This book can be an invaluable instrument for overviewing the latest and newest issues in mathematical aspects of scientific computing, discovering new applications and the most recent developments in the old ones. Topics include applications like fluid dynamics, electromagnetism, structural mechanics, kinetic models, free boundary problems, and methodologies like a posteriori estimates, adaptivity, discontinuous Galerkin methods, domain decomposition techniques, and numerical linear algebra. ENUMATH Conferences provide a forum for discussing recent aspects of Numerical Mathematics, they convene leading experts and young scientists with a special emphasis on contributions from Europe. Readers will get an insight into the state of the art of Numerical Mathematics and, more generally, into the field of Advanced Applications.