Numerical Mathematics and Advanced Applications

The European Conference on Numerical Mathematics and Advanced App- cations (ENUMATH) is a series of meetings held every two years to provide a forum for discussion on recent aspects of numerical mathematics and their applications. They seek to convene leading experts and young scientists with special emphasis on contributions from Europe. The ?rst ENUMATH me- ing held in Paris (1995), and the series continued by the ones in Heidelberg (1997), Jyv ¨ askyla ¨ (1999), Ischia (2001) and Prague (2003). This book collects the major part of the lectures given at ENUMATH 2005, that took place in Santiago de Compostela, Spain, from July 18 to 22, 2005. It contents texts of invited speakers, and a selection of papers presented in minisymposia and works communicated within the sessions. The importance of numerical methods has increased dramatically in s- ence and engineering, re?ecting today's unprecedented use of computers. The increasing importance of modeling in addition to numerical simulation was again evident in ENUMATH 2005. Indeed, nodaways mathematics is g- erally accepted as a technology, playing a crucial role in many branches of industrial activity. Recent results and new trends in the analysis of numerical algorithms as well as their application to challenging scienti?c and industrial problems were discussed during the meeting. Apart from the theoretical - pects, a major part of the conference was devoted to numerical methods for interdisciplinary applications, with emphasis on showing the potential of new computational methods for solving practical multidisciplinary problems.