Microelectronics -- Numerical Simulation of Multiscale Models for Radio Frequency Circuits in the Time Domain -- Numerical Simulation of High-Frequency Circuits in Telecommunication -- Wavelet-Collocation of Multirate PDAEs for the Simulation of Radio Frequency Circuits -- Numerical Simulation of Thermal Effects in Coupled Optoelectronic Device-circuit Systems -- Efficient Transient Noise Analysis in Circuit Simulation -- Thin Films -- Numerical Methods for the Simulation of Epitaxial Growth and their Application in the Study of a Meander Instability -- Micro Structures in Thin Coating Layers: Micro Structure Evolution and Macroscopic Contact Angle -- Biochemical Reactions and Transport -- Modeling and Simulation of Hairy Root Growth -- Simulation and Optimization of Bio-Chemical Microreactors -- Computeraided Medicine -- Modeling and Optimization of Correction Measures for Human Extremities -- Image Segmentation for the Investigation of Scattered-Light Images when Laser-Optically Diagnosing Rheumatoid Arthritis -- Transport, Traffic, Energy -- Dynamic Routing of Automated Guided Vehicles in Real-time -- Optimization of signalized traffic networks -- Optimal Sorting of Rolling Stock at Hump Yards -- Stochastic Models and Algorithms for the Optimal Operation of a Dispersed Generation System under Uncertainty -- Parallel Adaptive Simulation of PEM Fuel Cells -- Risk Management in Finance and Insurance -- Advanced Credit Portfolio Modeling and CDO Pricing -- Contributions to Multivariate Structural Approaches in Credit Risk Modeling -- Economic Capital Modelling and Basel II Compliance in the Banking Industry -- Numerical Simulation for Asset-Liability Management in Life Insurance -- On the Dynamics of the Forward Interest Rate Curve and the Evaluation of Interest Rate Derivatives and their Sensitivities.

This book is about the results of a number of projects funded by the BMBF in the initiative “Mathematics for Innovations in Industry and Services”. It shows that a broad spectrum of analytical and numerical mathematical methods and programming techniques are used to solve a lot of different specific industrial or services problems. The main focus is on the fact that the mathematics used is not usually standard mathematics or black box mathematics but is specifically developed for specific industrial or services problems. Mathematics is more than a tool box or an ancilarry science for other scientific disciplines or users. Through this book the reader will gain insight into the details of mathematical modeling and numerical simulation for a lot of industrial applications.