of Santiago de Compostela, with Professor Elena Vazquez Cendón as coordinator organizes these days in his honor the International Conference "Numerical Methods for Hyperbolic Equations. Theory and Applications ", which meets in Compostela to some of the most prominent and leading experts in Numerical Methods for Hyperbolic Equations of the mathematical community and international engineering. 

The hyperbolic equations are part of the "DNA of mathematics" in very significant problems in Computational Fluid Dynamics (CFD), specifically in the hydraulics and oceanography, to model the tsunami, but also for flows in the human body, combustion process, astrophysics and are widely used in industry and business through the implementation of numerical methods that solve in computer code. An impressive panel of scientific experts on Mathematics and Engineering in Santiago these days try all these issues. 

Industry Challenges 
Among other things during the conference talked about the areas in which applies the study of hyperbolic equations, including problems in aerospace propulsion, modeling of security issues associated with nuclear reactors, modeling of broken dams and propagation problems tsunami, and others. His research and study is therefore of great interest to industry. "There are many industrial problems in the numerical simulation of the phenomenon of interest is fundamental. One example, in designing the shape of the wing of an airplane involved the simulation of aerodynamics that corresponds to each possible configuration. This procedure shortens design time and cost by reducing the experimental part, which is usually more expensive, to a narrow range of parameters suggested by theoretical simulation. The possible list of problems of this type would be lengthy. 

Recently it has begun to work on problems of medical interest related to the theoretical modeling of physiological fluids and vascular problems. Toro himself is conducting research in this line because as it says "the great challenge for computational modeling and simulation, perhaps in the long term, the human body, including the entire circulatory system coupled to the respiratory system and other key functions. It is known that the simulation of the arterial system in the human brain is now possible, but it is a very high complexity and cost. " 

Math and Supercomputing 
The improved access to research groups to supercomputers and supercomputing centers and the development of algorithms and numerical methods have changed the math, because "numerical mathematics only makes sense (practice) if the tools exist and are available supercomputing. The effect is also evident in other areas of science such as physics, chemistry and biology. And finally the importance of this pair algorithm / computer engineering at all is absolutely fundamental. And all this has affected and will continue to affect the formation of new engineers and scientists to advanced level. " 

The supercomputer modeling tools give research groups a clear advantage in the study of scientific and technological problems "to solve problems not only practical but also for the development of basic ideas that can potentially lead to inventions worthy of patents or other indicators of quality, "said Toro. 

However, it concludes Eleuterio Toro, "the space available for purely theoretical research has not been in any way reduced. Moreover, in certain areas of mathematics, this space is now even greater. For example, in numerical analysis of hyperbolic equations have opened a series of new theoretical challenges, which is the rigorous justification of the algorithms developed and used in computational practice. " 

The International Conference continues through Friday July 8 at the Faculty of Mathematics of Santiago de Compostela. On Thursday 7 participants will visit the Supercomputing Center of Galicia. And at 11:00 pm: Faculty of Mathematics will be held the signing ceremony and delivery of books by Prof. Toro for all participants in the course. 
See here the program of the International Conference: http://www.usc.es/en/congresos/nmhetatoro65/programa.html