Overview: Includes supplementary material: These proceedings collect the major part of the lectures given at ENU- MATH2003, the European Conference on Numerical Mathematics and Ad- vanced Applications, held in Prague, Czech Republic, from 18 August to 22 August, 2003. The importance of numerical and computational mathematics and sci- entific computing is permanently growing. There is an increasing number of different research areas, where numerical simulation is necessary. Let us men- tion fluid dynamics, continuum mechanics, electromagnetism, phase transi- tion, cosmology, medicine, economics
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