Mathematics is the common language of modern Science, Engineering, and Business. Techniques of mathematical modeling and data analysis are key instruments in the tool kit of modern practitioners and researchers in a wide array of disciplines. The rapid development of computer technology has opened up new perspectives, increased the importance of mathematical models and created an urgent need for efficient algorithms. Reflecting these trends, this edited volume discusses pioneering methods and applications, which precipitate the solution of complex problems - or even make such solutions possible at all. Since visualization has become an important scientific tool, especially in the analysis of complex situations, it is treated in close connection with other areas covered in this book.